Book:E.T. Whittaker/A Course of Modern Analysis/Third Edition

E.T. Whittaker and G.N. Watson: A Course of Modern Analysis (3rd Edition)

Published $\text {1920}$

Subject Matter

• Analysis

Contents

Preface

Part 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

Part 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 Lamé's Equation

Appendix

List of authors quoted

General index

Further Editions

• 1902: E.T. Whittaker: A Course of Modern Analysis
• 1915: E.T. Whittaker and G.N. Watson: A Course of Modern Analysis (2nd ed.)
• 1927: E.T. Whittaker and G.N. Watson: A Course of Modern Analysis (4th ed.)