This is a page that I started when I was an editor of UK Nonlinear News. I stepped down as an editor in August 2004 but I'm still updating this page.

Reviews of Nonlinear Books

In recent years there has been a proliferation of text books, monographs, and reprint collections on various aspects of nonlinear mathematics and its applications. The same period has also seen an increase in the price of academic books.

Unfortunately it is not always possible to look at a book before ordering it. The aim of this article is to help minimise costly mistakes by providing a listing of which books have been reviewed where. This listing is biased towards dynamical systems. The reviews of books that have been reviewed more than once are listed in chronological order.

Reviews in the following journals were consulted to obtain this listing.

• The American Mathematical Monthly.
  • Volume 131 1 (January 2024)-8 (October 2024), 10 (December 2024)
  • Volume 130 (2023)
  • Volume 128 (2021)-129 (2022)
  • Volume 127 1 (January 2020) -6 (June-July 2020), 10 (December 2020).
  • Volume 126 1 (January 2019)- 3 (March 2019), 5 (May 2019)-10 (December 2019)
  • Volume 122 (2015)-125 (2018)
  • Volume 121 1 (January 2014)-8 (October 2014), 10 (December 2014).
  • Volume 113 (2006)-120 (2013).
  • Volume 112 10 (December 2005).
• Australian Mathematical Society Gazette.
  • Volume 51 1 (2024)-2 (2024).
  • Volume 27 (2000)-50 (2023).
• Bulletin (New Series) of the American Mathematical Society.
  • Volume 55, Number 1 (January 2024).
  • Volume 54 (2017)-60 (2023).
  • Volume 53, Number 1 (January 2016)-- 3 (July 2016).
  • Volume 33 (1996)-52 (2015).
• Bulletin of the London Mathematical Society.
  • Volume 27 (1995)-32 (2000).
• Mathematical Intelligencer.
  • Volume 17 (1995)-20 (1998).
• The Mathematics Magazine.
  • Volume 97 2 (April 2024) & 3 (June 2024).
  • Volume 96 (2023).
  • Volume 95 1 (February 2022)-4 (October 2022).
  • Volume 96 1 (February 2022)-3 (June 2023).
  • Volume 94 1 (February 2021).
  • Volume 93 1 (February 2020) to 3 (June 2020), 5 (December 2020).
  • Volume 90-92 (2019).
  • Volume 89, Number 4 (October 2016) to Number 5 (December 2016).
• Proceedings of the Edinburgh Mathematical Society.
  • Volume 42 (Series II), Part 1 (February 1999)
  • Volume 38 (Series II) (1995)-41 (Series II) (1998)
• Nonlinear Science Today.
  • Electronic reviews last checked 14th August 2000.
• SIAM News.
  • Volume 57 1 (January/February 2024)-2 (March 2024), 4 (May 2024)-6 (July/August 2024)
  • Volume 56 1 (January/February 2023)-3 (April 2023), 5 (June 2023)-10 (December 2023).
  • Volume 55 2 (March 2022)-5 (June 2022), 7 (September 2022)-8 (October 2022), 10 (December 2022)
  • Volume 54 1 (January/February 2021)-5 (June 2021), 7 (September 2021)-10 (December 2021).
  • Volume 53 2 (March 2020), 6 (July/August). 8 (October), 10 (December 2020).
  • Volume 52, 1 (January/February 2019) -4 (May 2019), 6 (July/August 2019) -10 (December 2019).
  • Volume 51 (2018)
  • Volume 50, 1 (January/February 2017)-4 (May 2017), 6 (July/August 2017)-10 (December 2017).
  • Volume 40 (2007) - 49 (2016).
  • Volume 39, 1 (January/February 2006) to 2 (March 2006), 5 (June 2006)-10 (December 2006).
  • Volume 33, 4 (May 2000)-6 (July/August 2000).
  • Volume 32, 6 (July/August 1999).
  • Volume 30, 1 (January/February 1997)-5 (June 1997).
• SIAM Review.
  • Volume 63, Number 1 (March 2021).
  • Volume 62, Number 1 (March 2020), Number 3 (September 2020), Number 4 (December 2020).
  • Volumes 37 (1995)-61 (2019).
• UK Nonlinear News: 1 (June 1995)-35 (February 2004).

• Many of the book reviews from Nonlinear Science Today are available online.
• A review of 35 publications concerned with Dynamical Systems, covering the period 1980-1995, written by Carsten Knudsen, appeared in UK Nonlinear News 5 (July 1996).
• A review of 15 publications concerned with dynamical systems and chaos, with an emphasis on the applications of nonlinear dynamics, has been written by John Hogan. It appeared in SIAM Review, Volume 41(2), 375-413, 1999. This review can be downloaded from the SIAM web site at http://epubs.siam.org/sam-bin/dbq/article/97028.

