Konzepte Der Funktionentheorie: Real and Complex Analysis of One Variable - Couverture souple

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Müller, Jürgen

 
9783662691144: Konzepte Der Funktionentheorie: Real and Complex Analysis of One Variable
Couverture souple
ISBN 10 : 3662691140 ISBN 13 : 9783662691144
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2025

Synopsis

This textbook presents a direct path from real analysis of one variable to function theory. Classical topics of one-dimensional real analysis, such as differential and integral calculus, are largely presented from a complex perspective. The goal is a self-contained exposition extending to the Runge theorems and the dynamics of entire functions. Short sections appended to each chapter on concepts of function theory provide glimpses into higher-dimensional analysis and an impression of its universal significance for mathematics. The book is structured so that parts can also serve as a basis for a seminar.

Thus, this fascinating area of mathematics becomes accessible to students whose programs do not focus on mathematics and for whom a classical introduction to function theory would be too time-consuming. This book enables them to take a step into complex analysis, through which they can recognize a multitude of connections that remain hidden in real analysis.

The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Prof. Dr. Jürgen Müller is a lecturer in the Department of Mathematics at the University of Trier. He conducts research in the field of complex analysis of one variable, focusing particularly on approximation in the complex domain. His motivation for writing this textbook stemmed from the idea of demonstrating a direct approach to function theory from the fundamentals of analysis, thereby enabling an immediate entry into the theory.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'édition
2025
Langue
anglais
ISBN 10 
3662691140
ISBN 13 
9783662691144
Reliure
Broché
Nombre de pages
274
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