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Methods of Mathematical Physics

Methods of Mathematical Physics

3rd Edition

£56.99

textbook

Part of Cambridge Mathematical Library

  • Date Published: November 1999
  • availability: Available
  • format: Paperback
  • isbn: 9780521664028

£ 56.99
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About the Authors
  • This well-known text and reference contains an account of those parts of mathematics that are most frequently needed in physics. As a working rule, it includes methods which have applications in at least two branches of physics. The authors have aimed at a high standard of rigour and have not accepted the often-quoted opinion that 'any argument is good enough if it is intended to be used by scientists'. At the same time, they have not attempted to achieve greater generality than is required for the physical applications: this often leads to considerable simplification of the mathematics. Particular attention is also paid to the conditions under which theorems hold. Examples of the practical use of the methods developed are given in the text: these are taken from a wide range of physics, including dynamics, hydrodynamics, elasticity, electromagnetism, heat conduction, wave motion and quantum theory. Exercises accompany each chapter.

    • Well-known text and reference, now available at a reduced price
    • Comprehensive coverage of those parts of mathematics most needed in physics
    • Includes examples of the practical uses of methods discussed in the text
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    Reviews & endorsements

    From reviews of the first edition: 'There must be very few major techniques in theoretical physics which are not explained here and illustrated by some genuine examples. It remains, and is likely to continue for many years, an almost indispensable work of reference for anyone attempting research in theoretical physics.' Proceedings of the Physical Society

    'The most important single book on the applied mathematician's or theoretical physicist's bookshelf.' British Journal of Applied Physics

    'This outstandingly excellent mathematical treatise … The work is a fine product of British mathematical scholarship, and a benefaction to the cause of progress in natural philosophy.' Nature

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    Product details

    • Edition: 3rd Edition
    • Date Published: November 1999
    • format: Paperback
    • isbn: 9780521664028
    • length: 730 pages
    • dimensions: 228 x 153 x 44 mm
    • weight: 1.12kg
    • contains: 91 b/w illus. 252 exercises
    • availability: Available
  • Table of Contents

    1. The real variable
    2. Scalars and vectors
    3. Tensors
    4. Matrices
    5. Multiple integrals
    6. Potential theory
    7. Operational methods
    8. Physical applications of the operational method
    9. Numerical methods
    10. Calculus of variations
    11. Functions of a complex variable
    12. Contour integration and Bromwich's integral
    13. Contour integration
    14. Fourier's theorem
    15. The factorial and related functions
    16. Solution of linear differential equations of the second order
    17. Asymptotic expansions
    18. The equations of potential, waves and heat conduction
    19. Waves in one dimension and waves with spherical symmetry
    20. Conduction of heat in one and three dimensions
    21. Bessel functions
    22. Applications of Bessel functions
    23. The confluent hypergeometric function
    24. Legendre functions and associated functions
    25. Elliptic functions
    Notes
    Appendix on notation
    Index.

  • Authors

    Harold Jeffreys, University of Cambridge and St John's College, Cambridge

    Bertha Jeffreys, Girton College, Cambridge

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