A
• H.D.I. Abarbanel. Analysis of Observed Chaotic Data.
  • Reviewed by Jaroslav Stark in UK Nonlinear News 13 (August 1998).
• M.L. Abell and J.P. Braselton. Differential Equations with Maple V. Second Edition. Academic Press, New York, 1999. xii+719pp., softcover. ISBN 0-12-041560-7.
  • Reviewed by W. O'Criminale in SIAM Review 42, Number 4, December 2000, page 748.
• M.J. Ablowitz, B. Prinari and A.D. Trubatch. Discrete and Continuous Nonlinear Schrödinger Systems. Cambridge University Press, Cambridge, UK, 2004. x+257 pp., hardcover. ISBN 0-521-53437-2.
  • Reviewed by D.J. Kaup in SIAM Review 48, Number 2, June 2006, pages 417-418.
• R.H. Abraham, Laura Gardini, and Christian Mira. Chaos in Discrete Dynamical Systems: A Visual Introduction in 2 Dimensions. Springer-Verlag, New York 1997, xxv+246pp, hardcover. ISBN 0-387-94300-5.
  • Reviewed by Robert L. Delaney in SIAM Review, Volume 40, Number 4, December 1998, pages 1002-1004.
• D. Acheson.
  1. From Calculus to Chaos: An Introduction to Dynamics. Oxford University Press, 1997. ix+269pp, hardback. ISBN 0-19-850257-5.
     1. Reviewed by John Brindley in UK Nonlinear News 11 (February 1998).
     2. Reviewed by J. David Logan in SIAM Review, Volume 41, Number 1, March 1999, pages 181-183.
     3. Reviewed by James Case in SIAM News, Volume 32, Number 6, July/August 1999, pages 7 & 12.
  2. 1089 and All That.
     1. Reviewed by John Brindley in UK Nonlinear News 31 (March 2003).
     2. Reviewed by James Case in SIAM News, Volume 37, Number 3, April 2004, page 8.
• R.P. Agarwal, S.R. Grace and D.O.'Regan. Oscillation Theory for Second Order Dynamic Equations. Taylor & Francis, London, 2003. viii+404pp., hardcover. ISBN 0-415-300074-6.
  • Reviewed by M. Bohner in SIAM Review 46, Number 4, December 2004, pages 748-751.
• A. Ajbar and K. Alhumaizi. Dynamics of the Chemostat: A Bifurcation Theory Approach. Chapman and Hall/CRC Press. Boca Raton, FL, 2017. xiv +354pp., softcover. ISBN 978-1-1381-1278-0.
  • Reviewed by Hal Smith in SIAM Review, 60, Number 3, 2018, pages 773-775.
• E. Akin. The General Topology of Dynamical Systems. American Mathematical Society, 261pp, ISBN 0-8218-3800-8.
  • Reviewed by D.R.J. Chillingworth in Bulletin of the London Mathematical Society, 27, 1995, pages 617-619.
• D.S Alexander, F. Iavernaro and A. Rosa. Early days in complex dynamics: a history of complex dynamics in one variable during 1906-1942. History of Mathematics, volume 38, American Mathematical Society, Providence, RI, London Mathematical Society, London, 2012, xviii+454pp, ISBN 978-0-8218-4464-9.
  • Reviewed by R.A. Pérez in Bulletin (New Series) of the American Mathematical Society, Volume 50, Number 3, July 2013, pages 503-511.
• K. Alhumaizi and R. Aris. Surveying Dynamical Systems: A Study of the Gray-Scott Reaction in a Two-phase Reactor. Pittman Research Notes in Mathematics Series 341.
  • Reviewed by Arjen Doelman in Nonlinear Science Today. (Review posted April 15, 1997)
• K.T. Alligood, T.D. Sauer, and J.A. Yorke. CHAOS: An Introduction to Dynamical Systems. Springer-Verlag, New York, 1997, xvii+603pp, ISBN 0-387-94677-2.
  • Reviewed by David Chillingworth in SIAM Review, Volume 40, Number 3, September 1998, pages 732-733.
• W. Alt, A. Deutsch and G. Dunn. Dynamics of Cell and Tissue Motion: Mathematics and biosciences in interaction.. Birkhäuser, 1997.
  • Reviewed by Steve Baigen in UK Nonlinear News 13 (August 1998).
• A. Ambrosetti and G. Prodi. A Primer on Nonlinear Analysis. Cambridge University Press, 1995, vii +171pp, ISBN 0-521-48573-8.
  • Reviewed by Jet Wimp in The Mathematical Intelligencer, 18(4), 1996, 76-77.
• A.M. Anile, J.K. Hunter, P. Pantano, and G. Russo. Ray Methods for Nonlinear Waves in Fluids and Plasmas. Longman Scientific and Technical, New York, 1993, 243pp, ISBN 0-582-02343-2.
  • Reviewed by Jeffrey Rauch in SIAM Review, Volume 37, Number 1, March 1995, pages 136-137.
• D.V. Anosov (editor). Dynamical Systems IX. Encyclopaedia of Mathematical Sciences 66. Springer-Verlag, 1995, 235pp, ISBN 0-387-57043-8.
  • Reviewed by H.W. Broer in Nonlinear Science Today. (Review posted March 27 1997).
• N. Aoki and K. Hiraide. Topological theory of dynamical systems. North-Holland math Library, volume 52, North-Holland, Amsterdam, 1994, viii+416pp, ISBN 0-444-89917-0.
  • Reviewed by Clark Robinson in Bulletin (New Series) of the American Mathematical Society, Volume 33, Number 4, October 1996, pages 497-499.
• S.S. Antman.
  1. Nonlinear problems of elasticity. Appl. Math. Sci., volume 107, Springer-Verlag, Berlin and New York, 1995, xviii+750pp., ISBN 0-377-94199-1.
     1. Reviewed by Michael Renardy in SIAM Review, Volume 37, Number 4, December 1995, page 637.
     2. Reviewed by J.M. Ball in Bulletin (New Series) of the American Mathematical Society, Volume 33, Number 2, April 1996, pages 269-276.
  2. Nonlinear problems of elasticity (second edition). Springer-Verlag, New York, 2005, xviii+831., ISBN 0-387-20880-1.
     • Reviewed by T.J. Healey in SIAM Review, Volume 49, Number 2, June 2007, pages 346-347.
• S. Kh Aranson, G.R. Belitsky and E.V. Zhuzhoma. Introduction to the Qualitative Theory of Dynamical Systems on Surfaces. American Mathematical Society, Translations of Mathematical Monographs Number 153, 1996, 325pp, ISBN 0-8218-0369-7.
  • Reviewed by R.S. MacKay in Bulletin of the London Mathematical Society, 30, Part 5, September 1998, page 557.
• H. Aref and M.S El Nashie. Chaos Applied to Fluid Mixing. Pergamon, 1995, 380pp.
  • Reviewed by Pascal Chossat in Nonlinear Science Today. (Review posted May 14, 1996).
• L. Arnold. Random Dynamical Systems. Springer-Verlag, 1998, 40 figures, 586pp, ISBN 3-540-63758-3.
  1. Reviewed by Thomas Schreiber in UK Nonlinear News 17 (August 1999).
  2. Reviewed by K.D. Elworthy in Bulletin of the London Mathematical Society, Volume 32, Number 4, July 2000, pages 494-96.
• V.I. Arnol'd. Catastrophe Theory. Springer-Verlag, 3rd edition, 1992, xiii +150pp, translated from the Russian by G.S. Wassermann, based on a translation by R.K. Thomas, ISBN 3-540-54811-4.
  • Reviewed by Jet Wimp in The Mathematical Intelligencer, 18(4), 1996, 73-74.
• V.I. Arnol'd and B.A. Khesin. Topological methods in hydrodynamics. Springer, New York, 1998, xv+374pp, ISBN 0-387-94947-X.
  • Reviewed by Steve Shkoller in Bulletin (New Series) of the American Mathematical Society, Volume 37, Number 2, April 2000, pages 175-181.
• M. Audin. Spinning Tops. Cambridge Studies in Applied Mathematics Volume 51, Cambridge University Press, 1996, 147pp, ISBN 0-521-56129-9.
  1. Reviewed by R.J. Martin in UK Nonlinear News, 7, January 1997.
  2. Reviewed by S.T. Swift in Proceedings of the Edinburgh Mathematical Society 41 (Series II), Part 1, February 1998, 211-213.
BOTTOM. TOP. B
• V.I. Babitsky and V.L. Krupenin. Vibration of Strongly Nonlinear Discontinuous Systems. Springer-Verlag, New York, 2001. 330pp., hardcover. ISBN 3-540-41447-9.
  • Reviewed by F. Verhulst in SIAM Review, Volume 45, Number 2, June 2003, pages 380-381.
• H.T. Banks and C. Castillo-Chavez (editors). Bioterrorism: Mathematical modelling applications in homeland security. SIAM, Philadelphia, PA, USA, 2003, x+240pp. ISBN 0-89871-549-0.
  • Reviewed by O. Diekmann in Bulletin (New Series) of the American Mathematical Society, Volume 42(4), October 2005, 521-527.
• J. Banks, V. Dragan and A. Jones. Chaos, A Mathematical Introduction. Cambridge University Press, 2003, ISBN 0-521-531047.
  • Reviewed by J.A.G. Roberts in The Australian Mathematical Gazette, Volume 31, Number 4, pages 269-271.
• V. Barbu. Analysis and Control of Nonlinear Infinite Dimensional Systems. Academic Press, Boston, 1993, 476pp, ISBN 0-12-078145-X. Mathematics in Science and Engineering, Volume 190.
  • Reviewed by Philip Korman in SIAM Review, Volume 37, Number 4, December 1995, page 633.
• V. Barbu. Nonlinear Differential Equations of Monotone Types in Banach Spaces. Springer, New York, 2010, x+272pp, ISBN 97801044190554108.
  • Reviewed by Nicholas D. Alikakos in SIAM Review, Volume 53, Number 3, September 2011, page 583.
• O.E. Barndoff-Nielsen, J.L. Jensen, and W.S. Kendall (editors). Networks and Chaos - Statistical and Probabilistic Aspects. Monographs on Statistics and Applied Probability 50, Chapman & Hall, 1993. ISBN 0-412-46530-2.
  • Reviewed by S.A. Borovkova and H.G. Dehling in Nonlinear Science Today. (Review Posted March 25, 1998)
• B. Barnes and G. Fulford. Mathematical Modelling with Case Studies: A Differential Equation Approach Using Maple. Taylor & Francis, London, New York, 2003. xiv+428., softcover. ISBN 0-415-298-040.
  • Reviewed by R. Haberman in SIAM Review, Volume 45, Number 4, December 2003, pages 832-834.
• J. Barrow-Green. Poincaré and the Three Body Problem . American Mathematical Society, History of Mathematics Volume 11, 1997.
  1. Reviewed by H.W. Bruer in Nonlinear Sciences Today. (Review posted March 16th 1998)
  2. Reviewed by James Vickers in Bulletin of the London Mathematical Society, 31, Part 1, January 1999, pages 121-123.
• A.D. Bazykin, Nonlinear Dynamics of Interacting Populations (edited by Alexander I. Khibnik and Bernd Krauskopf). World Scientific Series on Nonlinear Science, Volume A11, World Scientific, Singapore, xv+193 pages, ISBN 981-02-1685-8.
  1. Reviewed by Jonathan Swinton in UK Nonlinear News, 15, February 1999.
  2. Reviewed by ??? in SIAM Review Volume 41(4), December 1999, pages ???.
• E. Belbruno. Capture Dynamics and Chaotic Motions in Celestial Mechanics: With Applications to the Construction of Low Energy Transfers. Princeton University Press, Princeton, NJ, USA, 2004. xx+211pp., hardcover. ISBN 0-691-09480-2.
  • Reviewed by K. Meyer in SIAM Review 46, Number 4, December 2004, pages 754-755.
• C.M. Bender and S.A. Orszag. Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory. Springer-Verlag. 1999. xiv+593pp, ISBN 0-387-98931-5.
  • Reviewed by John Billingham in UK Nonlinear News 20 (May 2000).
• A. Berger. Chaos and Chance. Walter de Gruyter, Berlin, 2001. x+245pp., hardcover. ISBN 3-11-016991-6.
  • Reviewed by J. Stark in SIAM Review 44, Number 4, December 2002, pages 743-44.
• M. di Bernardo, C.J. Budd, A.R. Champneys and P. Kowalczyk. Piecewise-Smooth Dynamical Systems. Springer-Verlag, London, 2008, 476pp, ISBN 978-1-84628-039-9.
  • Reviewed by John Guckenheimer in SIAM Review, Volume 50, Number 3, September 2008, pages 606-609.
• A. Beuter, L. Glass, M.C. Mackey and M.S. Titcombe (Editors). Nonlinear dynamics in physiology and medicine. Interdisciplinary Applied Mathematics, volume 25, Springer-Verlag, New York, 2003, xxvi+434pp, ISBN 0-387-00449-1.
  • Reviewed by J. Sneyd in Bulletin (New Series) of the American Mathematical Society, 41(4), 2004, pages 559-564.
• R. Bhattacharya and M. Majumdar. Random Dynamical Systems: Theory and Applications. Cambridge University Press, Cambridge, UK, 2007. xvi+463pp., softcover. ISBN 978-0-521-53272-3.
  • Reviewed by R. Durrett in SIAM Review, Volume 52, Number 2, June 2010, pages 398-399.
• E. Bierstone, B. Khesin, A. Khovanskii and J.E. Marsden (editors). The Arnoldfest: Proceedings of a Conference in Honour of V.I. Arnold for His Sixtieth Birthday. American Mathematical Society, Providence, RI, 1999. xvii+555pp, hardcover. Fields Institute Communications. Volume 24. ISBN 0821 809458.
  • Reviewed by C. Chicone in SIAM Review 42, Number 4, December 2000, pages 745-747.
• G.D. Birkhoff. Dynamical Systems. American Mathematical Society Colloquium Publications, volume IX, 295pp.
  • Reviewed by B.O. Koopman in Bulletin of the American Mathematical Society, Volume 36, 1930, pages 162-166. Excerpted in Bulletin (New Series) of the American Mathematical Society, Volume 37, Number 1, January 2000, page 88.
• G.W. Bluman and S.A. Anco. Symmetry and Integration Methods for Differential Equations. Applied Mathematical Sciences volume 154, Springer-Verlag, New York, 2002. x+419 pages. ISBN: 0-387-98654-5.
  • Reviewed by P. Hydon in UK Nonlinear News 32, May 2003.
• N.A. Bobylev, Y.M. Burman, and S.K. Korovin. Approximation procedures in nonlinear oscillation theory. Nonlinear Analysis and Applications volume 2, Walter de Gruyter, Berlin, 1994, xi+272pp, ISBN 3-11-014132-9.
  1. Reviewed by Gennadi Vainikko in SIAM Review, Volume 38 Number 1, March 1996, pages 181-182.
  2. Reviewed by Hermann Brunner in Bulletin (New Series) of the American Mathematical Society, Volume 33, Number 2, April 1996, pages 277-282.
• S. Boccaletti, A.N. Pisarchik, C.I. Del Genio and A. Amann. Synchroization: From Coupled Systems to Complex Networks. . Cambridge University Press, Cambridge, UK, 2018. x+255pp., hardcover. ISBN 978-1-107-05626-8.
  • Reviewed by J. Sun in SIAM Review 61, Number 3, September 2019, pages 625-630.
• N. Boccara. Modelling Complex Systems. Second Edition. Springer, New York, 2010. xviii+489pp., hardcover. ISBN 978-1-44196561-5.
  • Reviewed by C. Gros in SIAM Review 53, Number 4, December 2004, pages 810-811.
• M. Bohner and A. Peterson (editors). Advances in Dynamic Equations on Time Scales. Birkhäuser Boston, Boston, MA, USA, 2003. xi+348pp., hardcover. ISBN 0-8176-4293-5.
  • Reviewed by S. Bodine in SIAM Review, Volume 45, Number 4, December 2003, pages 824-826.
• C. Bonatti, L.J. Diaz and M. Viana. Dynamics beyond Uniform Hyperbolicity. Springer-Verlag, Berline, 2004. xviii+384pp., hardcover. ISBN 3-540-22066-6.
  • Reviewed by C. Chicone in SIAM Review 47, Number 4, December 2004, pages 816-818.
• C. Börgers. An Introduction to Modeling Neuronal Dynamics. Springer, Cham, 2017. xiv+457pp., hardcover. ISBN 978-3-319-51170-2.
  • Reviewed by B.A.W. Brinkman in SIAM Review, Volume 61, Number 2, June 2019, pages 384-390.
• J. Bourgain. Global Solutions of nonlinear Schrödinger equations. American Mathematical Society, Providence, RI, USA, 1999, viii+182pp, ISBN 0-8218-1919-4.
  • Reviewed by G. Staffilani in Bulletin (New Series) of the American Mathematical Society, Volume 40, Number 1, January 2003, pages 99-107.
• A. Boyarsky and P. Góra. Laws of Chaos: Invariant Measures and Dynamical Systems in One Dimension. Birkhäuser.
  • Reviewed by Jaroslav Stark in UK Nonlinear News 12 (May 1998).
• F. Brauer and C. Castillo-Chavez. Mathematical Models in Population Biology and Epidemiology. Springer-Verlag, 2001. 416 pages. Hardcover. ISBN 0-387-98902-1.
  1. Reviewed by G. Aldis in UK Nonlinear News 25, August 2001.
  2. Reviewed by C.W. Clark in SIAM Review 44, Number 2, June 2002, page 281.
• T.J. Bridges and J.E. Furter. Singularity Theory and Equivariant Symplectic Maps. Lecture Notes in Mathematics, 1558. Springer-Verlag, New York, 1993, vi+226pp, ISBN 0-387-57296.
  • Reviewed by Kenneth R. Meyer in SIAM Review, Volume 37, Number 1, March 1995, page 135.
• M. Brin and G. Stuck. Introduction to Dynamical Systems. Cambridge University Press, Cambridge, UK, 2002. xii+240pp. ISBN 0-521-80841-3.
  • Reviewed by C. Chicone in SIAM Review, Volume 46, Number 1, March 2004, pages 157-162.
• N. Britton. Essential Mathematical Biology. Springer-Verlag, 2003, 92 figures, 335pp, ISBN 1-85233-536-X.
  1. Reviewed by James Sneyd in UK Nonlinear News 35 (February 2004).
  2. Reviewer by D. Kault in The Australian Mathematical Society Gazette, Volume 31, Number 1, March 2004, pages 53-54.
• H. Broerand F. Takens. Dynamical Systems and Chaos. Springer, New York, 2011. xiv+313., hardcover. ISBN 978-1-4419-6869-2
  • Reviewed by G. Kovacic in SIAM Review 53, Number 4, December 2011, pages 813-815.
• F.H. Busse and S.C. Muller (editors). Evolution of Spontaneous Structures in Dissipative Continuous Systems. Lecture Notes in Physics series. Springer, Berlin, 1998, 583pp. ISBN 3-540-65154-3.
  • Reviewed by Alastair Rucklidge in UK Nonlinear News 26 (November 2001).
BOTTOM. TOP. C
• H. Cabral and F. Diacu (editors). Classical and celestial mechanics. Princeton University Press, Princeton, NJ, 2002. xviii + 385pp, ISBN 0-691-05022-8.
  1. Reviewed by K.R. Meyer in SIAM Review, Volume 45, Number 3, September 2003, pages 614-615.
  2. Reviewed by R. Moeckel in Bulletin (New Series) of the American Mathematical Society, Volume 41(1), January 2004, pages 121-125.
• L.A. Caffarelli and Xavier Cabré. Fully nonlinear elliptic equations. Amer. Math. Soc. Colloquium Publications, volume 43, American Mathematical Society, Providence, RI, 1995, vi+104pp, ISBN 0-8218-0437-5.
  1. Reviewed by John Urbas in Bulletin (New Series) of the American Mathematical Society, Volume 34, Number 2, April 1997, pages 187-191.
  2. Reviewed by D.E. Edmunds in Bulletin of the London Mathematical Society, 29, Part 6, November 1997, pages 764-765.
• S.L. Campbell and R. Haberman. Introduction to Differential Equations with Dynamical Systems. Princeton University Press, Princeton, JS, 2008. xiv+430pp., hardcover. ISBN 978-0-691-1247402.
  • Reviewed by R.E. O'Malley Jr in SIAM Review, Volume 50, Number 4, December 2008, pages 817-818.

