Mathematics for physics : a guided tour for graduate students /
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| Formato: | Libro |
| Idioma: | English |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2009.
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Tabla de Contenidos:
- 1. Calculus of Variations
- 2. Function Spaces
- 3. Linear Ordinary Differential Equations
- 4. Linear Differential Operators
- 5. Green Functions
- 6. Partial Differential Equations
- 7. The Mathematics of Real Waves
- 8. Special Functions
- 9. Integral Equations
- 10. Vectors and Tensors
- 11. Differential Calculus on Manifolds
- 12. Integration on Manifolds
- 13. An Introduction to Differential Topology
- 14. Groups and Group Representations
- 15. Lie Groups
- 16. The Geometry of Fibre Bundles
- 17. Complex Analysis
- 18. Applications of Complex Variables
- 19. Special Functions and Complex Variables
- Appendix A: Linear Algebra Review
- Appendix B: Fourier Series and Integrals.