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A course of modern analysis; an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions. Preview this item
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A course of modern analysis; an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions.

Author: E T Whittaker; G N Watson
Publisher: Cambridge [England] University Press, 1963.
Edition/Format:   Print book : English : 4th ed, ReprintedView all editions and formats
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Additional Physical Format: Online version:
Whittaker, E. T. (Edmund Taylor), 1873-1956.
Course of modern analysis.
Cambridge [England] University Press, 1963
(OCoLC)899725518
Document Type: Book
All Authors / Contributors: E T Whittaker; G N Watson
OCLC Number: 3838641
Notes: First edition, 1902.
"List of authors quoted: p. [591]-594.
Description: 608 pages diagrams 27 cm
Contents: Pt. I. The processes of analysis. Complex numbers --
The theory of convergence --
Continuous functions and uniform convergence --
The theory of Riemann integration --
The fundamental properties of analytic functions; Taylor's, Laurent's, and Liouville's theorems --
The theory of residues; application to the evaluation of definite integrals --
The expansion of functions in infinite series --
Asymptotic expansions and summable series --
Fourier series and trigonometrical series --
Linear differential equations --
Integral equations --
pt. II. The transcendental functions. The gamma function --
The zeta function of Riemann --
The hypergeometric function --
Legendre functions --
The confluent hypergeometric function --
Bessel functions --
The equations of mathematical physics --
Mathieu functions --
Elliptic functions. General theorems and the Weierstrassian functions --
The theta functions --
The Jacobian elliptic functions --
Ellipsoidal harmonics and Lamé's equation.
Responsibility: By E.T. Whittaker and G.N. Watson.
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