• R.S. Cantrell and C. Cosner. Spatial ecology via reaction-diffusion equations. John Wiley & Sons Ltd., Chichester, UK, 2003, 428pp, ISBN 0-471-49301-5.
  • Reviewed by H.L. Smith in Bulletin (New Series) of the American Mathematical Society, 41(4), 2004, pages 551-557.
• C. Castillo-Chavez, S. Blower, P. van den Driessche, D. Kischner and A-A. Yakubu (editors). Mathematical Approaches for Emerging and Reemerging Infectious Diseases . The IMA Volumes in Mathematics and its Applications Volume 125 `An Introduction' and Volume 126 'Models, Methods and Theory'.

  Volume 125	Volume 126
  82 figures. X. 368 pages	69 figures. X. 368 pages
  Hardcover. ISBN 0-387-95354-X	Hardcover. ISBN 0-387-95355-8
  Springer Verlag, 2002

  • Reviewed by G. Aldis in UK Nonlinear News 30 (November 2002).
• D.P.L. Castrigiano and S.A. Hayes. Catastrophe Theory. Addison-Wesley, Reading, MA, 1993, 250pp, ISBN 0-201-55590-5.
  • Reviewed by David Chillingworth in SIAM Review, Volume 37, Number 1, March 1995, pages 118-119.
• G. Chen and X. Dong. From Chaos to Order: Methodologies, Perspectives and Applications. World Scientific Publishing Company, Singapore, May 1998, 760pp, ISBN 981-02-2569-5.
  • Reviewed by Thomas Schreiber in UK Nonlinear News 17 (August 1999).
• N. Chernov and R. Markarian. Chaotic billiards. American Mathematical Society, Providence, RI, 2006. xii + 316pp, ISBN 0-8218-4096-7-1.
  • Reviewed by L. Bunimovich in Bulletin (New Series) of the American Mathematical Society, Volume 46(4), October 2009, pages 683-690.
• C. Chicone. Ordinary Differential Equations with Applications. Texts in Applied Mathematics. Volume 34. Springer-Verlag, New York, 1999. xvi+561 pp, hardcover. ISBN 0-387-98535-2.
  • Reviewed by R. Schäfke and F. Verhulst (two reviews) in SIAM Review, Volume 43, Number 2, June 2001, pages 370-373.
• C-S. Chou and A. Friedman. Introduction to Mathematical Biology: Modeling, Analysis, and Simulation. Springer-Verlag, Cham, 2016. viii+172 pp, hardcover. ISBN 978-3-319-29636-4.
  • Reviewed by R. Dillon in SIAM Review, Volume 60, Number 2, June 2018, pages 212-213.
• Y.J. Cho, T.M. Rassias and R. Saadati. Stability of Functional Equations in Random Normed Spaces. Springer, New York, 2014. xx+246pp., hardcover. ISBN 978-1-4614-8476-9.
  • Reviewed by J. Brzdek in SIAM Review, Volume 57, Number 1, June 2015, pages 157-159.
• Shee-Nee Chow, Chengzhi Li, and Duo Wang. Normal Forms and Bifurcation of Planar Vector Fields. Cambridge University Press, New York, 1994, vii+472pp, ISBN 0-521-37226-7.
  • Reviewed by Kenneth R. Meyer in SIAM Review, Volume 37, Number 2, June 1995, pages 269-270.
• A.R. Chowdhury. Lie algebraic methods in integrable systems. Research Notes in Mathematics 415, Chapman and Hall, 2000, ISBN 1-584880-37-6.
  • Reviewed by A.P. Fordy in UK Nonlinear News 22 (November 2000)
• C. Christopher and C. Li. Limit cycles of differential equations. Birkäuser Verlag, Basel, 2007. viii + 171pp, ISBN 978-3-7643-8409-8.
  • Reviewed by F. Dumortier in Bulletin (New Series) of the American Mathematical Society, Volume 46(4), October 2009, pages 697-701.
• C.I. Christov and A. Guran. Selected Topics in Nonlinear Wave Mechanics. Birkhauser.
  • Reviewed by John Billingham in UK Nonlinear News 31 (March 2003).
• P. Collet, S. Martinez, and J.S. Martin. Quasi-stationary distributions: Markov Chains, Diffusions and Dynamical Systems. Springer, New York, 2013. xvi+280pp., hardcover. ISBN 978-3-642-33130-5.
  • Reviewed by W. Bahsoun in SIAM Review Volume 55, Number 4, December 2013, page 799.

