Differential Equations – Morris W. Hirsch – 2nd Edition

Description

Thirty years in the making, this revised text by three of the world’s leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the between and certain outside pure mathematics, and has become the standard for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary algebra.

The authors are tops in the field of advanced mathematics, including Steve who is a recipient of the Field’s Medal for his work in dynamical systems.

* Developed by award-winning researchers and authors
* Provides a rigorous yet accessible introduction to differential equations and
* Includes bifurcation theory throughout
* Contains numerous explorations for students to embark upon

NEW IN THIS EDITION

* New contemporary material and updated
* Revisions throughout the text, including simplification of many theorem hypotheses
* Many new figures and illustrations
* Simplified treatment of
* Detailed discussion of the chaotic behavior in the Lorenz attractor, the Shil’nikov systems, and the double scroll attractor
* Increased coverage of discrete

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  • 1. First Order Equations
    2. Planar Linear Systems
    3. Phase Portraits
    4. Classification of Planar Systems
    5. Higher Dimensional Linear Algebra
    6. Higher Dimensional Linear Systems
    7. Fundamental Theory
    8. Equilibria in Nonlinear Systems
    9. 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. Applications in Other Fields
    16. Homoclinic Phenomana
    17. Discrete Dynamical Systems
    18. Higher Dimensional Discrete Systems.
  • Citation

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