Mathematical Physics [E-Book] : Applications and Problems / by V. Balakrishnan.
Balakrishnan, V., (author)
1st edition 2020.
Cham : Springer, 2020
XXVII, 781 pages 137 illustrations, 1 illustrations in color (online resource)
englisch
9783030396800
10.1007/978-3-030-39680-0
Full Text
Table of Contents:
  • Chapter 1: Warming up: Functions of a real variable
  • Chapter 2: Gaussian integrals, Stirling's formula, and some integrals
  • Chapter 3: Some more functions
  • Chapter 4: Generalized functions
  • Chapter 5: Vectors and tensors
  • Chapter 6: Vector calculus
  • Chapter 7: A bit of fluid dynamics
  • Chapter 8: Some more vector calculus
  • Chapter 9: A bit of electromagnetism and special relativity
  • Chapter 10: Linear vector spaces
  • Chapter 11: A look at matrices
  • Chapter 12: More about matrices
  • Chapter 13: Infinite-dimensional vector spaces
  • Chapter 14: Linear operators on a vector space
  • Chapter 15: Operator algebras and identities
  • Chapter 16: Orthogonal polynomials
  • Chapter 17: Fourier series
  • Chapter 18: Fourier integrals
  • Chapter 19: Discrete probability distributions
  • Chapter 20: Continuous probability distributions
  • Chapter 21: Stochastic processes
  • Chapter 22: Analytic functions of a complex variable
  • Chapter 23: More on analytic functions
  • Chapter 24: Linear response and analyticity
  • Chapter 25: Analytic continuation and the gamma function
  • Chapter 26: Multivalued functions and integral representations
  • Chapter 27: Mobius transformations
  • Chapter 28: Laplace transforms
  • Chapter 29: Green function for the Laplacian operator
  • Chapter 30: The diffusion equation
  • Chapter 31: The wave equation
  • Chapter 32: Integral equations.