Functions of a Complex Variable (Classic Reprint) - Softcover

Inhaltsangabe

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.

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