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A Course of Modern Analysis E. T. Whittaker

A Course of Modern Analysis By E. T. Whittaker

A Course of Modern Analysis by E. T. Whittaker

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Summary

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.

A Course of Modern Analysis Summary

A Course of Modern Analysis by E. T. Whittaker

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.

A Course of Modern Analysis Reviews

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

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 Lame's equation.

Additional information

NLS9780521588072
9780521588072
0521588073
A Course of Modern Analysis by E. T. Whittaker
E. T. Whittaker
Cambridge Mathematical Library
New
Paperback
Cambridge University Press
1996-09-13
620
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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