• F. Colonius and W. Kliemann. The Dynamics of Control. Birkhauser, 2000. Hardback, 629 pages. ISBN 0-8176-3683-8.
  • Reviewed by Jaroslav Stark in UK Nonlinear News 31 (March 2003).
• A. Constantin. Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis. SIAM, Philadelphia, 2011. ix +331pp., softcover. ISBN 978-1-611971-86-6.
  • Reviewed by V. Vasan in SIAM Review Volume 55, Number 1, March 2013, pages 200-202.
• G. Continillo, S. Crescitelli & P.G. Lignola (editors). Analysis, simulation, dynamics of chemical reactors: Introduction to some fundamental techniques. CUEN, Napoli, Italy. 1995. ISBN: 88 7146 293-9.
  • Reviewed by Harvinder S. Sidhu in UK Nonlinear News, 15, February 1999.
• H. Crauel and M. Gundlach (editors). Stochastic Dynamics. Springer, 1999, ISBN 0-387-98512-X.
  • Reviewed by K.D. Elworthy in Bulletin of the London Mathematical Society, 32, Number 4, July 2000, pages 494-496.
• M. Cross and H. Greenside. Pattern Formation and Dynamics in Nonequilibrium Systems. Cambridge University Press, Cambridge, UK, 2009. xvi+535pp, hardcover. ISBN 978-0-521-77050-7.
  • Reviewed by E. Knobloch in SIAM Review, Volume 52(3), September 2010, pages 567-572.
• P. Cull, M. Flahive and R. Robson. Difference Equations: From Rabbits to Chaos.. Springer-Verlag, New York, 2005. xiv+392pp., hardcover. ISBN 0-387-23223-8.
  • Reviewed by A. Peterson in SIAM Review 48, Number 1, December 2006, page 194.
• R.H. Cushman and L.M. Bates. Global Aspects of Classical Integrable Systems. Birkhäuser-Verlag, Basel, Switzerland, 1997, xv+435 pp, ISBN 3-7643-5485-2.
  1. Reviewed by Richard Montgomery in SIAM Review, Volume 40, Number 1, March 1998, pages 164-167.
  2. Reviewed by E. Lerman in Nonlinear Science Today. (Review Posted May 26, 1999)
BOTTOM. TOP. D
• D.J. Daley and J. Gani. Epidemic Modelling: An Introduction.. Cambridge University Press, Cambridge, UK, 1999. xii+213pp., softcover. ISBN 0-521-64079-2.
  • Reviewed by P.D. O'Neill in SIAM Review 43, Number 4, December 2001, page 731.
• V. Damgov. Nonlinear and Parametric Phenomena: Theory and Applications in Radiophysical and Mechanical Systems.. World Scientific, Singapore, 2004. x+554pp., hardcover. ISBN 981-02-3051-6.
  • Reviewed by R.E. Mickens in SIAM Review 48, Number 1, December 2006, pages 186-187.
• B. Davies. Exploring Chaos: Theory and Experiment. Perseus Books, Reading, MA, USA, 1999. xiii+237pp, hardcover. ISBN 0-7382-0090-5.
  1. Reviewed by M.T. Batchelor in The Australian Mathematical Society Gazette Volume 27, Number 3, August 2000, pages 124-125.
  2. Reviewed by S.H. Strogatz in SIAM Review, Volume 42, Number 4, December 2000, pages 765-766.
• P. Dayan and L.F. Abbott. Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems. MIT Press, Cambridge, MA, 2001. xv+490pp, hardcover. ISBN 0-262-04199-5.
  • Reviewed by G. Bart Ermentrout in SIAM Review, Volume 44, Number 4, December 2002, pages 718-726.
• F. Diacu and P. Holmes. Celestial Encounters: The Origins of Chaos and Stability. Princeton University Press, Princeton, New Jersey, 1996, 280pp.
  1. Reviewed by Glen R. Hall in SIAM News Volume 30, Number 5, June 1997, pages 7,10.
  2. Reviewed by David Knapp in UK Nonlinear News 9, August 1997.
  3. Reviewed by H.W. Bruer in Nonlinear Sciences Today. (Review posted March 16th 1998)
  4. Reviewed by James Vickers in Bulletin of the London Mathematical Society, 31, Part 1, January 1999, pages 121-123.
• O. Diekmann and J.A.P. Heesterbeek. Mathematical Epidemiology of Infectious Diseased: Model Building, Analysis and Interpretation. Wiley, Chichester, UK, 2000. xvi+303pp., softcover. ISBN 0-471-49241-8.
  • Reviewed by H.W. Hethcote in SIAM Review 43, Number 4, December 2001, pages 724-25.
• H.A. Dijkstra. Nonlinear Physical Oceangraphy: A Dynamical Systems Approach to the Large Scale Ocean Circulation and El Niño. Kluwer Academic, Dordrecht, The Netherlands, 2000. xviii+456pp., hardcover. ISBN 0-7923-6522-4.
  • Reviewed by W.W. Orlando in SIAM Review 44, Number 1, March 2002, pages 155-56.
• L. Dingjun, W. Xian, Z. Deming and H. Maoan. Bifurcation Theory and Methods of Dynamical Systems. World Scientific, Singapore, 1997. xiii+462pp, hardcover. ISBN 981-02-2094-4.
  • Reviewed by Kenneth R. Meyer in SIAM Review, Volume 42(2), June 2000, pages 357-358.
• E. Doedel and L.S. Tuckerman (editors). Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems. The IMA Volumes in Mathematics and its Applications Volume 119, Springer-Verlag, 471 pages, hardcover, ISBN: 0-387-98970-6.
  • Reviewed by H. Sidhu in UK Nonlinear News 23 (February 2001).
• A. Doelman and A. van Harten (Editors). Nonlinear Dynamics and Pattern Formation in the Natural Environment. Pitman Research Notes in Mathematics Series 335. Longman, Essex, 1995, 331pp.
  • Reviewed by Jürgen Scheurle in Nonlinear Science Today. (Review posted April 10 1997)
• P. Drabek, A. Kufner and F. Nicolosi. Quasilinear Elliptic Equations with Degenerations and Singularities. Walter de Gruyter, Berlin, 1997. Xii+219pp, hardcover. ISBN 3-11-015490-0.
  • Reviewed by Peter Lindqvist in SIAM Review Volume 41(4), December 1999, pages 837-838.
• D.S. Drumheller. Introduction to Wave Propagation in Nonlinear Fluids and Solids . Cambridge University Press, Cambridge, 1998, ISBN 0 521 58746 8 (paperback).
  • Reviewed by Penny Davies in UK Nonlinear News 17 (August 1999).
BOTTOM. TOP. E
• R.W. Easton. Geometric Methods for Discrete Dynamical Systems. Oxford University Press, Oxford, UK, 1998. xiii+157pp, hardcover. ISBN 0-19-508545-0.
  • Reviewed by Tasso Kaper in SIAM Review, 42(2), June 2000, pages 347-349.
• G. Edgar. Integral, probability, and fractal measures. Springer-Verlag, New York, 1998. x + 286pp, ISBN 0-387-98205-1.
  • Reviewed by L. Oslen in Bulletin (New Series) of the American Mathematical Society, Volume 37(4), October 2000, pages 481-498.
• S.P. Ellner and J. Guckenheimer. Dynamic Models in Biology. Princeton University Press, Princeton, NJ, 2006. xxii+329pp., softcover. ISBN 0-691-12589-9.
  • Reviewed by M. Mangel in SIAM Review, 49(1), March 2007, pages 144-146.
• P. Embrechts and M. Maejima. Selfsimilar Processes Princeston Series in Applied Mathematics, 2002. 111 pages. ISBN: 0-6-09627-9.
  • Reviewed by H.J. Jensen in UK Nonlinear News 32, May 2003.
• R.H. Enns and G.C. McGuire. Nonlinear Physics with Maple for Scientists and Engineers (Second Edition). Birkhauser Press, 2000. 661 pages (CD-ROM included). ISBN: 0-8176-4119-X.
  • Reviewed by H. Sidhu in UK Nonlinear News 25, August 2001.
• I.R. Epstein and J.A. Pojman. An Introduction to Nonlinear Chemical Dynamics. Oscillations, Waves, Patterns, and Chaos. Oxford University Press, Oxford, UK, 1998. xiv+392pp, hardcover. ISBN 0-19-509670-3.
  • Reviewed by F.W. Schneider in SIAM Review, Volume 42(2), June 2000, pages 361-363.
• L.H. Erbe, Q.K. Kong, and B.G. Zhang. Oscillation Theory for Functional Differential Equations. Monographs and Textbooks in Pure and Applied Mathematics 190, Marcel Dekker, New York, 1994, vii+504pp, ISBN 0-8247-9598-9.
  • Reviewed by Ovide Arino in SIAM Review, Volume 38, Number 4, December 1996, pages 680-681.
• B. Ermentrout. Simulating, Analyzing, and Animating Systems: A Guide to XPPAUT for Researchers and Students. SIAM, Philadelphia, PA, 2003. xiv+290pp., softcover. ISBN 0-89871-506-7.
  • Reviewed by S.R. Lubkin in SIAM Review, Volume 45, Number 1, March 2003, pages 150-152.
BOTTOM. TOP. F
• C.P. Fall, E.S. Marland, J.M. Wagner and J.J. Tyson (editors). Computational Cell Biology. Springer Verlag, New York, 2002, xx+468pp. ISBN 0-387-95369-8.
  1. Reviewed by J. Sneyd in UK Nonlinear News 30 (November 2002).
  2. Reviewed by A. Scott in SIAM Review, Volume 45, Number 2, June 2003, pages 377-379.
• M. Farkas. Dynamical Models in Biology. Academic Press, London 2001. x+187pp. ISBN 0-12-249103-3.
  • Reviewed by J.M. Cushing in SIAM Review, Volume 44, Number 3, September 2002, pages 485-486.
• M. Farkas. Periodic Motions. Springer-Verlag, Appl. Math. Sci., volume 104, Berlin and New York, 1994, xiii+577pp., ISBN 0-387-94204-1.
  1. Reviewed by H.I. Freedman in SIAM Review Volume 37, Number 4, December 1995, page 626.
  2. Reviewed by H.I. Freedman in Bulletin (New Series) of the American Mathematical Society Volume 35, Number 1, January 1996: page 119.
• R. Feres. Dynamical Systems and semisimple groups, an introduction. Cambridge University Press, 1998, xvi+245pp, ISBN 0-521-59162-7.
  • Reviewed by S. Adams in Bulletin (New Series) of the American Mathematical Society, Volume 39, Number 3, July 2002, pages 415-423.
• V.V. Filippov. Basic Topological Structures of Ordinary Differential Equations. Kluwer, Dordrecht, the Netherlands, 1998. Xiv+516 pp, hardcover, Mathematics and its Applications. Volume 432. ISBN 0-7923-4951-2.
  • Reviewed by Ray Redheffer in SIAM Review Volume 41(4), December 1999, pages 841-843.
• D.B. Forger. Biological Clocks, Rhythms, and Oscillations. MIT Press, Cambridge, MA, USA, 2017. xix +368pp., hardcover. ISBN 978-0-262-03677-1.
  • Reviewed by John W. Cain in SIAM Review Volume 60(4), December 2018, pages 1013-1016.
• A.C. Fowler. Mathematical Models in the Applied Sciences. Cambridge Texts in Applied Mathematics, Volume 17. Cambridge University Press, Cambridge, 1997, xiv+402 pp, ISBN 0 521 46140 5 (hardback), ISBN 0 521 46703 9 (paperback).
  1. Reviewed by J. David Logan in SIAM Review, Volume 40, Number 3, September 1998, pages 745-746.
  2. Reviewed by Rob Seymour in UK Nonlinear News, 14 (November 1998).
• M.I. Freidlin and A.D. Wentzell. Random Perturbations of Dynamical Systems. Springer-Verlag, New York 2012. xxvi+486pp. ISBN 978-3-642-25846-6.
  • Reviewed by H. Qian and H. Ge in SIAM Review, Volume 55, Number 3, September 2013, pages 569-574.
• Y.B. Fu and R.W. Ogden (editors). Nonlinear Elasticity: Theory and Applications. Cambridge University Press, Cambridge, UK, 2001. xi+525pp. London Mathematical Society Lecture Note Series. Volume 283. ISBN 0-521-79695-4.
  • Reviewed by D.A. Polignone Warne in SIAM Review, Volume 44, Number 3, September 2002, pages 505-509.
• G.R. Fulford and P. Broadbridge. Industrial Mathematics: Case studies in the diffusion of heat and matter. Cambridge Univeersity Press (Australian Mathematical Society Lecture Series 16), 2002, xii+202 pp, ISBN 0-521-00181-1.
  • Reviewed by S. Schiffer in Australian Mathematical Society Gazette Volume 30, Number 5, November 2003, pages 295-296.
BOTTOM. TOP. G
• N. Ghoussoub. Duality and Perturbation Methods in Critical Point Theory. Cambridge University Press, Cambridge, 1993, 258pp, ISBN 0-521-440254.
  • Reviewed by Jean Mawhin in SIAM Review, Volume 37, Number 2, June 1995, pages 265-266.
• B.H. Gilding and R. Kersner. Travelling Waves in Nonlinear Diffusion-Convection Reaction. Birkhäuser-Verlag, Basel, 2004. x+209pp., hardcover. Progress in Nonlinear Differential Equations. Volume 60. ISBN 3-7643-7071-8.
  • Reviewed by T.P. Witelski in SIAM Review 47, Number 2, June 2005, pages 400-401.
• P. Glendinning. Stability, instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations. Cambridge Texts in Applied Mathematics. Cambridge University Press, Cambridge 1994, ISBN 0-521-41553-5 (hardcover), 0-521-42566-2 (paperback).
  1. Reviewed by David Knapp in UK Nonlinear News 1 (June 1995).
  2. Reviewed by M. Grinfeld in Proceedings of the Edinburgh Mathematical Society, Volume 39 (Series II), Part 1 (February 1996), pages 190-191.
• M. Golubitsky and I. Stewart. The symmetry perspective: From equilbrium to chaos in phase space and physical space. Birkhäuser Verlag, Basel, Boston and Berlin, 2003, xvii+325pp., ISBN 3-7643-2171-7 (softcover), ISBN 3-7643-6609-5 (hardcover).
  • Reviewed by P. Ashwin in Bulletin (New Series) of the American Mathematical Society, Volume 42, Number 1, January 2005, pages 99-103.
• R. Gordon. The Hierarchical Genome and Differentiation Waves. World Scientific/Imperial College Press, 1999, Volume 1 (864pp), Volume 2 (971pp), ISBN 981-02-2268-8.
  • Reviewed by Andrew Yates in UK Nonlinear News 19 (February 2000).
• W. Govaerts. Numerical Methods for Bifurcations of Dynamical Equilibria. Society for Industrial and Applied Mathematics, 2000. ISBN 0-89871-442-7.
  • Reviewed by Kurt Lust in UK Nonlinear News 21, August 2000.
• J. Graczyk and G. Swiatek. The Real Fatou Conjecture. Princeton University Press, 1998, 148 pp, ISBN 0-691-00258-4.
  • Reviewed by O.S. Kozlovski in Bulletin of the London Mathematical Society, 32, Number 4, July 2000, pages 496-497.
• D. Gulick. Encounters with Chaos and Fractals, 2nd edition. Chapman and Hall/CRC Press, Boca Raton, 2012, xvi+371pp. ISBN 978-1-58488-517-7.
  • Reviewed by J. Nunemacher in The American Mathematical Monthly, 121, Number 4, April 2014, pages 373-376.
BOTTOM. TOP. H
• M. Haragusand G. Ioos. Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems. Springer, New York, 2011. xiv+325pp., hardcover. ISBN 978-0-85729-111-0
  • Reviewed by J. Guckenheimer in SIAM Review 53, Number 4, December 2011, page 811.
• M.W. Hirsch, S. Smale and R.L. Devaney. Differential Equations, Dynamical Systems, and an Introduction to Chaos (third edition). Academic Press, Waltham, MA., 2013. xiv+418pp., hardcover. ISBN 978-0-12-382010-5.
  • Reviewed by R.E. O'Malley Jr in SIAM Review 55, Number 2, June 2013, page 411.
• John Hogan, Alan Champneys, Bernd Krauskopf, Mario di Bernardo, Eddie Wilson, Hinke Osinga, and Martin Homer (editors). Nonlinear Dynamics and Chaos: Where do we go from here?. Institute of Physics. ISBN 0-7503-0862-1.
  • Reviewed by Jean-Luc Thiffeault in UK Nonlinear News 32 (May 2003).
• P. Holmes, J.L. Lumley, G. Berkooz and C.W. Rowley. Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Second Edition). Cambridge University Press, Cambridge, UK, 2002. xvi+386pp. ISBN 978-1-107-00825-0.
  • Reviewed by E. Gkioulekas in SIAM Review, Volume 55, Number 3, September 2013, pages 579-581.
• R.A. Holmgren. A First Course in Discrete Dynamical Systems. Springer-Verlag, New York, 1994, 214pp, ISBN 0-387-94208-4.
  • Reviewed by James T. Sandefur in SIAM Review, Volume 37, Number 1, March 1995, pages 137-138.
• F.C. Hoppensteadt. Analysis and Simulation of Chaotic Systems (second edition). Applied Mathematical Sciences Series Volume 94. Springer-Verlag. ISBN 0-387-98943-9.
  • Reviewed by Harvinder S. Sidhu in UK Nonlinear News 26 (November 2001).
• F.C. Hoppensteadt and C.S. Peskin. Modelling and Simulation in Medicine and the Life Sciences (2nd edition). Springer-Verlag, 2002, xiv +354 pp. ISBN 0-387-95072-9.
  1. Reviewed by G. Aldis in UK Nonlinear News 28 (May 2002).
  2. Reviewed by R.P. Araujo in Australian Mathematical Society Gazette Volume 30, Number 5, November 2003, pages 297-298.
• P-F. Hsieh and Y. Sibuya. Basic Theory of Ordinary Differential Equations. Springer-Verlag, New York, 1999. xii+468 pp, hardcover. ISBN 0-387-98699-5.
  • Reviewed by R. Schäfke and F. Verhulst (two reviews) in SIAM Review, Volume 43, Number 2, June 2001, pages 370-373.
• B.R. Hunt, J.A. Kennedy, T-Y Li and H.E. Nusse (editors). The theory of chaotic attractors. Springer-Verlag, New York, 2004, vi+514pp. ISBN 0-387-40349-3.
  • Reviewed by K.T. Alligood in Bulletin (New Series) of the American Mathematical Society, Volume 44, Number 2, April 2007, pages 317-321.
  BOTTOM. TOP. I
• K. Ikeda and K. Murota . Imperfect Bifurcation in Structures and Materials. Springer Verlag, 2002, ISBN 0-387-95409-0.
  • Reviewed by D. Wagg in UK Nonlinear News 30 (November 2002).
• E.M. Izhikevich. Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting. MIT Press, Cambridge. M.A, U.S.A., 2007. xvi+441pp. ISBN 978-0-262-09043-8.
  • Reviewed by J. Moehlis in SIAM Review, Volume 50, Number 2, June 2008, pages 397-401.
BOTTOM. TOP. J
• M.R. Jeffrey. Hidden Dynamics: The Mathematics of Switches, Decisions, and Other Discontinuous Behaviour. . Springer, Cham, 2018. xviii+521pp., hardcover. ISBN 978-3-030-02106-1.
  • Reviewed by C. Kuehn in SIAM Review 61, Number 3, September 2019, pages 634-636.
• R.S. Johnson. A Modern Introduction to the Mathematical Theory of Water Waves. Cambridge University Press, 1997, paperback. ISBN 0-521-59832-X.
  • Reviewed by J.D. Gibbon in UK Nonlinear News 16 (May 1999).
• D.S. Jones and B.D. Sleeman. Differential Equations and Mathematical Biology. Chapman & Hall/CRC, Boca Raton, FL, 2002. xii+390pp. ISBN 1-58488-296-4.
  • Reviewed by H.L. Smith in SIAM Review, Volume 46, Number 1, March 2004, pages 183-184.
• D.S. Jones, M.J. Plank and B.D. Sleeman. Differential Equations and Mathematical Biology. Second Edition. Chapman & Hall/CRC, Boca Raton, FL, 2010. xviii+444. ISBN 1-4200-8357-6.
  • Reviewed by R.E. O'Malley Jr in SIAM Review, Volume 52, Number 3, September 2010, pages 586-587.
• D.W. Jordan and P. Smith.
  1. Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems (third edition). Oxford University Press, Oxford, UK. 1999, x+550pp., softcover. ISBN 0-19-856562-3.
     • Reviewed by R. Haberman in SIAM Review, Volume 43, Number 1, March 2001, pages 199-202.
  2. Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers (fourth edition). Oxford University Press, Oxford, UK. 2007, vi+531pp., softcover. ISBN 0-19-920825-8.
     • Reviewed by R.E. O'Malley Jnr in SIAM Review, Volume 50, Number 3, September 2008, pages 620-621.
  3. Nonlinear Ordinary Differential Equations: Problems and Solutions. A Source-book for Scientists and Engineers. Oxford University Press, Oxford, UK. 2007, vi+587pp., softcover. ISBN 978-0-19-921203-3.
     • Reviewed by R.E. O'Malley Jnr in SIAM Review, Volume 50, Number 3, September 2008, pages 620-621.
BOTTOM. TOP. K
• K. Kaneko and I. Tsuda. Complex Systems: Chaos and Beyond. Springer-Verlag, New York, 1999. xiii+273pp., hardcover. ISBN 3-540-67202-8.
  • Reviewed by R.V. Solé in SIAM Review 43, Number 4, December 2001, pages 738-740.
• T. Kapitula and K. Promislow. Spectral and Dynamical Stability of Nonlinear Waves. Springer, New York, 2013. xiv+361pp, hardcover. ISBN 978-1-4614-6994-0.
  • Reviewed by A. Scheel in SIAM Review 56, Number 3, September 2014, pages 549-553.
• R. Kasier and J. Montaldi (editors). Peyresq Lectures on Nonlinear Phenomena. World Scientific Press. 300 pages. Hardcover. ISBN: 9810243154.
  • Reviewed by J.S.W. Lamb in UK Nonlinear News 25, August 2001.
• L.P. Kadanoff. Form order to Chaos II. Essays: Critical, Chaotic and Otherwise. World Scientific, 768 pages, ISBN: 9810234333 (paperback 9810234341).
  • Reviewed by C. Beck in UK Nonlinear News 22 (November 2000).
• H. Kantz and T. Schreiber. Nonlinear Time Series Analysis. Cambridge University Press.
  • Reviewed by Jaroslav Stark in UK Nonlinear News 13 (August 1998).
• T. Kapitaniak. CHAOS for Engineers: Theory, Applications, and Control. Springer-Verlag, Berlin-Heidelberg, 1998.
  • Reviewed by Thomas Schreiber in UK Nonlinear News 18 (November 1999).
• T. Kapitaniak and S.R. Bishop. The Illustrated Dictionary of Nonlinear Dynamics and Chaos. John Wiley and Sons, 1999, 280pp, ISBN 0471983233.
  • Reviewed by Ulrike Feudel in UK Nonlinear News 19 (February 2000).
• A. Katok and B. Hasselblatt. Introduction to the modern theory of dynamical systems. Encyclopedia of Mathematics and its Applications, volume 54, Cambridge University Press, 1995, xviii+802pp, ISBN 0-521-34187-6.
  1. Reviewed by Richard Swanon in SIAM Review, Volume 38, Number 1, March 1996, pages 180-181.
  2. Reviewed by Floris Takens in Bulletin (New Series) of the American Mathematical Society, Volume 33, Number 4, October 1996, pages 519-522.
  3. Reviewed by R.S. MacKay in Bulletin of the London Mathematical Society, Volume 29, Number 1, January 1997, pages 124-126.
  4. Reviewed by Lennaert van Veen in Nonlinear Science Today. (Review posted 23rd September 1997)
  5. Reviewed by Robert L. Devaney in The Mathematical Intelligencer, 20(1), 1998, 77-78.
• A. Katok and J-M. Strelcyn. Invariant Manifolds; Entropy and Billiards; Smooth Maps with Singularities. Springer-Verlag, 1986, ISBN 0-387-17190-8.
  • Reviewed by Ya. B. Pesin in The Mathematical Intelligencer, 18(3), 1996, 74-75.
• J. Keener and J. Sneyd. Mathematical Physiology. Springer-Verlag, New York, 1998. xx+766 pp., hardcover. ISBN 0-387-98381-3.
  1. Reviewed by J. Stark in UK Nonlinear News 22 (November 2000).
  2. Reviewed by H. Qian in SIAM Review, Volume 46, Number 3, September 2004, pages 587-590.
• C.T. Kelley. Solving Nonlinear Equations with Newton's Method. SIAM, Philadelphia, USA, 2003. xiv+104pp., softcover. ISBN 0-89871-546-6.
  • Reviewed by D.S. Watkins in SIAM Review 46, Number 4, December 2004, pages 770-771.
• P.G. Kevrekidis, D.J. Frantzeskakis, and R. Carretero-Gonzáles. The Defocussing Nonlinear Schrödinger Equation: Fom Dark Solitons to Vortices and Vortex Rings. SIAM, Philadelphia, USA, 2015. xii+429pp., softcover. ISBN 978-1-61197-393-8.
  • Reviewed by M. Maris in SIAM Review 59, Number 4, December 2017, pages 926-927.
• H. Kielhöfer. Bifurcation Theory: An Introduction with Applications to PDEs. Springer-Verlag, New York, 2004. viii+346pp., hardcover. ISBN 0-387-40401-5.
  • Reviewed by Y.A. Kuznetsov in SIAM Review 47, Number 1, March 2005, pages 176-178.
• A.C. King, J. Billingham and S.R. Otto. Differential Equations: Linear, Nonlinear, Ordinary, Partial. Cambridge University Press, Cambridge, UK, 2003. xii+451pp., hardcover. ISBN 0-521-01687-8.
  • Reviewed by R. E.O.'Malley Jnr in SIAM Review 46, Number 3, September 2004, pages 587.
• B.P. Kitchens. Symbolic Dynamics: one-sided, two-sided and countable Markov shifts. Springer-Verlag, 1998, ISBN 3-540-52738-3.
  1. Reviewed by Rua. Murray in UK Nonlinear News 16 (May 1999).
  2. Reviewed by M. Keane in Bulletin of the London Mathematical Society Volume 32, Number 1, January 2000, page 115.
• V.L. Kocic and G. Ladas. Global Behaviour of Nonlinear Difference Equations of Higher Order with Applications. Mathematics and its Applications 256, Kluwer, Dordrecht, the Netherlands, 1993, 228 pp, ISBN 0-7923-2286-X.
  1. Reviewed by Robert May in Bulletin of the London Mathematical Society, Volume 27, 1995, pages 616-617.
  2. Reviewed by Ravi P. Agarwal in SIAM Review, Volume 37, Number 1, March 1995, pages 114-115.
• V. Kolmanovskii and A. Myshkis. Applied Theory of Functional Differential Equations. Kluwer, 1992, ISBN 0-7923-2013-1.
  • Reviewed by V. Hutson in Bulletin of the London Mathematical Society, 27, 1995, pages 194-195.
• B.G. Konopelchenko. Introduction to Multidimensional Integrable Equations. Plenum Press, New York, 1992, 292pp, ISBN 0-306-44220-5.
  • Reviewed by J.D. Gibbon in SIAM Review, Volume 37, Number 2, June 1995, pages 257-258.
• M. Kot. Elements of Mathematical Ecology. Cambridge University Press, Cambridge, UK, 2001. ix+453pp., softcover. ISBN 0-521-00150-1.
  • Reviewed by C.W. Clark in SIAM Review 44, Number 2, June 2002, page 281.
• V.V. Kozlov. Symmetries, Topology and Resonances in Hamiltonian Mechanics. Springer, 1996, 378 pp, ISBN 3-540-57039-X.
  • Reviewed by H.H. Rugh in Bulletin of the London Mathematical Society, 31, Number 3, May 1999, pages 371-372.
• V.V. Kozlov and D.V. Treschev. Billiards, A Generic Introduction to the Dynamics of Systems with Impacts. American Mathematical Society, Translations of Mathematical Monographs Number 89, 1991, ISBN 0-8218-4550-0.
  • Reviewed by Ya. B. Pesin in The Mathematical Intelligencer, 8(3), 1996, 74-75.
• A.M. Krasnosel'skii. Asymptotics of Nonlinearities and Operator Equations. Birkhäuser, Basel, 1995, viii+278pp, ISBN 3-7643-5175-6, Operator Theory Advances and Applications Volume 76.
  • Reviewed by Jean Mawhin in SIAM Review, Volume 38, Number 3, September 1996, pages 533-535.
• W. Krawcewicz and J. Wu. Theory of Degrees with Applications to Bifurcations and Differential Equations. John Wiley & Sons, 1997, ISBN 0-471-15740-6.
  • Reviewed by J. Webb in Bulletin of the London Mathematical Society, 31, Number 6, November 1999, pages 756-758.
• A. Kulikovskii and E. Sveshnikova. Nonlinear Waves in Elastic Media. CRC Press Inc., Boca Raton, Florida, 1995, 237pp, ISBN 0-8493-8643-8.
  • Reviewed by Michael Renardy in SIAM Review, Volume 39, Number 2, June 1997, page 358.
• Yu. A. Kuznetsov. Elements of Applied Bifurcation Theory. Applied Mathematical Sciences Volume 112, Springer-Verlag, Berlin and New York, 1995, xv+515pp, ISBN 0-387-94418-4.
  1. Reviewed by Alan Champneys in UK Nonlinear News 2 (September 1995).
  2. Reviewed by David K. Arrowsmith in Bulletin (New Series) of the American Mathematical Society Volume 33, Number 3, July 1996, pages 377-380.
  3. Reviewed by Eusebius Doedel in Nonlinear Science Today. (Review posted April 10 1997).
  4. 2nd edition reviewed by Alan Champneys in UK Nonlinear News 16 (May 1999).
  5. 2nd edition reviewed by Harvinder Sidhu in UK Nonlinear News 17 (August 1999).
BOTTOM. TOP. L
• V. Lakshmikantham and S.G. Deo. Method of Variation of Parameters for Dynamic Systems. Gordon and Breach Science Publishers, New York, 1998. viii+317pp, hardcover. ISBN 90-5699-160-4.
  • Reviewed by Y. Kuang in SIAM Review, Volume 42, Number 4, December 2000, page 753.
• A. Lasota and M.C. Mackey. Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics. Springer, 1994.
  • Reviewed by Jaroslav Stark in UK Nonlinear News 12 (May 1998).
• V.F. Lazutkin. KAM Theory and Semi Classical Approximations to Eigenfunctions. Modern Surveys in Mathematics 24, Springer, 1993, 387pp, ISBN 3-540-53389-3.
  • Reviewed by Yu Safarov in Bulletin of the London Mathematical Society, Volume 27, 1995, pages 620-621.
• G.A. Leonov, I.M. Burkin and A.I. Shepeljavji. Frequency Methods in Oscillation Theory. Kluwer Academic Publishers, Dordrecht/Boston/London, 1996, 403pp, ISBN 0-7923-3896-0.
  • Reviewed by Ferdinand Verhuist in Nonlinear Science Today. (Review posted 30th July 1997).

