Hypercomplex analysis
new perspectives and applications
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Publication
2014 - Birkhauser, Cham, Switzerland
Language
English
Word Count
56,750 words, Guess
Page Count
227 pages
Identifiers
- Open LibraryOL30390149M
- ISBN-139783319087702
- ISBN-103319087703
- OCLC Control Number881450146
- Library of Congress Control Number2014952606
Classifications
- DDC004
- LCCQA331.7 .H976 2014
Description
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. --
Subjects
Series Statement
- Trends in mathematics
Other Editions
- Hypercomplex analysis: new perspectives and applications
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