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Physical mathematics / Kevin Cahill.

By: Material type: TextTextPublication details: Delhi : Cambridge University Press, 2013.Description: xvii, 666 p. : illustrations ; 26 cmISBN:
  • 9781316614181
Subject(s): DDC classification:
  • 530.15 23 C132
Contents:
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.
Summary: 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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Holdings
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
Total holds: 0

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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