• A. Libai and J.G. Simmonds. The Nonlinear Theory of Elastic Shells. Second Edition. Cambridge University Press, Cambridge, UK, 1998. xvi+542pp., softcover. ISBN 0-521-47236-9.
  • Reviewed by F.Y.M. Wan in SIAM Review 43, Number 4, December 2001, pages 744-47.
• D. Lind and Brian Marcus. An Introduction to Symbolic Dynamics and Coding. Cambridge University Press, Cambridge, UK, 1995. xvi + 495pp, ISBN 0-521-55900-6.
  • Reviewed by Mike Boyle in SIAM Review, Volume 39, Number 2, June 1997, pages 334-335.
• J.D. Logan. An Introduction to Nonlinear Partial Differential Equations. Wiley, New York, 1994, 400pp, ISBN 0-471-59916-6.
  • Reviewed by Karen Amies in SIAM Review, Volume 37, Number 2, June 1995, pages 251-252.
• E.N. Lorenz. The Essence of Chaos. University of Washington Press, Seattle, 1993, 227 pages, ISBN 0-295-97270-X.
  • Reviewed by Philip Holmes in SIAM Review, Volume 37, Number 1, March 1995, pages 129-131.
• S. Lynch. Dynamical Systems with Applications to Maple. Birkhauser, Boston, 2000. xiv+398pp., softcover. ISBN 0-8176-4150-5
  1. Reviewed by J.D. Meiss in UK Nonlinear News 26 (November 2001).
  2. Reviewed by K.R. Knaub in SIAM Review, Volume 46, Number 3, September 2004, pages 575-577.
BOTTOM. TOP. M
• P.K. Maini and H.G. Othmer (editors). Mathematical Models for Biological Pattern Formation. Springer-Verlag, New York, 2000. x+317pp., hardcover. ISBN 0-387-95103-2.
  • Reviewed by L. Segel in SIAM Review 43, Number 4, December 2001, pages 737-38.
• M. Malisoff and F. Mazenc. Construction of Strict Lyapunov Functions. Springer, London, 2009. xvi +386pp., hardcover. ISBN 978-1-84882-534-5.
  • Reviewed by Z. Artstein in SIAM Review, Volume 53, Number 1, March 2011, pages 178-179.
• G.I. Marchuk. Mathematical Modelling of Immune Response in Infectious Diseases. Kluwer Academic Publishers, Dordrecht, The Netherlands, 1997. x+347pp. ISBN 0-7923-4528-2.
  • Reviewed by Lee A. Segel in SIAM Review, Volume 40, Number 4, December 1998, pages 1014-1015.
• M. Marek and I. Schreiber. Chaotic Behaviour of Deterministic Dissipative Systems. Cambridge University Press, New York, 1995, x+367pp, ISBN 0-521-43830-6.
  • Reviewed by Edward Ott in SIAM Review, Volume 38, Number 4, December 1996, pages 695-696.
• S. Marmi, J-C Yoccoz (editors) Dynamical Systems and Small Divisors. Springer, 2002. Softcover, vii+198 pages. ISBN 3-540-43726-6.
  • Reviewed by Rafael de la Llave in UK Nonlinear News 31 (March 2003).
• M. Martelli. Introduction to discrete dynamical systems and chaos. Wiley-Interscience series in discrete mathematics and optimization, 1999. ISBN: 0-471-31975-9.
  • Reviewed by J. Lamb in UK Nonlinear News 23 (February 2001).
• A.A. Martynuk. Stability by Liapunov's Matrix Function Method with Applications. Marcel Dekker, New York, 1998. X+276pp, hardcover. Pure and Applied Mathematics. Volume 124. ISBN 0-8247-0191-7.
  • Reviewed by Sue Ann Campbell in SIAM Review, Volume 41(4), December 1999, pages 829-830.
• A.A. Martynuk and Yu A. Martynuk-Chernienko. Uncertain Dynamical Systems. Stability and Motion Control. CRC Press, Boca Raton, FL, 2012. xiv+296pp, hardcover. ISBN 978-1-4398-7685-5.
  • Reviewed by Martin Bohner in SIAM Review, Volume 56(1), March 2014, pages 191-193.
• V.P. Maslow. The Complex WKB Method for Nonlinear Equations 1: Linear Theory. Translated from the Russian by M.A. Shishkova and A.B. Sosinsky. Birkhäuser-Verlag, Basael, 1994, vii+300pp, ISBN 3-7643-5088-1.
  • Reviewed by Evans M. Harrell, II in SIAM Review, Volume 38, Number 1, March 1996, pages 168-171.
• C.T. McMullen. Complex Dynamics and Renormalisation. Annuals of Mathematical Studies 135. Princeton University Press, 1995, ISBN 0-691-02981-4.
  1. Reviewed by Shaun Bullett in Bulletin of the London Mathematical Society, Volume 29, Number 2, March 1997, pages 248-250.
  2. Reviewed by Mikhail Lyubich in Bulletin (New Series) of the American Mathematical Society, Volume 36, Number 1, January 1999, pages 103-107.

