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Advances in Analysis and Geometry: New Developments Using Clifford Algebras (Trends in Mathematics) - Tapa blanda
Sinopsis
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 All articles were strictly refereed and contain previously unpublished new results, some include comprehensive surveys.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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Reseña del editor
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 All articles contain unpublished new results.
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Advances in Analysis and Geometry
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains most recent results and surveys of the state of the art in the disciplineBased on an ICM 2002 Satellite Meeting on Clifford Analysis and Its Applications in MacauAt the heart of Clifford analysis is the study of systems of spec. Nº de ref. del artículo: 4319402
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Advances in Analysis and Geometry
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Springer, Basel, Birkhäuser Basel, Birkhäuser Okt 2012, 2012
ISBN 10: 3034895895
ISBN 13: 9783034895897
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 376 pp. Englisch. Nº de ref. del artículo: 9783034895897
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Advances in Analysis and Geometry : New Developments Using Clifford Algebras
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Birkhäuser Basel, Birkhäuser Basel, 2012
ISBN 10: 3034895895
ISBN 13: 9783034895897
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783034895897
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Advances in Analysis and Geometry: New Developments Using Clifford Algebras (Trends in Mathematics)
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Advances in Analysis and Geometry : New Developments Using Clifford Algebras
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Advances in Analysis and Geometry (Trends in Mathematics)
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Advances in Analysis and Geometry
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Birkhäuser Basel, Birkhäuser Basel Okt 2012, 2012
ISBN 10: 3034895895
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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 396 pp. Englisch. Nº de ref. del artículo: 9783034895897
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Advances in Analysis and Geometry
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Advances in Analysis and Geometry
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Advances in Analysis and Geometry: New Developments Using Clifford Algebras (Trends in Mathematics)
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