Beispielbild für diese ISBN
Finding and interpreting the solutions of differential equations is a central and essential part of applied mathematics. This book aims to enable the reader to develop the required skills needed for a thorough understanding of the subject. The authors focus on the business of constructing solutions analytically, and interpreting their meaning, using rigorous analysis where needed. MATLAB is used extensively to illustrate the material. There are many worked examples based on interesting and unusual real world problems. A large selection of exercises is provided, including several lengthier projects, some of which involve the use of MATLAB. The coverage is broad, ranging from basic second-order ODEs and PDEs, through to techniques for nonlinear differential equations, chaos, asymptotics and control theory. This broad coverage, the authors? clear presentation and the fact that the book has been thoroughly class-tested will increase its attraction to undergraduates at each stage of their studies. Contents Preface Part I. Linear Equations: 1. Variable coefficient, second order, linear, ordinary differential equations 2. Legendre functions 3. Bessel functions 4. Boundary value problems, Green`s functions and Sturm-Liouville theory 5. Fourier series and the Fourier transform 6. Laplace transforms 7. Classification, properties and complex variable methods for second order partial differential equations Part II. Nonlinear Equations and Advanced Techniques: 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations 9. Nonlinear ordinary differential equations: phase plane methods 10. Group theoretical methods 11. Asymptotic methods: basic ideas 12. Asymptotic methods: differential equations 13. Stability, instability and bifurcations 14. Time-optimal control in the phase plane 15. An introduction to chaotic systems Appendix 1. Linear algebra Appendix 2. Continuity and differentiability Appendix 3. Power series Appendix 4. Sequences of functions Appendix 5. Ordinary differential equations Appendix 6. Complex variables Appendix 7. A short introduction to MATLAB Bibliography Index. Printed Pages: 552. Buchnummer des Verkäufers 11789
Titel: Differential Equations: Linear, Nonlinear, ...
Verlag: Cambridge University Press
Auflage: First edition.
Buchbeschreibung Cambridge University Press, Cambridge University Press, 2003. Buchzustand: As New. xi 541p large paperback, blue photographic cover, white lettering to spine, excellent copy, like new. Artikel-Nr. PAB 168694