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Physical Mathematics

2nd edition (current edition)

Kevin Cahill, University of New Mexico
Textbook
Unique in its clarity, examples, and range, Physical Mathematics explains simply and succinctly the mathematics that graduate students and professional physicists need to succeed in their courses and research. The book illustrates the mathematics with numerous physical examples drawn from contemporary research. This second edition has new chapters on vector calculus, special relativity and artificial intelligence and many new sections and examples. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations, Bessel functions, and…
Frontmatter
pp i-iv
Dedication
pp v-vi
Brief Contents
pp vii-viii
Contents
pp ix-xx
Preface
pp xxi-xxii
1 - Linear Algebra
pp 1-83
2 - Vector Calculus
pp 84-92
3 - Fourier Series
pp 93-127
4 - Fourier and Laplace Transforms
pp 128-157
5 - Infinite Series
pp 158-184
6 - Complex-Variable Theory
pp 185-247
7 - Differential Equations
pp 248-333
8 - Integral Equations
pp 334-342
9 - Legendre Polynomials and Spherical Harmonics
pp 343-364
10 - Bessel Functions
pp 365-389
11 - Group Theory
pp 390-450
12 - Special Relativity
pp 451-465
13 - General Relativity
pp 466-535
14 - Forms
pp 536-563
15 - Probability and Statistics
pp 564-631
16 - Monte Carlo Methods
pp 632-642
17 - Artificial Intelligence
pp 643-646
18 - Order, Chaos, and Fractals
pp 647-660
19 - Functional Derivatives
pp 661-668
20 - Path Integrals
pp 669-717
21 - Renormalization Group
pp 718-726
22 - Strings
pp 727-736
References
pp 737-743
Index
pp 744-758
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2nd edition (current edition)
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Online ISBN: 9781108555814
Published online: 17 August 2019
Hardback ISBN: 9781108470032
Hardback publication date: 15 August 2019

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