ENGLISH

Holomorphic Functions in the Plane and n-dimensional Space

By Klaus Gürlebeck , Klaus Habetha , Wolfgang Sprößig (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2008
ISBN
978-3-7643-8271-1, 978-3-7643-8272-8
DOI
10.1007/978-3-7643-8272-8
Language
english
Format
PDF
Filesize
4 MB (4394121 bytes)
Edition
1
Pages
394\406
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Functions of a Complex Variable; Integral TransforOperational Calculus; Potential Theory; Analysis

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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