Differential Equations: A Dynamical Systems Approach : Higher-Dimensional Systems

✍ Scribed by Hubbard, John H.; West, Beverly H

Publisher: Springer New York
Year: 1991
Tongue: English
Leaves: 615
Series: Texts in applied mathematics 18
Edition: Softcover reprint of the original 1st ed. 1995
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

✦ Table of Contents

Front Matter....Pages i-xiv
Systems of Differential Equations....Pages 1-68
Systems of Differential Equations....Pages 69-129
Systems of Nonlinear Differential Equations....Pages 131-201
Structural Stability....Pages 203-264
Bifurcations....Pages 265-368
Back Matter....Pages 369-602

✦ Subjects

Analysis;Mathematical Methods in Physics;Numerical and Computational Physics

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