Overview
- First textbook on elementary level introducing to classical complex analysis and its generalizations at the same time
- Includes supplementary material: sn.pub/extras
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About this book
Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford algebras. During the last 30 years the so-called quaternionic and Clifford or hypercomplex analysis successfully developed to a powerful theory with many applications in analysis, engineering and mathematical physics. This textbook introduces both to classical and higher-dimensional results based on a uniform notion of holomorphy. Historical remarks, lots of examples, figures and exercises accompany each chapter.
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Table of contents (4 chapters)
Reviews
The present book is very well and enthusiastically written and in many details marvellously elaborated. This is in particular the case for the typographically exposed historical remarks including photos of some of the main initiators of the number systems etc. involved. [...]
This book is recommended as a text book for basic courses in complex analysis and also for self studies.
Review of the German edition
Heinrich Begehr (Berlin), Zentralblatt MATH
Authors and Affiliations
Bibliographic Information
Book Title: Holomorphic Functions in the Plane and n-dimensional Space
Authors: Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig
DOI: https://doi.org/10.1007/978-3-7643-8272-8
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2008
Softcover ISBN: 978-3-7643-8271-1Published: 16 November 2007
eBook ISBN: 978-3-7643-8272-8Published: 23 December 2007
Edition Number: 1
Number of Pages: XIV, 394
Additional Information: Original German edition published in the series: Grundstudium Mathematik
Topics: Functions of a Complex Variable, Integral Transforms, Operational Calculus, Potential Theory, Analysis