Overview
- Focused on students
- Requires minimum of prerequisites
- More than 50 examples, over 100 exercises
Part of the book series: Compact Textbooks in Mathematics (CTM)
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About this book
This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem.
The book aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text.
This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support.Similar content being viewed by others
Keywords
Table of contents (9 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
About the author
Volker Scheidemann is a professor at the department for informatics and business informatics at Provadis School of International Management and Technology. Before becoming professor, he has been working in information security for about 20 years specializing in applied cryptography and security awareness. He is a renowned speaker at conferences and conducts workshops and trainings together with his wife in their agency Scheidemann Training. He holds an award for competence-oriented teaching for his teaching format ‘Escape Room’. Being an enthusiastic Lindy Hop dancer he borrows his teaching motto from an old Swing classic: “T’ain’t what you do, it’s the way that you do it – that’s what gets results!”
Bibliographic Information
Book Title: Introduction to Complex Analysis in Several Variables
Authors: Volker Scheidemann
Series Title: Compact Textbooks in Mathematics
DOI: https://doi.org/10.1007/978-3-031-26428-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Softcover ISBN: 978-3-031-26427-6Published: 27 April 2023
eBook ISBN: 978-3-031-26428-3Published: 26 April 2023
Series ISSN: 2296-4568
Series E-ISSN: 2296-455X
Edition Number: 2
Number of Pages: XII, 229
Number of Illustrations: 1 b/w illustrations, 4 illustrations in colour
Topics: Functions of a Complex Variable