Hypercomplex Analysis: New Perspectives and Applications

Hypercomplex Analysis: New Perspectives and Applications
Author :
Publisher : Springer
Total Pages : 228
Release :
ISBN-10 : 9783319087719
ISBN-13 : 3319087711
Rating : 4/5 (711 Downloads)

Book Synopsis Hypercomplex Analysis: New Perspectives and Applications by : Swanhild Bernstein

Download or read book Hypercomplex Analysis: New Perspectives and Applications written by Swanhild Bernstein and published by Springer. This book was released on 2014-10-10 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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