Book: Holomorphic Functions in the Plane and nD Space


Holomorphic Functions in the Plane and n-dimensional Space


Gürlebeck, K., Bauhaus University
Weimar, Germany / Habetha, K.,
RWTH Aachen, Germany / Sprößig, W., TU
Freiberg, Germany


Complex analysis nowadays has higherdimensional analoga: the algebra of complex numbers is replaced then by the noncommutative 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 higherdimensional results based on a uniform notion of holomorphy. Historical remarks, lots of examples, figures and exercises accompany each chapter.
The enclosed CD-ROM contains an extensive literature database and a Maple package with comments and procedures of tools and methods explained in the book.


2008. XIII, 394 p. With CD-ROM. Softcover
EUR 34.90 / CHF 59.90 / ISBN 978-3-7643-8271-1

Source: Birkhauser Mathematics Autumn 2008

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