Concepts of Function Theory

Real and Complex Analysis of one Variable

von Jürgen Müller

274 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Mathematics Study Resources
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein
• ISBN: 9783662691144
• Sprache: Englisch
• Erscheinungsdatum: 02.03.2025
• Größe: 23.5 x 15.5 cm
• Verlag: Springer Berlin