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

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

Published $1920$.


Subject Matter


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