# Mathematics for Physics

*- A Guided Tour for Graduate Students -*

## by Michael Stone and Paul Goldbart

*published by Cambridge University Press (2009)*

**A pre-publication PDF version is available
here (5.27MB)**
**What's covered...**
- Calculus of Variations
- Function Spaces
- Linear Ordinary Differential Equations
- Linear Differential Operators
- Green Functions
- Partial Differential Equations
- The Mathematics of Real Waves
- Special Functions
- Integral Equations
- Vectors and Tensors
- Differential Calculus on Manifolds
- Integration on Manifolds
- An Introduction to Differential Topology
- Groups and Group Representations
- Lie Groups
- The Geometry of Fibre Bundles
- Complex Analysis I
- Complex Analysis II
- Special Functions and Complex Variables
*Appendix A*: Linear Algebra Review
*Appendix B*: Fourier Series and Integrals

**Solutions to the problems will be available soon
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