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

Palka, B.P.

Hardcover

ISBN 10: 354097427X ISBN 13: 9783540974277

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1991

Synopsis

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.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1991
• Language: English
• ISBN 10: 354097427X
• ISBN 13: 9783540974277
• Binding: Hardcover
• Number of pages: 560