# Physical Mathematics

## Book Description

Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory.

### Table of Contents

Chapter 1 Linear algebra

Chapter 2 Fourier series

Chapter 3 Fourier and Laplace transforms

Chapter 4 Infinite series

Chapter 5 Complex-variable theory

Chapter 6 Differential equations

Chapter 7 Integral equations

Chapter 8 Legendre functions

Chapter 9 Bessel functions

Chapter 10 Group theory

Chapter 11 Tensors and local symmetries

Chapter 12 Forms

Chapter 13 Probability and statistics

Chapter 14 Monte Carlo methods

Chapter 15 Functional derivatives

Chapter 16 Path integrals

Chapter 17 The renormalization group

Chapter 18 Chaos and fractals

Chapter 19 Strings

## Book Details

- Title: Physical Mathematics
- Author: Kevin Cahill
- Length: 681 pages
- Edition: 1
- Language: English
- Publisher: Cambridge University Press
- Publication Date: 2013-04-22
- ISBN-10: 1107005213
- ISBN-13: 9781107005211

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