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Holomorphic Functions in the Plane and N-Dimensional Space
Klaus Gürlebeck; Klaus Habetha; Wolfgang Sprößig (Autor)
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Birkhäuser
· Tapa Blanda
Holomorphic Functions in the Plane and N-Dimensional Space - Klaus Gürlebeck; Klaus Habetha; Wolfgang Sprößig
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Reseña del libro "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.
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