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Holomorphic Functions in the Plane and n-dimensional Space

Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig




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 |  2007-12-23 |  2007-12-23 | File type: PDF

||1 of 1 people found the following review helpful.| Beautiful Overview of Quaternions and Clifford Numbers|By Sunil|This is really a marvelous (largely geometric) introduction to the subject of extending some of the more familiar results in elementary complex analysis to quaternions and Clifford numbers. The approach is both historical and developmental. And the result is a well-organized, self-contained text that is fascinating| |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.

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...

You can specify the type of files you want, for your gadget.Holomorphic Functions in the Plane and n-dimensional Space   |  Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig. A good, fresh read, highly recommended.

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