Mathematical Physics [EBook] : Applications and Problems / by V. Balakrishnan.
Mathematical Physics [EBook] : Applications and Problems / by V. Balakrishnan.
This textbook is aimed at advanced undergraduate and graduate students interested in learning the fundamental mathematical concepts and tools widely used in different areas of physics. The author draws on a vast teaching experience, and presents a comprehensive and selfcontained text which explains...
Personal Name(s):  Balakrishnan, V., (author) 

Edition: 
1st edition 2020. 
Imprint: 
Cham :
Springer,
2020

Physical Description: 
XXVII, 781 pages 137 illustrations, 1 illustrations in color (online resource) 
Note: 
englisch 
ISBN: 
9783030396800 
DOI: 
10.1007/9783030396800 
Subject (LOC):  
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: Infinitedimensional 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.