Muller J Concepts of Function Theory 2025
General:
Name: Muller J Concepts of Function Theory 2025
Format: pdf
Size: 22.48 MB
Book:
Title: Concepts of Function Theory: Real and Complex Analysis of one Variable
Author: Jürgen Müller
Language: angielski
Year: 2025
Subjects: Science & Technology, Mathematics, Mathematical Analysis, Mathematical Analysis – General & Miscellaneous
Publisher: Springer-Verlag New York, LLC
ISBN: 9783662691151
Total pages: 282
Description:
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.
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