Complex Analysis by Lars Ahlfors

Complex Analysis by Lars Ahlfors

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Résumé

Offers a rigorous introduction on an elementary level to the theory of analytic functions of one complex variable. The book covers standard topics in an introductory complex analysis course. The presentation is slanted toward the geometric approach to complex analysis.

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Complex Analysis by Lars Ahlfors

This book is a reprint of the third edition of the classic book on complex analysis. It is a rigorous introduction on an elementary level to the theory of analytic functions of one complex variable and is intended to be used by first year graduate students and advanced undergraduate students. The book covers standard topics in an introductory complex analysis course. The presentation is slanted toward the geometric approach to complex analysis, with a lot of material on conformal mappings, the Riemann mapping theorem, Dirichlet's problem (the existence of a harmonic function with given boundary values), the monodromy theorem, and consideration of the kinds of regions that the Cauchy integral theorem holds for. It also covers such analytic topics as power series, contour integrals, and infinite products. The coverage of special functions is concise but reasonably complete. The presentation is concise, clear, and thorough, and is still fresh today, more than thirty years after its last revision.
Lars Ahlfors
SKU Non disponible
ISBN 13 9781470467678
ISBN 10 1470467674
Titre Complex Analysis
Auteur Lars Ahlfors
Série Ams Chelsea Publishing
État Non disponible
Type de reliure Paperback
Éditeur American Mathematical Society
Année de publication 2022-01-30
Nombre de pages 331
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible