Holomorphic Functions in the Plane and n-dimensional Space

Authors: Gürlebeck, Klaus, Habetha, Klaus, Sprößig, Wolfgang

  • First textbook on elementary level introducing to classical complex analysis and its generalizations at the same time

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eBook $44.99
price for USA (gross)
  • ISBN 978-3-7643-8272-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-7643-8271-1
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About this Textbook

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.

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


Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-7643-8272-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-7643-8271-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Holomorphic Functions in the Plane and n-dimensional Space
Authors
Copyright
2008
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8272-8
DOI
10.1007/978-3-7643-8272-8
Softcover ISBN
978-3-7643-8271-1
Edition Number
1
Number of Pages
XIV, 394
Additional Information
Original German edition published in the series: Grundstudium Mathematik
Topics