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