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Viser: Lectures on Partial Differential Equations
Lectures on Partial Differential Equations
Vladimir I. Arnold og Roger Cooke
(2003)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- 1. Udgave
- Paperback: 157 sider
- Udgiver: Springer Berlin / Heidelberg (Oktober 2003)
- Forfattere: Vladimir I. Arnold og Roger Cooke
- ISBN: 9783540404484
2. The General Theory for 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.- A.1. The Basic Spaces and Groups.- A.2. Some Theorems of Real Algebraic Geometry.- A.3. From Algebraic Geometry to Spherical Functions.- A.4. Explicit Formulas.- A.6. The History of Maxwell's Theorem.- Literature.- B. Problems.- B.1. Material from the Seminars.- B.2. Written Examination Problems.