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Advances in Analysis and Geometry: New Developments Using Clifford Algebras (Trends in Mathematics) - Softcover
Inhaltsangabe
This volume is dedicated to analytic and geometric aspects of Clifford analysis and its applications. There are two sources of papers in this collection. One is a satellite conference to the ICM 2002 in Beijing, held August 15-18 at the University of Macau; and the other source are invited contributions by experts in the field. All articles were strictly refereed and contain previously unpublished new results, some include comprehensive surveys. Including applications to articificial intelligence, number theory, numerical analysis and physics, the book will be a unique resource for postgraduates and researchers in a large number of disciplines.
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At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. This book collects refereed papers from a satellite conference to the ICM 2002, plus invited contributions. All articles contain unpublished new results.
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- VerlagBirkhäuser
- Erscheinungsdatum2012
- ISBN 10 3034895895
- ISBN 13 9783034895897
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten396
- HerausgeberQian Tao, Hempfling Thomas, McIntosh Alan, Sommen Franciscus
- Kontakt zum HerstellerNicht verfügbar
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Advances in Analysis and Geometry : New Developments Using Clifford Algebras
Verlag:
Birkhäuser Basel, Birkhäuser Basel, 2012
ISBN 10: 3034895895
ISBN 13: 9783034895897
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - On the 16th of October 1843, Sir William R. Hamilton made the discovery of the quaternion algebra H = qo + qli + q2j + q3k whereby the product is determined by the defining relations 2 2 1 Z =] = - , ij = -ji = k. In fact he was inspired by the beautiful geometric model of the complex numbers in which rotations are represented by simple multiplications z ----t az. His goal was to obtain an algebra structure for three dimensional visual space with in particular the possibility of representing all spatial rotations by algebra multiplications and since 1835 he started looking for generalized complex numbers (hypercomplex numbers) of the form a + bi + cj. It hence took him a long time to accept that a fourth dimension was necessary and that commutativity couldn't be kept and he wondered about a possible real life meaning of this fourth dimension which he identified with the scalar part qo as opposed to the vector part ql i + q2j + q3k which represents a point in space. Artikel-Nr. 9783034895897
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Advances in Analysis and Geometry: New Developments Using Clifford Algebras (Trends in Mathematics)
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