Elements of the Theory of Functions of a Complex Variable: With Especial Reference to the Methods of Riemann (Classic Reprint) - Hardcover

H. Durège

Hardcover

ISBN 10: 0656847026 ISBN 13: 9780656847020

Publisher: Forgotten Books, 2018

Synopsis

Explore the foundations of complex analysis with a rigorous, classroom‑tested guide to functions of a complex variable. This edition emphasizes geometric intuition, analytic structure, and the beauty of Riemann’s ideas as they apply to theory and practice.

From representing complex quantities on the plane to tracing how multivalued functions unfold on Riemann surfaces, this work provides a detailed map of the subject. It covers the core tools—derivatives, analytic continuation, and contour ideas—alongside a thorough treatment of integrals, branch points, and the special roles of logarithmic and exponential functions. The result is a solid framework for understanding how complex functions behave in classic and modern contexts.

• Learn the geometric representation of complex numbers and the basics of complex operations
• Follow the development of multivalued functions, branch points, and Riemann surfaces
• Understand complex integrals, boundary values, and the impact of singularities
• Study key topics such as logarithmic/exponential behavior and periodicity on complex domains

Ideal for readers seeking a deep, methodical treatment of complex variables and the theory behind Riemann’s methods.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0656847026
• ISBN 13: 9780656847020
• Binding: Hardcover
• Number of pages: 306