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Holomorphic Functions in the Plane and n-dimensional Space. 2008 ed..
・ISBN 978-3-7643-8271-1 paper EUR 49.99
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| 著者・編者 | Guerlebeck, Klaus / Habetha, Klaus / Sproessig, Wolfgang, |
|---|---|
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2007 |
| ページ数 | 394 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-22952> |
解説
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.