Title 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 / by E.T. Whittaker and G.N. Watson.

Imprint

Cambridge [England] : University Press, 1927.

Location	Call Number	Status
Monograph Collection	QA401 .W58 1915	AVAILABLE

Description	608 pages : diagrams ; 27 cm
Content	text txt
Media	unmediated n
Carrier	volume nc
Edition	4th ed.
Note	First edition, 1902.
	"List of authors quoted: p. [591]-594.
Bibliography	Includes bibliographical references and indexes.
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.
Subject(s)	Series, Infinite.
	Functions.
	Harmonic analysis.
Alternate Author	Watson, G. N. (George Neville), 1886-1965, author.