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

Hardcover

ISBN 10: 3319087703 ISBN 13: 9783319087702

Publisher: Birkhäuser, 2014

Synopsis

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.

About this title

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.

Edition details

• Publisher: Birkhäuser
• Publication date: 2014
• Language: English
• ISBN 10: 3319087703
• ISBN 13: 9783319087702
• Binding: Hardcover
• Number of pages: 234
• Editor: Bernstein Swanhild, Kähler Uwe, Sabadini Irene, Sommen Frank