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Physical Mathematics

2nd Edition

$84.99 (X)

  • Publication planned for: August 2019
  • availability: Not yet published - available from October 2019
  • format: Hardback
  • isbn: 9781108470032

$ 84.99 (X)

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About the Authors
  • 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 spherical harmonics, the book explains topics such as the singular value decomposition, Lie algebras and group theory, tensors and general relativity, the central limit theorem and Kolmogorov's theorems, Monte Carlo methods of experimental and theoretical physics, Feynman's path integrals, and the standard model of cosmology.

    • Describes the fundamental mathematics that students and researchers need in their physics courses and research
    • Explains the mathematics simply, making it easy for all students of physics and other physical sciences to learn from this book
    • Includes topics important in physics but not covered in most math books; uses numerous examples, many drawn from current research
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    Reviews & endorsements

    'Cahill has given us a concise and mathematically clear text, one that adds many contemporary topics to a classic selection.' Roy J. Glauber, Harvard University, Massachusetts

    'Kevin Cahill’s book collects and presents the mathematical methods of physics succinctly, and will be much welcomed by students and researchers alike.' A. Zee, University of California, Santa Barbara

    'This book provides a comprehensive coverage of the mathematics necessary for advanced study in physics. The key notions are presented concisely and accurately with a wealth of beautiful examples borrowed from physics, biophysics, and probability theory. The inclusion of advanced topics such as differential forms and group theory makes this book a most useful resource for graduate students and researchers in theoretical physics.' Alain Comtet, Université Pierre et Marie Curie

    'I am impressed by the extremely clear and direct style with which this book has been written … The author has distilled his experience and obvious enjoyment of the subject, and presented mathematics in a remarkably human and accessible form.' David Waxman, Fudan University, Shanghai

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    Product details

    • Edition: 2nd Edition
    • Publication planned for: August 2019
    • format: Hardback
    • isbn: 9781108470032
    • length: 778 pages
    • dimensions: 252 x 178 x 39 mm
    • weight: 1.68kg
    • contains: 71 b/w illus. 465 exercises
    • availability: Not yet published - available from October 2019
  • Table of Contents

    1. Linear algebra
    2. Vector calculus
    3. Fourier series
    4. Fourier and Laplace transforms
    5. Infinite series
    6. Complex-variable theory
    7. Differential equations
    8. Integral equations
    9. Legendre polynomials and spherical harmonics
    10. Bessel functions
    11. Group theory
    12. Special relativity
    13. Tensors and general relativity
    14. Forms
    15. Probability and statistics
    16. Monte Carlo methods
    17. Artificial intelligence
    18. Order, chaos, and fractals
    19. Functional derivatives
    20. Path integrals
    21. Renormalization group
    22. Strings

  • Resources for

    Physical Mathematics

    Kevin Cahill

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  • Author

    Kevin Cahill, University of New Mexico
    Kevin Cahill is Professor of Physics and Astronomy at the University of New Mexico. He has carried out research at the National Institute of Standards and Technology, Saclay, Ecole Polytechnique, Orsay, Harvard University, National Institutes of Health, Lawrence Berkeley National Laboratory and the SLAC National Accelerator Laboratory, and has worked in quantum optics, quantum field theory, lattice gauge theory and biophysics. This book is based on courses taught by the author at the University of New Mexico and at Fudan University in Shanghai.

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