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A Textbook on Ordinary Differential Equations

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概要 The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The bo...ok contains many interesting examples as well (like the equations for the electric circuits, the pendium equation, the logistic equation, the Lotka-Volterra system, and many other) which introduce the reader to some interesting aspects of the theory and its applications. The work is mainly addressed to students of Mathematics, Physics, Engineering, Statistics, Computer Sciences, with knowledge of Calculus and Linear Algebra, and contains more advanced topics for further developments, such as Laplace transform; Stability theory and existence of solutions to Boundary Value problems. The authors are preparing a complete solutions manual, containing solutions to all the exercises published in the book. The manual will be available Summer 2014. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors.続きを見る
目次 1 First order linear differential equations
2 Theory of first order differential equations
3 First order nonlinear differential equations
4 Existence and uniqueness for systems and higher order equations
5 Second Order Equations
6 Higher Order Linear Equations
7 Systems of First Order Equations
8 Qualitative analysis of 2x2 systems and nonlinear second order equations
9 Sturm Liouville eigenvalue theory
10 Solutions by infinite series and Bessel functions
11 Laplace transform
12 Stability Theory
13 Boundary Value problems
Appendix A. Numerical methods
Answers to Selected Exercises.
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本文を見る Full text available from Springer Mathematics and Statistics eBooks 2014 English/International

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登録日 2020.06.27
更新日 2020.06.28

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