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A Course of Modern Analysis

A Course of Modern Analysis

4th Edition


Part of Cambridge Mathematical Library

  • Date Published: September 1996
  • availability: Available
  • format: Paperback
  • isbn: 9780521588072

£ 79.99

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About the Authors
  • This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions.

    • All time classic textbook
    • Sold over 16000 copies
    • Nothing comparable exists
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    Reviews & endorsements

    'This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world.' L'Enseignement Mathématique

    'Whittaker and Watson has entered and held the field as the standard book of reference in English on the applications of analysis to the transcendental functions. This end has been successfully achieved by following the sensible course of explaining the methods of modern analysis in the first part of the book and then proceeding to a detailed discussion of the transcendental function, unhampered by the necessity of continually proving new theorems for special applications. In this way the authors have succeeded in being rigorous without imposing on the reader the mass of detail which so often tends to make a rigorous demonstration tedious.' Nature

    'A wealth of mathematical ideas with a touch of old times make this book a pleasure to read.' European Mathematical Society

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    Product details

    • Edition: 4th Edition
    • Date Published: September 1996
    • format: Paperback
    • isbn: 9780521588072
    • length: 620 pages
    • dimensions: 228 x 153 x 30 mm
    • weight: 0.81kg
    • availability: Available
  • Table of Contents

    1. Complex numbers
    2. The theory of convergence
    3. Continuous functions and uniform convergence
    4. The theory of Riemann integration
    5. The fundamental properties of analytic functions
    6. The theory of residues
    7. The expansion of functions in infinite series
    8. Asymptotic expansions and summable series
    9. Fourier series and trigonometrical series
    10. Linear differential equations
    11. Integral equations
    12. The gamma function
    13. The zeta function of Riemann
    14. The hypergeometric function
    15. The Legendre function
    16. The confluent hypergeometric functions
    17. Bessel functions
    18. The equations of mathematical physics
    19. Mathieu functions
    20. Elliptic functions
    21. The theta functions
    22. Jacobian elliptic functions
    23. Ellipsoidal harmonics and Lamé's equation.

  • Authors

    E. T. Whittaker

    G. N. Watson

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