Introduction to partial differential equations / Yehuda Pinchover and Jacob Rubinstein.
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 theor...
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
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New York :
Cambridge University Press,
2005.
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Table of Contents:
- Introduction
- First-order equations
- Second-order linear equations
- The 1D wave equation
- Separation of variables
- Sturm-Liouville problem
- Elliptic equations
- Green's function and integral representation
- Equations in high dimensions
- Variational methods
- Numerical methods
- Solutions of odd-numbered problems
- 1. Introduction
- 2. First-order equations
- 3. Second-order linear equations in two independent variables
- 4. The one-dimensional wave equation
- 5. The method of separation of variables
- 6. Sturm-Liouville problems and eigenfunction expansions
- 7. Elliptic equations
- 8. Green's functions and integral representations
- 9. Equations in high dimensions
- 10. Variational methods
- 11. Numerical methods
- 12. Solutions of odd-numbered problems.