Download Free PDF book on ” Mathematics for Physics a Guided Tour for Graduate Students” By Michael Stone and Paul Goldbart.
Contents
- Calculus of variations
- Function spaces
- Motivation
- 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
- Applications of complex variables
- Special functions and complex variables