A Course of Modern Analysis: An Introduction to the General Theory of Infinite Series and of Analytic Functions; With an Account of the Principal Transcendental Functions (Classic Reprint) - Hardcover

E. T. Whittaker

Hardcover

ISBN 10: 0331016168 ISBN 13: 9780331016161

Publisher: Forgotten Books, 2018

Synopsis

Mastering the fundamentals of infinite series and analytic functions

This classic text provides a clear, structured path through the theory and applications of convergence, analytic techniques, and special functions. It guides readers from basic series to advanced topics with precise proofs and worked examples.

This edition surveys key ideas in complex analysis, expansions, and transcendental functions, balancing rigorous development with accessible explanations. It builds a solid foundation for students and practitioners who need a dependable reference and a thorough primer on the modern theory.

• Foundations of infinite series, convergence tests, and rearrangements
• Core theorems in analytic functions, including Taylor, Laurent, and Liouville results
• Fourier series, asymptotic expansions, and practical evaluation methods
• Detailed treatment of gamma-function, Legendre and hypergeometric functions, and Bessel functions

Ideal for readers of advanced calculus, complex analysis, and mathematical physics, this book serves as a durable reference and rigorous introduction to the general theory of infinite series and analytic functions.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0331016168
• ISBN 13: 9780331016161
• Binding: Hardcover
• Number of pages: 398