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Hypercomplex Analysis: New Perspectives and Applications by Swanhild Bernstein

Hypercomplex Analysis: New Perspectives and Applications

by Swanhild Bernstein
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Book cover type: Hardcover
  • ISBN13: 9783319087702
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 227
  • Original Price: EUR 99.99
  • Language: English
  • Edition: 2014
  • Item Weight: 508 grams
  • BISAC Subject(s): Mathematical Analysis, Group Theory, and Computer Science

From the Back Cover

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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