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. © 2008 Birkhäuser Verlag AG.
CITATION STYLE
Gürlebeck, K., Habetha, K., & Sprößig, W. (2008). Holomorphic functions in the plane and n-dimensional space. Holomorphic Functions in the Plane and n-dimensional Space (pp. 1–394). Birkhauser Verlag Basel. https://doi.org/10.1007/978-3-7643-8272-8
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