Holomorphic Functions in the Plane and N-Dimensional Space |
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Author:
| Habetha, Klaus Gürlebeck, Klaus Sprößig, Wolfgang |
ISBN: | 978-3-7643-8271-1 |
Publication Date: | Nov 2007 |
Publisher: | Springer Basel AG
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Book Format: | Paperback |
List Price: | USD $74.99USD $54.99 |
Book Description:
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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...
More 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.