Holomorphic Functions in the Plane and n-dimensional Space 1

Vetenskap & teknik

Holomorphic Functions in the Plane and n-dimensional Space

Klaus Grlebeck • Klaus Habetha • Wolfgang Sprig

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394 sidor
2007

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.

Författare: Klaus Grlebeck, Klaus Habetha, Wolfgang Sprig
Format: Pocket/Paperback
ISBN: 9783764382711
Språk: Engelska
Antal sidor: 394
Utgivningsdatum: 2007-11-01
Förlag: Birkhauser Verlag AG