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 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.

1131766595
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 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.

54.99 In Stock
Holomorphic Functions in the Plane and n-dimensional Space

Holomorphic Functions in the Plane and n-dimensional Space

Holomorphic Functions in the Plane and n-dimensional Space

Holomorphic Functions in the Plane and n-dimensional Space

Paperback(2008)

$54.99 
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Overview

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.


Product Details

ISBN-13: 9783764382711
Publisher: Birkh�user Basel
Publication date: 12/20/2007
Edition description: 2008
Pages: 394
Product dimensions: 6.69(w) x 9.61(h) x 0.04(d)

Table of Contents

Numbers.- Functions.- Integration and integral theorems.- Series expansions and local behavior.
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