An Introduction to Complex Function Theory (Undergraduate Texts in Mathematics) - Hardcover

Buch 82 von 165: Undergraduate Texts in Mathematics

Palka, Bruce P.

 
9783540974277: An Introduction to Complex Function Theory (Undergraduate Texts in Mathematics)

Inhaltsangabe

This book provides an introduction to the theory of analytic functions of a single complex variable. While presupposing in its readership a degree of mathematical maturity, it insists on no formal prerequisites beyond a sound knowledge of calculus. Starting from basic definitions, the text develops the ideas of complex analysis to the point where such landmarks of the subject as Cauchy's theorem of Mittag-Leffler can be treated without side-stepping any issues of rigor. The emphasis throughout is a geometric one, most pronounced in the extensive chapter dealing with conformal mapping, which amounts essentially to a "short course" in that important area of complex function theory. Each chapter concludes with a selection of exercises, ranging from straightforward computations to problems of a more conceptual and thought-provoking nature.

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9781461269670: An Introduction to Complex Function Theory (Undergraduate Texts in Mathematics)

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ISBN 10:  1461269679 ISBN 13:  9781461269670
Verlag: Springer, 2012
Softcover