Holomorphic Functions in the Plane and n-dimensional Space
Publication year: 2008
ISBN: 978-3-7643-8272-8
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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.
Subject: Mathematics and Statistics, Clifford algebra, Clifford analysis, Complex analysis, holomorphic function, orthogonal decomposition
