Differential equations Linear nonlinear ordinary partial 1st Edition by King, Billingham, Otto 0521016878 978-0521016872 by King A.c., Billingham J., Otto S.r. 9780521816588, 0521816580 instant download after payment.

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Product details:

ISBN 10: 0521016878

ISBN 13: 978-0521016872

Author: A. C. King, J. Billingham, S. R. Otto

Differential equations are vital to science, engineering and mathematics, and this book enables the reader to develop the required skills needed to understand them thoroughly. The authors focus on constructing solutions analytically and interpreting their meaning and use MATLAB extensively to illustrate the material along with many examples based on interesting and unusual real world problems. A large selection of exercises is also provided.

Table of contents:

Part I: Linear Equations
Chapter 1: Variable Coefficient, Second Order, Linear, Ordinary Differential Equations
Chapter 2: Legendre Functions
Chapter 3: Bessel Functions
Chapter 4: Boundary Value Problems, Green's Functions and Sturm–Liouville Theory
Chapter 5: Fourier Series and the Fourier Transform
Chapter 6: Laplace Transforms
Chapter 7: Classification, Properties and Complex Variable Methods for Second Order Partial Differential Equations

Part II: Nonlinear Equations and Advanced Techniques
Chapter 8: Existence, Uniqueness, Continuity and Comparison of Solutions of Ordinary Differential Equations
Chapter 9: Nonlinear Ordinary Differential Equations: Phase Plane Methods
Chapter 10: Group Theoretical Methods
Chapter 11: Asymptotic Methods: Basic Ideas
Chapter 12: Asymptotic Methods: Differential Equations
Chapter 13: Stability, Instability and Bifurcations
Chapter 14: Time-Optimal Control in the Phase Plane
Chapter 15: An Introduction to Chaotic Systems

Appendices
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

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Tags: King, Billingham, Otto, Differential, equations