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

Palka, Bruce P. P.

ISBN 10: 1461269679 / ISBN 13: 9781461269670

Verlag: Springer, 2012

Beschreibung

Bestandsnummer des Verkäufers I-9781461269670

Bibliografische Details

• Titel: An Introduction to Complex Function Theory (Undergraduate Texts in Mathematics)
• Verlag: Springer
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 1461269679
• ISBN-13: 9781461269670
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. Starting from basic definitions, the text slowly and carefully develops the ideas of complex analysis to such a degree that Cauchy's theorem, the Riemann mapping theorem, and the theorem of Mittag-Leffler can be treated without side-stepping any issues of rigor. Each chapter concludes with a wide selection of exercises.

Reseña del editor

This book provides a rigorous yet elementary 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 slowly and carefully develops the ideas of complex analysis to the point where such landmarks of the subject as Cauchy's theorem, the Riemann mapping theorem, and the theorem of Mittag-Leffler can be treated without sidestepping 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 wide selection of exercises, ranging from straightforward computations to problems of a more conceptual and thought-provoking nature.