Lectures on partial differential equations /
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| Author / Creator: | Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010 |
|---|---|
| Uniform title: | Lekt͡sii ob uravnenii͡akh s chastnymi proizvodnymi. English |
| Imprint: | Berlin ; New York : Springer, c2004. |
| Description: | x, 157 p. : ill. ; 24 cm. |
| Language: | English |
| Series: | Universitext |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5118158 |
Table of Contents:
- Preface to the Second Russian Edition
- 1. The General Theory to one First-Order Equation
- 2. The General Theory to one First-Order Equation (Continued)
- 3. Huygens' Principle in the Theory of Wave Propagation
- 4. The Vibrating String (d'Alembert's Method)
- 5. The Fourier Method (for the Vibrating String)
- 6. The Theory of Oscillations
- The Variational Principle
- 7. The Theory of Oscillations
- The Variational Principle (Continued)
- 8. Properties of Harmonic Functions
- 9. The Fundamental Solution for the Laplacian
- Potentials
- 10. The Double Layer Potential
- 11. Spherical Functions
- Maxwell's Theorem
- The Removable Singularities Theorem
- 12. Boundary Value Problems for Laplace's Equation
- Theory of Linear Equations and Systems
- A. The Topological Content of Maxwell's Theorem on the Multifield Representation of Spherical Functions
- B. Problems
