Lectures on partial differential equations /
| Основен автор: | Arnold, V. I. 1937-2010. |
|---|---|
| Формат: | Книга |
| Език: | English Russian |
| Публикувано: |
Berlin ; New York :
Springer-Verlag,
c2004.
|
| Серия: |
Universitext.
|
| Предмети: | |
| Онлайн достъп: |
Publisher description Table of contents only Table of contents Book jacket |
Съдържание:
- The general theory for one first-order equation
- The general theory for one first-order equation (continued)
- Huygen's principle in the theory of wave propagation
- The vibrating string (d'Alembert's method)
- The Fourier method (for the vibrating string)
- The theory of oscillation. The variational principle
- The theory of oscillations. The variational principle (continued)
- Properties of harmonic functions
- The fundamental solution for the Laplacian. Potentials
- The double-layer potential
- Spherical functions. Maxwell's theorem. The removable singularities theorem
- Boundary-value problems for Laplace's equation. Theory of linear equations and systems
- The topological content of Maxwell's theorem on the multifield representation of spherical functions.