Holomorphic Functions in the Plane and n-dimensional Space

Gürlebeck, Klaus; Habetha, Klaus; Sprößig, Wolfgang

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.

Details

Published by: Birkhäuser

Publication Date: 2007-11-16

Format: Paperback

ISBN-13: 9783764382711

DOI: 10.1007/978-3-7643-8272-8

Dimensions: 244cm x170cm

Pages: 394