Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable

Lars Ahlfors

ISBN 10: 1470467674 / ISBN 13: 9781470467678

Verlag: American Mathematical Society, 2022

2022. 3rd Edition. Paperback. . . . . . Bestandsnummer des Verkäufers V9781470467678

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor: Lars Ahlfors

Bibliografische Details

Titel: Complex Analysis: An Introduction to the ...
Verlag: American Mathematical Society
Erscheinungsdatum: 2022
Einband: Softcover
Zustand: New
Auflage: 3. Auflage