Functions of a Complex Variable (Classic Reprint)

Thomas M. Macrobert

ISBN 10: 1332786588 / ISBN 13: 9781332786589

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book provides a comprehensive and accessible guide to the theory of functions of a complex variable. Complex numbers are introduced geometrically, and the ideas of functions, limits, continuity, and differentiation are developed logically. The book places particular emphasis on the concept of a holomorphic function, and explores the important topics of simply-connected regions, inverse functions, and harmonic functions. The author's clear and rigorous approach makes this book an ideal resource for students and researchers in mathematics and related fields. Its thorough treatment of complex analysis provides a solid foundation for further study and applications in areas such as fluid mechanics, heat transfer, and electromagnetism. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781332786589_0

Bibliographic Details

• Title: Functions of a Complex Variable (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1332786588
• ISBN 13: 9781332786589
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Calculus

About this title

Synopsis

Master the tools of complex analysis with a clear, example-driven guide. This classic text introduces the theory of complex variables and its key techniques, including analytic continuation, contour integration, and special functions, with practical illustrations and worked examples.

The book surveys essential topics from complex numbers to holomorphic functions, integration, series, and elliptic functions. It blends rigorous foundations with accessible explanations, and it emphasizes methods useful to applied mathematicians, not just theory for its own sake.

• Clear development of core concepts such as analyticity, conformal mapping, and residues.


• Extensive worked examples and a dedicated collection of miscellaneous problems.


• Coverage of important special functions, including the Gamma and Beta functions, Legendre and Bessel equations, and elliptic functions.


• Connections between theory and applied techniques in differential equations and integral methods.

Ideal for readers of advanced undergraduates and early graduate courses in complex analysis, this edition provides a solid foundation plus practical tools for problem solving in mathematics, physics, and engineering.