Physical mathematics / Kevin Cahill.
Material type:
TextPublication details: Delhi : Cambridge University Press, 2013.Description: xvii, 666 p. : illustrations ; 26 cmISBN: - 9781316614181
- 530.15 23 C132
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 530.15 C132 (Browse shelf(Opens below)) | Available | 137025 |
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| 530.15 B984 Mathematical physics | 530.15 B986 Point group symmetry applications | 530.15 B996 Mathematics of classical and quantum physics | 530.15 C132 Physical mathematics / | 530.15 C277 Geometry from dynamics, classical and quantum / | 530.15 C336 Stochastic behavior in classical and quantum Hamiltonian systems | 530.15 C337 Linear transport theory |
Includes bibliographical references and index.
Preface --
1. Linear algebra --
2. Fourier series --
3. Fourier and Laplace transforms --
4. Infinite series --
5. Complex-variable theory --
6. Differential equations --
7. Integral equations --
8. Legendre functions --
9. Bessel functions; 10. Group theory --
11. Tensors and local symmetries --
12. Forms --
13. Probability and statistics --
14. Monte Carlo methods --
15. Functional derivatives --
16. Path integrals --
17. The renormalization group --
18. Chaos and fractals --
19. Strings.
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.
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