Hypercomplex Analysis: New Perspectives and Applications (Trends in Mathematics)

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9783319087702: Hypercomplex Analysis: New Perspectives and Applications (Trends in Mathematics)
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Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics.

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Swanhild Bernstein
Verlag: Springer-Verlag Gmbh Dez 2014 (2014)
ISBN 10: 3319087703 ISBN 13: 9783319087702
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Buchbeschreibung Springer-Verlag Gmbh Dez 2014, 2014. Buch. Buchzustand: Neu. 246x167x19 mm. Neuware - Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics. 227 pp. Englisch. Artikel-Nr. 9783319087702

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