Holomorphic Functions in the Plane and n-dimensional Space

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...

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Bibliographic Details
Main Authors: Gürlebeck, Klaus, Habetha, Klaus (Author), Sprößig, Wolfgang (Author)
Format: eBook
Language:English
Published: Basel Birkhäuser 2008, 2008
Edition:1st ed. 2008
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Description
Summary: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
Physical Description:XIV, 394 p online resource
ISBN:9783764382728