Ordinary Differential Equations: Principles and Applications

ISBN-13: 9781108416412 / Angielski / Twarda / 2017 / 344 str.

A. K. Nandakumaran; P. S. Datti; Raju K. George

Opis

An easy to understand guide covering key principles of ordinary differential equations and their applications.

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Recenzje

'The articles in the book are neatly presented, … written in academic style with long lists of references at the end.' David Hopkins, The Mathematical Gazette

Spis treści

List of tables; List of figures; Preface; 1. Introduction and examples: physical models; 2. Preliminaries; 3. First and second order linear equations; 4. General theory of initial value problems; 5. Linear systems and qualitative analysis; 6. Series solutions: Frobenius theory; 7. Regular Sturm–Liouville theory; 8. Qualitative theory; 9. Two point boundary value problems; 10. First order partial differential equations: method of characteristics; Appendix A. Poinca`e–Bendixon and Leinard's theorems; Bibliography; Index.