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Introduction to Partial Differential Equations
This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Collectivité auteur: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Édition: | 1st ed. 2016. |
| Collection: | Universitext,
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| Sujets: | |
| Accès en ligne: | Texto Completo |
Table des matières:
- 1. Introduction
- 2. Preliminaries
- 3. Conservation Equations and Characteristics
- 4. The Wave Equation
- 5. Separation of Variables
- 6. The Heat Equation
- 7. Function Spaces
- 8. Fourier Series
- 9. Maximum Principles
- 10. Weak Solutions
- 11. Variational Methods
- 12. Distributions
- 13. The Fourier Transform
- A. Appendix: Analysis Foundations
- References
- Notation Guide
- Index.