An Introduction to Complex Function Theory

Bruce P. Palka

ISBN 10: 1461269679 / ISBN 13: 9781461269670

Edité par Springer, Humana, 2012

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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.

N° de réf. du vendeur 9781461269670

Détails bibliographiques

• Titre: An Introduction to Complex Function Theory
• Éditeur: Springer, Humana
• Date de parution: 2012
• Langue: anglais
• ISBN à 10 chiffres: 1461269679
• ISBN à 13 chiffres: 9781461269670
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 32 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 32 millimètres de profondeur
• Poids: 873 grammes

A propos de ce titre

Synopsis

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.

Présentation de l'éditeur

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.