A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variables, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Solutions to selected exercises are included for students and extended solution sets are available to lecturers from solutions@cambridge.org.
- Many worked examples and exercises, with extended solutions available for lecturers from solutions@cambridge.org
- An undergraduate textbook which bridges the gap between introductory and advanced courses on differential equations
- Designed for students with a range of abilities
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Reviews & endorsements
"This is an introductory book on the subject of partial differential equations which is suitable for a large variety of basic courses on this topic. In particular, it can be used as a textbook or self-study book for large classes of readers with interests in mathematics, engineering, and related fields. Its usefulness stems from its clarity, balance and conciseness, achieved without compromising the mathematical rigor. One particularly attractive feature is the way in which the authors managed to emphasize the relevance of the theoretical tools in connection with practical applications."
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Product details
- Date Published: June 2005
- format: Paperback
- isbn: 9780521613231
- length: 384 pages
- dimensions: 244 x 173 x 18 mm
- weight: 0.75kg
- contains: 35 b/w illus. 200 exercises
- availability: Available
Table of Contents
1. Introduction
2. First-order equations
3. Second-order linear equations
4. The 1D wave equation
5. Separation of variables
6. Sturm-Liouville problem
7. Elliptic equations
8. Green's function and integral representation
9. Equations in high dimensions
10. Variational methods
11. Numerical methods
12. Solutions of odd-numbered problems.
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Instructors have used or reviewed this title for the following courses
- Advanced Differential Equations
- Applied Mathematical Analysis
- Applied Mathematics I
- Applied Mathematics ll
- Applied Partial Differential Equations
- Fundamentals of Nuclear Engineering
- Initial and Boundary Value Problems
- Introduction to Partial Differential Equations
- Partial Differential Equations of Applied Mathematics
Authors
Yehuda Pinchover, Technion - Israel Institute of Technology, Haifa
Jacob Rubinstein, Indiana University