Differential Equations
Differential Equations
Linear, Nonlinear, Ordinary, Partial
Authors:
A. C. King, University of Birmingham
J. Billingham, University of Birmingham
S. R. Otto, University of Birmingham
J. Billingham, University of Birmingham
S. R. Otto, University of Birmingham
Published:
June 2003
Availability:
Available
Format:
Paperback
ISBN:
9780521016872
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.
- Class-tested with special attention given to areas students find hard
- Extensive exercises, with solutions available to instructors from [email protected]
- Many examples taken from real-world problems
Reviews & endorsements
"An eloquent applied differential equations textbook, with its own identity." SIAM Review
Product details
June 2003Paperback
9780521016872
556 pages
248 × 175 × 26 mm
1.093kg
169 b/w illus. 173 exercises
Available
Related links
Table of 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.
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Size: 1.4 MB
Type: application/pdf
