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Differential Equations, Dynamical Systems, and an Introduction to Chaos

Morris W. Hirsch, Stephen Smale, and Robert L. Devaney
Publisher: 
Academic Press
Publication Date: 
2012
Number of Pages: 
418
Format: 
Hardcover
Edition: 
3
Price: 
99.95
ISBN: 
9780123820105
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee considers this book essential for undergraduate mathematics libraries.

[Reviewed by
Fernando Q. Gouvêa
, on
10/11/2012
]

See our review of the second edition. In addition to the usual streamlining of the text and improvements in proofs, the third edition adds new explorations: numerical methods, an adapted SIR model for zombie infestations, and a modeling the motion of a glider.

1. First-Order Equations
2. Planar Linear Systems
3. Phase Portraits
4. Classification of Planar Systems
5. Higher Dimension Linear Algebra
6. Higher Dimension Linear Systems
7. Nonlinear Systems
8. Equilibria in Nonlinear Systems
9. Global Nonlinear Techniques
10. Closed Orbits and Limit Sets
11. Applications in Biology
12. Applications in Circuit Theory
13. Applications in Mechanics
14. The Lorenz System
15. Discrete Dynamical Systems
16. Homoclinic Phenomena
17. Existence and Uniqueness Revisited

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