Mathematical Methods for Physics and Engineering

Mathematical Methods for Physics and Engineering

Mathematical Methods for Physics and Engineering Third Edition by K. F. Riley, M. P. Hobson and S. J. Bence.

Contents of Mathematical Methods for Physics and Engineering

  • Preliminary algebra
  • Preliminary calculus
  • Complex numbers and hyperbolic functions
  • Series and limits
  • Partial differentiation
  • Multiple integrals
  • Vector algebra
  • Matrices and vector spaces
  • Normal modes
  • Vector calculus
  • Line, surface and volume integrals
  • Fourier series
  • Integral transforms
  • First-order ordinary differential equations
  • Higher-order ordinary differential equations
  • Series solutions of ordinary differential equations
  • Eigenfunction methods for differential equations
  • Special functions
  • Quantum operators
  • Partial differential equations: general and particular solutions
  • Partial differential equations: separation of variables and other methods
  • Calculus of variations
  • Integral equations
  • Complex variables
  • Applications of complex variables
  • Tensors
  • Numerical methods
  • Group theory
  • Representation theory
  • Probability
  • Statistics

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