Mathematics for physics : a guided tour for graduate students
Michael Stone and Paul Goldbart.
Cambridge, UK ; New York : Cambridge University Press, 2009.
xiii, 806 págs. : ilustraciones ; 26 cm.
ISBN: 9780521854030 (hbk.), 0521854032 (hbk.)
Incluye referencias bibliográficas (p. 797-798) e índice.
Reseña: MathSciNet, 2010h:00006
Contenido
- 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.