Mathematics for physics : a guided tour for graduate students [E-Book] / Michael Stone and Paul Goldbart.
Stone, Michael, (author)
Goldbart, Paul M., (author)
Cambridge : Cambridge University Press, 2009
1 online resource (xiii, 806 pages)
englisch
9780521854030
9780511627040
Full Text
Table of Contents:
  • 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
  • Applications of complex variables
  • Special functions and complex variables
  • Linear algebra review
  • Fourier series and integrals.