• P. Meakin. Fractals, scaling and growth far from equilibrium. Cambridge University Press, 1998, ISBN 0-521-45253-8.
  • Reviewed by Miroslav M. Novak in UK Nonlinear News, 15, February 1999.
• Z. Mei. Numerical Bifurcation for Reactions-Diffusion Equations. Springer-Verlag, 2000, viii + 414 pp. ISBN 3-540-67296-6.
  1. Reviewed by W.C. Rheinboldt in SIAM Review, Volume 43, Number 2, June 2001, pages 400-401.
  2. Reviewed by W.P. Wood in Australian Mathematical Gazette 28(3), 159-160, August 2001.
• J.D. Meiss. Differential Dynamical Systems. SIAM, Philadelphia, USA, 2007. xxii+412. ISBN 978-0-898716-35-1
  • Reviewed by J. Guckenheimer in SIAM Review, Volume 52, Number 1, March 2010, pages 191-193.
• W. de Melo and S. van Strien. One-dimensional Dynamics. Springer-Verlag, New York, 1993, xiii+605pp, ISBN 3-540-56412-8.
  1. Reviewed by K.M. Brucks in SIAM Review, Volume 37, Number 3, September 1995, pages 461-462.
  2. Reviewed by D.A. Rand in Bulletin of the London Mathematical Society, Volume 28, Part 1, January 1996, pages 104-106.
• E. Meron. Nonlinear Physics of Ecosystems. CRC Press, Boca Raton, FL, 2015. xiv+344pp. ISBN 978-1-4398-2631-7.
  • Reviewed by D.L. DeAngelis in SIAM Review, Volume 48, Number 3, September 2016, pages 585-586.
• K.R. Meyer. Periodic Solutions of the N-Body Problem. Springer-Verlag, Berlin, Heidelberg, 1999. ix+144pp. ISBN 3-540-66630-3
  • Reviewed by R. Easton in SIAM Review, Volume 44, Number 3, September 2002, pages 486-487.
• A.N. Michel and K. Wang. Qualitative Theory of Dynamical Systems: The Role of Stability Mappings. Marcel Dekker, Inc., New York, 1995, 450pp, ISBN 0-8247-9420-6.
  • Reviewed by V. Lakshmikantham in SIAM Review, Volume 39, Number 3, September 1997, pages 540-541.
• R.E. Mickens. Oscillations in Planar Dynamic Systems. World Scientific, Singapore, 1996, xii+319pp. ISBN 981-02-2292-0.
  • Reviewed by Mark Levi in SIAM Review, Volume 40, Number 1, March 1998, pages 162-163.
• J. Milnor. Dynamics in one complex variable, Introductory lectures. 2nd edition, Vieweg Verlag, Weisbaden, 2000, vii+257pp., ISBN 3-528-13130-6.
  • Reviewed by J. Hubbard in Bulletin (New Series) of the American Mathematical Society, Volume 38, Number 4, October 2001, pages 495-498.
• C. Misbah. Complex Dynamics and Morphogenesis: An Introduction to Nonlinear Sciences. Springer, Cham, 2017. xx+463 pp. ISBN 978-94-024-1018-1.
  • Reviewed by B. Ermentrout in SIAM Review, Volume 60, Number 1, March 2018, pages 213-215.
• J. Moser. Stable and Random Motions in Dynamical Systems. Princeton University Press. 210 pages. Hardcover. ISBN: 0691089108.
  • Reviewed by S. Reich in UK Nonlinear News 25, August 2001.
• E. Mosekilde, Y. Maistrenko and D. Postnov. Chaotic Synchronization: Applications to Living Systems. World Scientific, River Edge, NJ, USA, 2002. xii+428 pp. ISBN 981-02-4789-3.
  • Reviewed by R.H. Rand in SIAM Review, Volume 45, Number 3, September 2003, pages 617-618.
• J. Müller, and C. Kuttler. Methods and Models in Mathematical Biology. Springer, Heidelberg, 2015. xiv+709 pp. ISBN 978-3-642-27250-9.
  • Reviewed by Z.P. Kilpatrick in SIAM Review, Volume 59, Number 1, March 2017, pages 211-214.
• J. Murdock. Normal Forms and Unfoldings for Local Dynamical Systems. Springer Monographs in Mathematics, Springer-Verlag, New York, 2003. xx+494 pp., hardcover. ISBN 0-387-95464-3.
  1. Reviewed by M. Groves in UK Nonlinear News 35 (February 2004).
  2. Reviewed by K. Josic in SIAM Review, Volume 46, Number 4, December 2004, pages 751-752.
• J.D. Murray. Mathematical Biology I: An Introduction. Third Edition. Springer-Verlag, New York, 2002. xxiv+551 pp. ISBN 0-387-95223-3.

  Mathematical Biology II: Spatial Models and Biomedical Applications. Third Edition. Springer-Verlag, New York, 2003. xxvi+811 pp. ISBN 0-387-95228-4.

  • Reviewed by L. Edelstein-Keshet in SIAM Review, Volume 46, Number 1, March 2004, pages 143-147.
BOTTOM. TOP. N
• H. Nagashima and Y. Baba. Introduction to Chaos. Translated by M. Nakahara. Institute of Physics Publishing, Bristol, UK, 1999, viii+160pp, softcover. ISBN 0-7503-0508-8.
  1. Reviewed by Cliburn Chan in UK Nonlinear News 17 (August 1999).
  2. Reviewed by M. Neubert and M. Fujiwara in SIAM Review, Volume 42, Number 4, December 2000, pages 756-758.
• P.I. Naumkin and I.A. Shishmarev. Nonlinear nonlocal equations in the theory of waves (Translations of Mathematical Monographs, volume 133). American Mathematical Society, Providence, RI, 1994, x+289pp, ISBN 0-8218-4753-X.
  • Reviewed by John P. Albert in Bulletin (New Series) of the American Mathematical Society, Volume 34, Number 1, January 1997, pages 95-100.
• A.H. Nayfeh and B. Balachandran. Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods. Wiley, New York, 1995, xv+685pp, ISBN 0-471-95348-6.
  • Reviewed by R.H. Rand in SIAM Review, Volume 38, Number 2, June 1996, pages 350-352.

