Holomorphic Functions in the Plane and n-dimensional Space
Author : Klaus Gürlebeck
Publisher : Springer Science & Business Media
Total Pages : 394
Release : 2007-12-23
ISBN 10 : 9783764382728
ISBN 13 : 3764382724
Language : EN, FR, DE, ES & NL

Holomorphic Functions in the Plane and n-dimensional Space Book 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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