Ebook Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics
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Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics
Ebook Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics
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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. Included are treatments of the Poincaré-Bendixson theorem, the Hopf bifurcation and chaotic systems.
- Sales Rank: #1689278 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1994-11-25
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .91" w x 5.98" l, 1.28 pounds
- Binding: Paperback
- 404 pages
- Used Book in Good Condition
Review
"a coherent application-oriented account of both classical and contemporary theory of nonlinear differential equations...Recommended." D.E. Bentil, Choice
"[Glendinning] has succeeded admirably. The book has a vigorous style. Readers will appreciate Glendinning's efforts to make it clear from the start where his discussions are going and what the important results will be....This book is likely to become a standard undergraduate mathematics text in nonlinear differential equations." Edward Ott, Nature
"...full of excellent and appropriate examples and virtually empty of errors." J. Brindley, The Bulletin of the Institute of Mathematics and its Applications
From the Back Cover
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.
Most helpful customer reviews
0 of 1 people found the following review helpful.
Good
By ubpdqn
This was a good book. Ir was above my expertise but was instructive nonetheless. It covered the usual value of linearization. It also covered perturbation methods then bifurcation theory (saddlenode, transcritical, pitchfork and Hopf) and then discusses chaos through the horseshoe map concept. I found the discussion of uniomodal maps instructive, particularly unimodal maps without chaos.
I rushed through this book. It was above my head and my rushing reflected my mental state and time commitments. However, despite these caveats with respect to my review, it was a helpful book and motivates me to learn more. The author focuses on concepts and proofs a conceptually constructed. The bibliography is useful.
2 of 12 people found the following review helpful.
Waste of Time
By LIN MAN KAI
I am using this book for a course in uni.
I found it really unreadable. Notations are really slack....will make you so confused.
It does not really show you the details.....
After reading the book, what you wil get is a bunch of theorems.....
which you will not be able to apply in the future.....
because assumptions of the theorems were written so ambiguously....that you won't even know how to check whether they are satisfied.
Poorly written.....
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