• J. Neu. Singular perturbation in the physical sciences. Graduate Studies in Mathematics, Volume 167, American Mathematical Society, 2015. xiv+326 pages. ISBN 978-1-4704-2555-5.
  • Reviewed by Jacob Rubinstein in Bulletin (New Series) of the American Mathematical Society 55, Number 1, January 2018, pages 123-129.
• P. Newton, P. Holmes and A. Weinstein. Geometry, Mechanics and Dynamics: Volume in Honor of the 60th Birthday of J. E. Marsden. Springer, 2002. Hardback, xvii+571 pages. ISBN 0-387-95518-6.
  • Reviewed by Darryl Holm in UK Nonlinear News 31 (March 2003).
• G. Nicolis. Introduction to Nonlinear Science. Cambridge University Press, 1995, 254pp.
  • Reviewed by David Chillingworth in Nonlinear Science Today. (Review posted March 19 1996)
• K. Nipp and D. Stoffer. Invariant Manifolds in Discrete and Dynamical Systems. European Mathematical Society, Zurich, 2013. x+216pp., hardcover. ISBN 978-3-03719-124-8.
  • Reviewed by Robert E. O'Malley Jr in SIAM Review 56(2), page 379, 2014.
• M.A. Nowak and R.M. May. Virus Dynamics: Mathematical Principles of Immunology and Virology. Oxford University Press, Oxford, 2000. 249 pages. Hardback, ISBN 0-19-850418-7. Paperback, ISBN 0-19-850417-9.
  • Reviewed by C. Chan in UK Nonlinear News 24, May 2001.
  • Reviewed by D. Wilson in The Australian Mathematical Gazette, Volume 28, Number 4, September 2001, pages 219-220.
BOTTOM. TOP. O
• A. Okubo and S.A. Levin. Diffusion and Ecological Problems - Modern Perspectives. Second edition. Springer-Verlag, New York, 2001. Hardcover. ISBN 0-387-98676-6.
  1. Reviewed by J. Brindley in UK Nonlinear News 31 (March 2003).
  2. Reviewed by M. Lewis in SIAM Review, Volume 45 Number 1, March 2003, pages 127-128.
• L.A. Ostrovsky and A.I. Potapov. Modulated Waves: Theory and Practice. John Hopkins University Press, Baltimore, MD, USA, 1999. xv+369pp, hardcover. ISBN 0-8018-5870-4.
  1. Reviewed by John Boyd in SIAM Review, Volume 42(2), June 2000, pages 342-343.
  2. Reviewed by G. Rowlands in UK Nonlinear News 21, August 2000.
• E.Ott, T. Sauer and J.A. Yorke. Coping with Chaos.
  • Reviewed by Jaroslav Stark in UK Nonlinear News 13 (August 1998).
BOTTOM. TOP.
P
• J. Palis and F. Takens. Hyperbolicity & Sensitive Chaotic Dynamics at Homoclinic Bifurcations. Cambridge Press, New York, 1995, x+234pp, ISBN 0-521-47572-4.
  • Reviewed by Roger L. Kraft in SIAM Review, Volume 38, Number 2, June 1996, pages 348-349.
• J.G. Papastavridis. Analytical mechanics: A comprehensive treatise on the dynamics of constrained systems; for engineers, physcists and mathematicians. Oxford University Press, 2002, xxii+1392 pp. ISBN 0-19-512697-1.
  • Reviewd by J. Koiller in Bulletin (New Series) of the American Mathematical Society, Volume 40, Number 3, July 2003, pages 405-419.
• J. Peng, C. Roos and T. Terlaky. Self-Regularity: a new paradigm for primal-dual interior-point algorithms. Princeton University Press.
  • Reviewed by G. Moore in UK Nonlinear News 34 (November 2003).
• L. Perko. Differential Equations and Dynamical Systems (third edition). Springer-Verlag, Texts in Applied Mathematics Volume 7, 2001. 554 pages. Hardcover. ISBN: 0-387-95116-4.
  • Reviewed by J. Sexton in UK Nonlinear News 25, August 2001.
• Y.B. Pesin. Dimension Theory in Dynamical Systems: Contemporary View and Applications. University of Chicago Press, Chicago, Il, USA, 1997. xi+304pp., softcover. ISBN 0-226-66222-5.
  • Reviewed by Boris Hasselblatt in SIAM Review, Volume 41, Number 3, September 1999, pages 615-617.
• W.V. Petryshyn.
  1. Approximation-Solvability of Nonlinear Functional and Differential Equations. Marcel Dekker, 1993, 392pp, ISBN 0-8247-8793-5.
     • Reviewed by J.R.L. Webb in Bulletin of the London Mathematical Society, 27, 1995, pages 294-295.
  2. Generalised topological degree and semilinear equations. Cambridge Tracts in Mathematics, volume 117, Cambridge University Press, Cambridge, 1995, x+240pp, ISBN 0-521-44474-8.
     • Reviewed by Jean Mawhin in Bulletin (New Series) of the American Mathematical Society, Volume 34, Number 2, April 1997, pages 197-201.

