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 (Classic Reprint) - Hardcover

E. T. Whittaker

Hardcover

ISBN 10: 0331781778 ISBN 13: 9780331781779

Publisher: Forgotten Books, 2022

Synopsis

A Course of Modern Analysis offers a rigorous introduction to the general theory of infinite processes and analytic functions.

This edition surveys foundational ideas in complex and real analysis and leads into the study of special functions that appear across mathematics and physics.

The book lays out core concepts in a clear, structured way, starting from the rational and irrational numbers and moving toward complex analysis, with thorough treatment of Legendre and Bessel functions, elliptic and theta functions, and related topics. It emphasizes formal methods, proofs, and the connections between different classes of functions, making it a robust reference for study and research alike.

• Clear development of complex numbers, real numbers, and the foundations of analysis
• In-depth treatment of special functions such as Legendre, Bessel, and elliptic functions
• Techniques for series, integrals, and differential equations, including recurrence relations and transformations
• Connections between analytic functions, infinite processes, and transcendental functions

Ideal for readers of advanced mathematics, including students preparing for higher study or researchers needing a comprehensive reference in analytic function theory and its principal transcendental functions.

Edition details

• Publisher: Forgotten Books
• Publication date: 2022
• Language: English
• ISBN 10: 0331781778
• ISBN 13: 9780331781779
• Binding: Hardcover
• Number of pages: 621