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Book synopsis

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.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. §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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Holomorphic Functions in the Plane and n-dimensional Space
• Author: Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig
• Language: English
• Binding: Paperback
• Number of pages: 394
• EAN: 9783764382711
• ISBN: 3764382716
• ID: 01716954
• Publisher: Birkhauser Verlag AG
• Weight: 708 g
• Dimensions: 244 × 170 × 23 mm
• Date of publishing: 16. November 2007

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