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Introductory Complex Analysis (Dover Books on Mathematics) by Richard Allan Silverman; Aleksei Ivanovich Markushevich is a nonfiction available to read on EtoBox.

What is Introductory Complex Analysis (Dover Books on Mathematics) about?

Introductory Complex Analysis is a scaled-down version of A. I. Markushevich's masterly three-volume "Theory of Functions of a Complex Variable." Dr. Richard Silverman, the editor and translator of the original, has prepared this shorter version expressly to meet the needs of a one-year graduate or undergraduate course in complex analysis. In his selection and adaptation of the more elementary topics from the original larger work, he was guided by a brief course prepared by Markushevich himself. The book begins with fundamentals, with a definition of complex numbers, their geometric representation, their algebra, powers and roots of complex numbers, set theory as applied to complex analysis, and complex functions and sequences. The notions of proper and improper complex numbers and of infinity are fully and clearly explained, as is stereographic projection. Individual chapters then cover limits and continuity, differentiation of analytic functions, polynomials and rational functions, Mobius transformations with their circle-preserving property, exponentials and logarithms, complex integrals and the Cauchy theorem , complex series and uniform convergence, power series, Laurent serie

Who reads Introductory Complex Analysis (Dover Books on Mathematics)?

Author

Richard Allan Silverman; Aleksei Ivanovich Markushevich

Publisher

Dover Publications, Incorporated

Published

1984

Language

EN

ISBN

9780486646862

Category

nonfiction

Subjects

Mathematics, Stem

Updated

2026-03-24