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

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