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.

Format:

Book

Author/Creator:

Whittaker, E. T. (Edmund Taylor), 1873-1956.

Contributor:

Watson, G. N. (George Neville), 1886-1965.

Language:

English

Subjects (All):

Series, Infinite.

Functions.

Harmonic analysis.

Physical Description:

3 unnumbered pages-608 pages : illustrations ; 27 cm

Edition:

Fourth edition, reprinted.

Place of Publication:

Cambridge [England] : University Press, 1952.

Contents:

pt. I. The Processes of Analysis

I. Complex Numbers

II. The Theory of Convergence

III. Continuous Functions and Uniform Convergence

IV. The Theory of Riemann Integration

V. The fundamental properties of Analytic Functions; Taylor's, Laurent's, and Liouville's Theorems

VI. The Theory of Residues; application to the evaluation of Definite Integrals

VII. The expansion of functions in Infinite Series

VIII. Asymptotic Expansions and Summable Series

IX. Fourier Series and Trigonometrical Series

X. Linear Differential Equations

XI. Integral Equations

pt. II. The Transcendental Functions

XII. The Gamma Function

XIII. The Zeta Function of Riemann

XIV. The Hypergeometric Function

XV. Legendre Functions

XVI. The Confluent Hypergeometric Function

XVII. Bessel Functions

XVIII. The Equations of Mathematical Physics

XIX. Mathieu Functions

XX. Elliptic Functions. General theorems and the Weierstrassian Functions

XXI. The Theta Functions

XXII. The Jacobian Elliptic Functions

XXIII. Ellipsoidal Harmonics and Lame's Equation.

Notes:

"First edition 1902. Fourth edition 1927. Reprinted 1952."

"List of authors quoted" : pages [591]-594.

Bibliographical footnotes.

OCLC:

3129722