• F. Pfeiffer and C. Glocker. Multibody Dynamics with Unilateral Contacts. John Wiley, ISBN 0-471-15565-9.
  • Reviewed by Hans Troger in Nonlinear Sciences Today. (Review posted November 26 1997).
• M. Pollicott and M. Yuri. Dynamical Systems and Ergodic Theory. Cambridge University Press. Paperback ISBN: 0 521 57599 0. Hardback ISBN: 0 521 57294 0.
  • Reviewed by Jaroslav Stark in UK Nonlinear News, 15, February 1999.
• P. Prasad. Nonlinear Hyperbolic Waves in Multi-Dimension. Chapman & Hall/CRC Press, Boca Raton, FL, USA, 2001. xvi+338 pp., softcover. ISBN 1-58488-072-4.
  • Reviewed by R. Young in SIAM Review, Volume 45, Number 1, March 2003, pages 162-164.
• T. Puu. Attractors, bifurcations and chaos: nonlinear phenomena in economics. Springer-Verlag, Berlin and Heidelberg, 2000.
  • Reviewed by Alan Wilson in UK Nonlinear News, 21, August 2000.
BOTTOM. TOP. R
• M.I. Rabinovich, A.B. Ezersky and P.D. Weidman. The Dynamics of Patterns . World Scientific, 2001. ISBN 9810240554 (Hardback). ISBN 9810240562 £33 (Paperback).
  • Reviewed by R. Hoyle in UK Nonlinear News 27 (February 2002).
• L. Rass and J. Radcliffe. Spatial deterministic epidemics. Mathematical Surveys and Monographs, volume 102, American Mathematical Society, Providence, RI, USA, 2003. x+261pp. ISBN 0-8218-0499-5.
  • Reviewed by O. Diekmann in Bulletin (New Series) of the American Mathematical Society, Volume 42(4), October 2005, 521-527.
• M. Remoissenet. Waves Called Solitons: Concepts and Experiments (third edition). Springer-Verlag, 1999. xix+327pp, hardcover. ISBN 3-540-65919-6.
  • Reviewed by A. Scott in SIAM Review, Volume 43, Number 1, March 2001, pages 223-225.
• C.E. Roberts Jnr. Ordinary Differential Equations: Applications, Models and Computing CRC Press, 2010. xxii+584pp, hardcover. ISBN 978-1-4398-1908-1.
  • Reviewed by R.E. O'Malley Jr in SIAM Review, Volume 52, Number 4, December 2010, pages 781-782.
• C. Robinson. Dynamical Systems: Stability, Dynamics, and Chaos. CRC Press, Boca Raton, 1994, 468pp, ISBN 0-8493-8493-1.
  1. Reviewed by Russell Walker in SIAM Review, Volume 37, Number 4, December 1995, pages 639-640.
  2. Reviewed by David Chillingworth in Bulletin of the London Mathematical Society, 30, Part 2, March 1998, 216-218.
• V.G. Romanovski and D.S. Shafer. The Center and Cyclicity Problems. Birkhäuser Boston, Boston, 2099. xvi+330pp., softcover. ISBN 978-0-8176-4726-1.
  • Reviewed by C. Rousseau in SIAM Review 53, Number 2, June 2011, pages 402-405.
• S. Ruan, G.S.K. Wolkowicz and J. Wu. Dynamical Systems and Their Applications in Biology. American Mathematical Society, Providence, RI, 2003/ viii+268pp. ISBN 0-8218-3163-1.
  • Reviewed by Y. Kuang in SIAM Review, Volume 46, Number 1, March 2004, pages 174-175.
BOTTOM. TOP. S
• A.A. Samarski, V.A. Galaktinonov, S.P. Kurdyumov, and A.P. Mikhailov. Blow-up in quasilinear parabolic equations. volume 19, Walter de Gruyter Expositions in Mathematics, Walter de Gruyter, Berlin and Hawthorne, NY, 1995, xxi+535pp, ISBN 3-11-012754-7.
  1. Reviewed by Nick Alikakos in Bulletin (New Series) of the American Mathematical Society, Volume 33, Number 4, October 1996, pages 483-486.
  2. Reviewed by Howard Levine in SIAM Review, Volume 38, Number 4, December 1996, pages 692-694.
• R.M. Samelson and S. Wiggins. Lagrangian Transport in Geophysical Jets and Waves: The Dynamical Systems Approach. Springer-Verlag, New York, 2006. x+147pp., hardcover. ISBN 978-0387-33269-7.
  • Reviewed by L. Pratt in SIAM Review, Volume 49, Number 4, December 2008, pages 716-717.
• J.A. Sanders, F. Verhulst and J. Murdock. Averaging Methods in Nonlinear Dynamical Systems. Second Edition. . Springer-Verlag, New York, 2007. xxii+431., hardcover. ISBN 978-0-387-48916-2.
  • Reviewed by R.E. O'Malley Jr in SIAM Review, Volume 51, Number 1, March 2009, pages 233-234.
• S. Sastry. Nonlinear Systems Analysis, Stability, and Control. Springer-Verlag, New York, 1999, ISBN 0387985131.
  • Reviewed by Thomas Schreiber in UK Nonlinear News 19 (February 2000).
• M. Schechter. An Introduction to Nonlinear Analysis. Cambridge University Press, Cambridge, UK, 2005. xviii+357pp., hardcover. ISBN 0-521-84397-9.
  • Reviewed by E.N. Dancer in SIAM Review, Volume 48(1), March 2006, page 160.
• K. Schmidt. Dynamical Systems of Algebraic Origin. Birkhauser-Verlag, Basel, Switzerland, 1995, xviii+310pp, ISBN 3-7643-5174-8.
  1. Reviewed by Leon W. Green in SIAM Review, Volume 39, Number 1 (March 1997), pages 146-148.
  2. Reviewed by Thomas Ward in Bulletin of the London Mathematical Society, Volume 29, Number 4, July 1997, pages 502-504.
• H.G. Schuster. Complex Adaptive Systems. Scator Verlag, 2001.
  • Reviewed by R. Weber in UK Nonlinear News 29 (August 2002).
• A. Scott (editor). Encyclopedia of Nonlinear Science. Routledge, New York, 2004. xliv+1053pp., hardcover. ISBN 1-57958-385-7.
  • Reviewed by M. Kot in SIAM Review, Volume 48(1), March 2006, pages 149-151.
• A. Scott, M.P. Sorensen (contributor) and P.L. Christiansen (contributor). Nonlinear Science: Emergence and Dynamics of Coherent Structures. Oxford University Press, Oxford, UK, 1999. xvii+474pp, hardcover. Oxford Applied and Engineering Mathematics. Volume 1. ISBN 0-1985-0107-2.
  • Reviewed by R.S. MacKay in SIAM Review, Volume 42(2), June 2000, pages 352-354.
• G.R. Sell and Y. You. Dynamics of Evolutionary Equations. Springer-Verlag, New York, 2002. xiii+670 pp. ISBN 0-387-98347-3.
  • Reviewed by W.E. Fitzgibbon in SIAM Review, Volume 45, Number 3, September 2003, pages 602-606.
• R. Seydel. Practical Bifurcation and Stability Analysis: From Equilibrium to Chaos (2nd edition). Interdisciplinary Applied Mathematics, Volume 5, Springer-Verlag, Berlin-Heidelberg-New York-London-Paris-Tokyo-Hong Kong, 1994, xv+407pp, ISBN 3-540-94316-1.
  • Reviewed by D.F. McGhee in Proceedings of the Edinburgh Mathematical Society, Volume 39 (Series II), Part 2 (June 1996), pages 405-406.
• A.N. Sharkovsky, S.F. Kolyada, A.G. Sivak, and V.V. Fedorenko. Dynamics of One-Dimensional Maps. Kluwer Academic Publishers, Dordrecht/Boston/London, 1997, 261+ix pp, ISBN 0-7923-4532-0.
  • Reviewed by Helena E. Nusse in Nonlinear Science Today. (Review Posted May 20, 1998)
• A.N. Sharkovsky, Yu. L. Maistrenko, and E. Yu. Romanenko. Difference Equations and their Applications. Kluwer, 1994, 358pp, ISBN 0-7923-2194-4.
  • Reviewed by Jaroslav Stark in Bulletin of the London Mathematical Society, 27, 1995, pages 295-296.
• Ya. G. Sinai (editor). Dynamical Systems, Ergodic Theory and Applications (2nd edition). Encyclopedia of Mathematical Sciences, Vol 100, Springer, 2000, 459 pages, ISBN 3-540-66316-9.
  • Reviewed by Stefano Luzzatto in UK Nonlinear News 22 (November 2000).
• H.L. Smith. Monotone dynamical systems: An introduction to the theory of competitive and cooperative systems. Mathematical Surveys and Monographs, volume 41, American. Math. Soc., Providence, RI, 1995, x+174pp, ISBN 0-8218-0393-X.
  1. Reviewed by Chris Cosner in Bulletin (New Series) of the American Mathematical Society, Volume 33, Number 33, April 1996, pages 203-209.
  2. Reviewed by David Knapp in UK Nonlinear News 7, January 1997.
• R. Smith?. Modeling Disease Ecology with Mathematics (second edition). American Institute of Mathematical Sciences, Springfield, MO, 2017. 291pp., hardcover. ISBN 978-1-60133-020-8.
  • Reviewed by C. Bauch in SIAM Review, Volume 61, Number 2, June 2019, pages 390-392.
• J. Sneyd (editor). An Introduction to Mathematical Modelling in Physiology, Cell Biology, and Immunology. American Mathematical Society, Providence, RI, 2002. xii+177pp. ISBN 0-8218-2816-9.
  • Reviewed by M.K.S. Yeung in SIAM Review, Volume 45, Number 3, September 2003, pages 621-624.
• D. Sornette. Critical Phenomena in Natural Sciences (Chaos, Fractals, Selforganization and Disorder: Concepts and Tools). Springer-Verlag, 2000, 434 pages, ISBN: 3-540-67462-4.
  • Reviewed by Rodney Weber in UK Nonlinear News 24, May 2001.
• H.G. Solari, M.A. Natiello, and G.B. Mindlin. Nonlinear Dynamics: a Two-Way Trip from Physics to Math. Institute of Physics Publishing, Bristol, UK, 1996, xviii+347pp, ISBN 0-7503-0380-8.
  1. Reviewed by Jerry Huke in UK Nonlinear News 9 (August 1997).
  2. Reviewed by G.H.M. van der Heijden in Nonlinear Science Today. (Review posted July 30 1997)
  3. Reviewed by Timothy Sauer in SIAM Review, Volume 40, Number 3, September 1998, pages 751-752.
• J-M. Souriau. Structure of Dynamical Systems: A Symplectic View of Physics. Translated from the French by C.H. Cushman-de Vries. Edited by C.H. Cushman-de Vries and G.M. Tuynman. Birkhäuser, Boston, 1997. xxiv+403pp., ISBN 0-8176-3695-1 and 3-7643-3695-1.
  1. Reviewed by Mark Roberts in UK Nonlinear News 14 (November 1998).
  2. Reviewed by Ivaïo M. Mladenov in SIAM Review, Volume 41, Number 3, September 1999, pages 621-622.
• N. Steinmetz. Rational iteration: complex analytic dynamical systems. de Gruyter Studies in Mathematics Volume 16, de Gruyter, Berlin, New York, 1993, x+190pp, ISBN 3-11-013765-8.
  • Reviewed by K.J. Falconer in Proceedings of the Edinburgh Mathematical Society, 38, (Series II), 1995, page 357.
• S.H. Strogatz.
  1. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. Addison-Wesley, Reading, Massachusetts, 1994, 498pp, ISBN 0-201-54344-3.
     1. Reviewed by Douglas S. Shafer in SIAM Review, Volume 37, Number 2, June 1995, pages 280-281.
     2. Reviewed by R.P. Behringer in Nonlinear Science Today. (Review posted 15 September 1995)
  2. SYNC: The Emerging Science of Spontaneous Order. Hyperion, New York, 2003. 325 pp. ISBN 0-7868-6844-9.
     1. Reviewed by R.E. O'Malley Jr in SIAM Review, Volume 45, Number 3, September 2003, pages 616-617.
     2. Reviewed by G.B. Ermentrout in Notices of the American Mathematical Society, Volume 51, Number 3, pages 312-319.
• A.M. Stuart and A.R. Humphries. Dynamical Systems and Numerical Analysis. Cambridge Monographs on Applied and Computational Mathematics Number 2, Cambridge University Press, 1996, xxii +685pp, ISBN 0-521-49672-1.
  1. Reviewed by G. Moore in Proceedings of the Edinburgh Mathematical Society, 41 (Series II), Part 1, February 1998, 213-216.
  2. Reviewed by Jaroslav Stark in UK Nonlinear News 19 (February 2000).
• G.E. Swaters. Introduction to Hamiltonian Fluid Dynamics and Stability Theory. Chapman and Hall, Monographs in Pure and Applied Mathematics 102, 2000. ISBN 1-58488-023-6.
  • Reviewed by A.P. Fordy in UK Nonlinear News 21, August 2000.
• D. Szasz (editor) . Hard Ball Systems and the Lorentz Gas . Encyclopaedia of Mathematical Sciences Volume 101. Springer-Verlag, 2000. ISBN 3-540-67621.
  • Reviewed by F. Berkshire in UK Nonlinear News 28 (May 2002).
BOTTOM. TOP. T
• P.A. Tass. Phase Reseting in Medicine and Biology. Springer-Verlag, New York, 1999. xiii+329pp., hardcover. ISBN 3-540-65697-9.
  • Reviewed by J. Milton in SIAM Review, Volume 43, Number 2, June 2001, pages 393-384.
• C.H. Taubes. Modeling differential equations in biology. Prentice Hall, Upper Saddle River, NJ, 2001, 528pp, ISBN 0-13-017325-8.
  • Reviewed by G. Oster in Bulletin (New Series) of the American Mathematical Society, Volume 39, Number 3, July 2002, page 431.
• C.H. Taubes. Modeling differential equations in biology (Second Edition). Cambridge University Press, Cambridge, UK, 2008, xxiv+500pp, softcover. ISBN 978-0-521-70843-2.
  • Reviewed by E. Shea-Brown in SIAM Review, Volume 50, Number 4, December 2008, pages 816-817.
• A.B. Taylor. Mathematical Models in Applied Mechanics. Oxford University Press, New York, 2003. viii +280pp., softcover. ISBN 0-19-851559-6.
  • Reviewed by W.O. Criminale in SIAM Review, Volume 45, Number 1, March 2003, pages 134-135.
• T. Tél and M. Gruiz. Chaotic Dynamics: An Introduction Based on Classical Mechanics. Cambridge University Press, Cambridge, UK, 2006. xviii+408pp., softcover. ISBN 978-0-521-54783-3.
  • Reviewed by M.K. Stephen Yeung in SIAM Review, Volume 49, Number 4, December 2007, pages 728-732.
• R. Teman. Navier-Stokes Equations and Nonlinear Functional Analysis. 2nd edition. Society for Industrial and Applied Mathematics, Philadelphia, PA, 1995. xiv+141pp, ISBN 0-89871-340-4.
  • Reviewed by R. Farwig in SIAM Review, Volume 38, Number 4, December 1996, pages 687-688.
• H.R. Thieme. Mathematics in Population Biology. Princeton University Press, Princeton, NJ, USA 2003. xx+543pp., softcover. ISBN 0-691-09291-5.
  1. Reviewed by L.J.S. Allen in SIAM Review 46, Number 2, June 2004, pages 356-358.
  2. Reviewed by J.M. Cushing in Bulletin (New Series) of the American Mathematical Society, Volume 42(4), October 2005, 501-504.
• J.M.T. Thompson and H.B. Stewart . Nonlinear Dynamics and Chaos (2nd edition). Wiley, 2002, ISBN: 0-471-87684-4.
  • Reviewed by J. Hogan in UK Nonlinear News 29 (August 2002).
• A. Tondl, T. Ruijgrok, F. Verhulst and Radoslav Nabergoj (editors). Autoparametric resonance in mechanical systems. Cambridge University Press , 196 Pages ISBN: 0-521-65079-8.
  1. Reviewed by Alan Champneys in UK Nonlinear News 22 (November 2000)
  2. Reviewed by J. Murdock in SIAM Review, Volume 43, Number 2, June 2001, pages 397-398.
BOTTOM. TOP. V
• A.F. Vakakis, L.I. Manevitch, Y.V. Mikhlin, V.N. Pilipchuk, and A.A. Zevin. Normal Modes and Localization in Nonlinear Systems. John Wiley & Sons, Inc, New York, 1996, ISBN 0-471-13319-1.
1. Reviewed by Richard R. Rand in SIAM Review, Volume 39, Number 3, September 1997, pages 544-546.
2. Reviewed by Alois Steindl in Nonlinear Science Today. (Review posted 23 September 1997)
• P.J. Vassiliou and I.G. Lisle (editors). Geometric Approaches to Differential Equations . Cambridge University Press, Cambridge, UK, 2000. x+227pp., softcover. ISBN 0-521-77598-1.
  • Reviewed by N. Joshi in SIAM Review 44, Number 1, March 2002, pages 148-50.
• D. del Vecchio and R.M. Murray. Biomolecular Feedback Systems. Princeton University Press, 2015. ISBN 978-0-691-16153-2.
  • Reviewed by M.I. Nelson in Gazette of the Australian Mathematical Society, 43, Number 3, 2016, pages 185-191.
• L. Véron. Singularities of Solutions of Second Order Quasilinear Equations. Longman, 1996, ISBN 3-540-57039-X.
  • Reviewed by D.E. Edmunds in Bulletin of the London Mathematical Society, 31, Number 4, July 1999, pages 504-505.
• L.N. Virgin. Introduction to Experimental Nonlinear Dynamics. Cambridge University Press, 2000. xvi+256pp, softcover. ISBN 0-521-77931-6.
  1. Reviewed by F.C. Moon in SIAM Review, Volume 43, Number 1, March 2001, pages 215-216.
  2. Reviewed by J. Hogan in UK Nonlinear News 29 (August 2002).
• M.I. Vishik. Asymptotic Behaviour of Solutions of Evolution Equations. Cambridge, Great Britain, 1992, 155pp, ISBN 0-521-42023-7.
  • Reviewed by Alexander Mielke in SIAM Review, Volume 37, Number 3, September 1995, pages 471-472.
• A.I. Volpert, V.A. Volpert, and V.A. Volpert, Travelling Wave Solutions of Parabolic Systems (Translations of Mathematical Monographs 140). 448pp, ISBN 0-8218-4609-4.
  • Reviewed by B.D. Sleeman in Bulletin of the London Mathematical Society, Volume 28, Part 4, July 1996, pages 446-448.
• V. I. Vorotnikov. Partial Stability and Control. Birkhäuser Verlag AG 1998, ISBN 3-7643-3917-9.
  • Reviewed by Stuart Townley in UK Nonlinear News 14 (November 1998).
BOTTOM. TOP. W
• P.G. Walczak. Dynamics of Foliations, Groups and Pseudogroups. Birkhäuser-Verlag, Bassel, 2004. xii+225pp., hardcover. ISBN 3-7643-7091-2.
  • Reviewed by Lawrence Conlon in SIAM Review, Volume 47, Number 3, September 2005, pages 587-594.
• D.J. Watts. Small Worlds: The Dynamics of Networks Between Order and Disorder. Princeton University Press, 1999, 278 pages, ISBN 0691005419.
  • Reviewed by J. Stark in UK Nonlinear News 29 (August 2002).
• B.J. West, M. Bologna and P. Grigolini. Physics of Fractal Operators. Springer-Verlag, 23 figures, 354 pages, ISBN 0-387-95554-2.
  • Reviewed by Henrik Jensen in UK Nonlinear News 35 (February 2004).
• S. Wiggins.
  1. Global Dynamics, Phase Space Transport, Orbits Homoclinic to Resonances, and Applications. AMS, Providence, RI, 1993, xi+155pp, ISBN 0-8218-9202-9.
     • Reviewed by Kenneth J. Palmer in SIAM Review, Volume 38, Number 3, September 1996, pages 538-539.
  2. Normally Hyperbolic Invariant Manifolds in Dynamical Systems. Springer-Verlag, NY, 1994, 193pp, ISBN 0-387-9402-X.
     • Reviewed by Kenneth J. Palmer in SIAM Review, Volume 37, Number 3, September 1995, page 472.
• S.G. William (editor). Symbolic Dynamics and Its Applications. American Mathematical Society, Providence, RI, USA, 2004. viii +156pp., hardcover. ISBN 0-8218-3157-7.
  • Reviewed by M.C. Sullivan in SIAM Review 47, Number 2, June 2005, pages 397-400.
• W. Wilson. Simulating Ecological and Evolutionary Systems in C. Cambridge University Press, Cambridge, UK, 2000. xv+301pp., softcover. ISBN 0-521-77658-9.
  • Reviewed by J. Gross and S. Duke-Sylvester in SIAM Review 43, Number 4, December 2001, pages 719-722.
• A.T. Winfree. The Geometry of Biological Time (2nd edition). Springer Verlag, 2000.
  • Reviewed by M. Bees in UK Nonlinear News 29 (August 2002).
• S. Wolfram. A New Kind of Science. Wolfram Media, Inc., Champaign, IL, USA, 2002. xiv+1197 pp., hardcover. ISBN 1-57955-008-8.
  • Reviewed by G. Bard in SIAM Review Volume 45, Number 2, June 2003, pages 361-365.
Z
• G.M. Zaslavsky. Hamiltonian Chaos and Fractional Dynamics. Oxford University Press, New York, 2005. 421 pp, hardcover. ISBN 0-19-952604-0.
  • Reviewed by J.D. Meiss in SIAM Review Volume 48, Number 1, March 2006, pages 181-183.
BOTTOM. TOP.