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 whilst 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
'Their book spans both introductory and advanced material, making it suitable for use right through a UK undergraduate degree. … It stresses the practical applications of rigour, introduced with a touch sufficiently light not to put off the average student.' The Times Higher Education Supplement
'The theoretical parts of the book are complemented by a good range of examples and problems. In summary, the book is a good introduction to the field that can be recommended for either class use or self-study.' Zeitschrift für Angewandte Mathematik und Mechanik
'This is a thought-provoking book that links theory with applications and should be welcomed in any university library.' The Mathematical Gazette
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Product details
- Date Published: May 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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An Introduction to Partial Differential Equations

Yehuda Pinchover, Jacob Rubinstein
General Resources
- Solutions
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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