This is a continuation of the subject matter discussed in the first book, with an emphasis on systems of ordinary differential equations and will be most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as in the life sciences, physics, and economics. After an introduction, there follow chapters on systems of differential equations, of linear differential equations, and of nonlinear differential equations. The book continues with structural stability, bifurcations, and an appendix on linear algebra. The whole is rounded off with an appendix containing important theorems from parts I and II, as well as answers to selected problems.

Differential Equations: A Dynamical Systems Approach: Higher-Dimensional Systems (Texts in Applied Mathematics, 18)

Science & Math

Hubbard, John H.

West, Beverly H.

Mathematics

Springer

This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. The authors have taken the view that a differential equations theory defines functions; the object of the theory is to understand the behaviour of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods, and the companion software, MacMath, is designed to bring these notions to life.

Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations (Texts in Applied Mathematics, 5)

This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. The authors have taken the view that a differential equations theory defines functions; the object of the theory is to understand the behaviour of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods, and the companion software, MacMath, is designed to bring these notions to life.

Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations (Texts in Applied Mathematics)

Differential Equations: A Dynamical Systems Approach: Higher-Dimensional Systems (Texts in Applied Mathematics)

MacMath 9. 2: a dynamical systems software package for the Macintosh (English and German Edition)

Computers & Technology

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Books by West, Beverly H.