Holomorphic Functions in the Plane and n-dimensional Space
1 edition
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Publication
2007-12-20 - Birkhäuser
Language
English
Word Count
98,500 words, Guess
Page Count
394 pages
Physical Format
Hardcover
Identifiers
- Internet Archiveholomorphicfunct00grle
- Internet Archiveholomorphicfunct00grle_257
- Internet Archiveholomorphicfunct0000gurl
- ISBN-103764382716
- ISBN-139783764382711
and 5 more
- Library of Congress Control Number2007933912
- OCLC Control Number173239493
- OCLC Control Number228353975
- Better World Books9783764382711
- Open LibraryOL12867105M
Classifications
- LCCQA331 .G788 2008
- LCCQA331-355QA307QA432Q
Description
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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