Functions of a Complex Variable (Classic Reprint) - Hardcover

Thomas S. Fiske

9780332636726: Functions of a Complex Variable (Classic Reprint)

Hardcover

ISBN 10: 0332636720 ISBN 13: 9780332636726

Publisher: Forgotten Books, 2018

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Mastering the Basics of Complex Functions

This concise introduction explains the core ideas of functions of a complex variable. It covers how such functions are defined, represented, and analyzed, with practical definitions and clear examples.

In accessible chapters, you’ll see how complex numbers are used to model functions, how convergence of series works, and how these ideas apply to a broad range of problems in mathematics. The book also highlights key theorems, methods, and tools that underlie more advanced texts and courses.

Foundations: what a function is, independent variables, and one- or multi-valued behavior
Representation: how complex variables are written and graphed, including polar form
Series and convergence: absolute convergence, power series, and uniform convergence
Core theorems and techniques: Cauchy’s theorem, residues, and standard series (Taylor, Laurent, Fourier)

Ideal for students beginning the study of complex analysis and readers seeking a solid introduction to a central area of modern mathematics. This edition ties basic concepts to larger works and classic treatments in the field.

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