Stability, Instability and Chaos Paperback: An Introduction to the Theory of Nonlinear Differential Equations: 11 (Cambridge Texts in Applied Mathematics, Series Number 11) - Softcover

Glendinning, Paul

Softcover

ISBN 10: 0521425662 ISBN 13: 9780521425667

Verlag: Cambridge University Press, 1994

Inhaltsangabe

By providing an introduction to nonlinear differential equations, Dr Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses.

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Críticas

'I have rarely read an introductory matematical book with such pleasure ... Those new graduate students who will use any branch of nonlinear systems theory in their studies, and who have not had the advantage of attending Dr Glendinning's final year undergraduate lectures, should sacrifice their bread and beer for the means to rush out and buy this book. More eminent and senior scientists would equally find it worth the sacrifice of a bottle or two of their favorite claret ... The book is full of excellent and appropriate examples and virtually empty of errors.' J. Brindley, Bulletin of the Institute of Mathematics

'The book has a vigorous style. Readers will also appreciate Glendinning's efforts to make it clear from the start where his discussions are going and what the important results will be ... Exercises for students, provided in each chapter, are of graded difficulty and nicely cover the material ... This book is likely to become a standard undergraduate mathematics text in non-linear differential equations.' Edward Ott, Nature

'The author writes clearly and carefully, weaving together general results with a steady supply of simple examples and excercises for the reader. Pick a section of the book to read at random and one is completely confident that effort is going to be rewarded; that the author is really explaining rather than simply recounting.' The Times Higher Education Supplement

Contraportada

This book examines qualitative methods for nonlinear differential equations, bifurcation theory and chaos in terms suitable for advanced undergraduate and first-year postgraduate students in mathematics and physics. Starting from the idea of phase space, the structure of solutions near hyperbolic stationary points and periodic orbits in investigated. Then, after a brief discussion of perturbation methods and nonlinear oscillators, the theory of nonhyperbolic stationary points, bifurcations and chaos is described.

Über diese Auflage

• Verlag: Cambridge University Press
• Erscheinungsdatum: 1994
• ISBN 10: 0521425662
• ISBN 13: 9780521425667
• Einband: Tapa blanda
• Auflage: 1
• Anzahl der Seiten: 402