Book Review
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Book Information:
Authors:
Martin Golubitsky and
Ian Stewart
Title:
The symmetry perspective: From equilibrium to chaos in phase space and physical space
Additional book information:
Birkhäuser Verlag,
Basel, Boston and Berlin,
2003,
xvii + 325 pp.,
ISBN 3-7643-2171-7,
44.94 euros, CHF 68,
softcover;
ISBN 3-7643-6609-5,
75 euros, CHF 113,
hardcover
Dynamical systems. V, Encyclopaedia of Mathematical Sciences, vol. 5, Springer-Verlag, Berlin, 1994. Bifurcation theory and catastrophe theory; A translation of Current problems in mathematics. Fundamental directions. Vol. 5 (Russian), Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1986 [ MR0895652 (89a:58088)]; Translation by N. D. Kazarinoff. MR 1287421, DOI 10.1007/978-3-642-57884-7
Martin Golubitsky and David G. Schaeffer, Singularities and groups in bifurcation theory. Vol. I, Applied Mathematical Sciences, vol. 51, Springer-Verlag, New York, 1985. MR 771477, DOI 10.1007/978-1-4612-5034-0
Martin Golubitsky, Ian Stewart, and David G. Schaeffer, Singularities and groups in bifurcation theory. Vol. II, Applied Mathematical Sciences, vol. 69, Springer-Verlag, New York, 1988. MR 950168, DOI 10.1007/978-1-4612-4574-2
John Guckenheimer and Philip Holmes, Nonlinear oscillations, dynamical systems, and bifurcations of vector fields, Applied Mathematical Sciences, vol. 42, Springer-Verlag, New York, 1983. MR 709768, DOI 10.1007/978-1-4612-1140-2
J. D. Murray, Mathematical biology, Biomathematics, vol. 19, Springer-Verlag, Berlin, 1989. MR 1007836, DOI 10.1007/978-3-662-08539-4
Michael C. Reed, Why is mathematical biology so hard?, Notices Amer. Math. Soc. 51 (2004), no. 3, 338–342. MR 2034240
G. Bard Ermentrout, Review of Sync: The emerging science of spontaneous order [Hyperion Press, New York, 2003] by Steve Strogatz, Notices Amer. Math. Soc. 51 (2004), no. 3, 312–319. MR 2034238
- 1.
- V. I. Arnold (Ed.), Dynamical Systems. V. Bifurcation Theory and Catastrophe Theory, Encyclopaedia of Mathematical Sciences 5, Springer-Verlag, New York (1994). MR 1287421
- 2.
- M. Golubitsky and D. Schaeffer, Singularities and Groups in Bifurcation Theory I, Springer App. Math. Sci. 51, Springer Verlag, New York (1985). MR 0771477
- 3.
- M. Golubitsky, I. Stewart and D. Schaeffer, Singularities and Groups in Bifurcation Theory II, Springer App. Math. Sci. 69, Springer Verlag, New York (1988). MR 0950168
- 4.
- J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer App. Math. Sci. 42, Springer Verlag, New York (1983). MR 0709768
- 5.
- J.D. Murray, Mathematical Biology, Biomath. 19, Springer Verlag, Berlin (1989). MR 1007836
- 6.
- M.C. Reed, Why is mathematical biology so hard? Notices of the AMS 51:338-342 (2004). MR 2034240
- 7.
- S.H. Strogatz, Sync: The Emerging Science of Spontaneous Order, Hyperion Press (2003), reviewed by G.B. Ermentrout in Notices of the AMS 51:312-319 (2004). MR 2034238
Review Information:
Reviewer:
Peter Ashwin
Affiliation:
University of Exeter
Email:
P.Ashwin@ex.ac.uk
Journal:
Bull. Amer. Math. Soc.
42 (2005), 99-103
Published electronically:
October 4, 2004
Review copyright:
© Copyright 2004
American Mathematical Society