| Holomorphic Functions in the Plane and n-Dimensional Space [With CDROM] 2008 Edition Contributor(s): Gürlebeck, Klaus (Author), Habetha, Klaus (Author), Sprößig, Wolfgang (Author) |
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ISBN: 3764382716 ISBN-13: 9783764382711 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Paperback Published: November 2007 Annotation: 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. The enclosed CD-ROM contains an extensive literature database and a Maple package with comments and procedures of tools and methods explained in the book. |
| Additional Information |
| BISAC Categories: - Mathematics | Functional Analysis - Mathematics | Mathematical Analysis - Mathematics | Vector Analysis |
| Dewey: 519.4 |
| LCCN: 2007933912 |
| Physical Information: 0.82" H x 6.82" W x 9.43" (1.78 lbs) 394 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |