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Advances in Analysis and Geometry: New Developments Using Clifford Algebras (Trends in Mathematics) - Hardcover
Synopsis
The study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool lies in the heart of Clifford analysis. The focus is on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. At the present time, the study of Clifford algebra and Clifford analysis has grown into a major research field. There are two sources of papers in this collection. One is from a satellite conference to the ICM 2002 in Beijing, held August 15-18 at the University of Macau; and the other stems from invited contributions by top-notch experts in the field. All articles were strictly refereed and contain unpublished new results. Some of them are incorporated with comprehensive surveys in the particular areas that the authors work in.
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- PublisherBirkhäuser
- Publication date2004
- ISBN 10 3764366613
- ISBN 13 9783764366612
- BindingHardcover
- LanguageEnglish
- Number of pages391
- EditorQian Tao, Hempfling Thomas, McIntosh Alan, Sommen Franciscus
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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
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Springer, Basel, Birkhäuser Basel, Birkhäuser Apr 2004, 2004
ISBN 10: 3764366613
ISBN 13: 9783764366612
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Buch. Condition: 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. Seller Inventory # 9783764366612
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Advances in Analysis and Geometry : New Developments Using Clifford Algebras
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Buch. Condition: 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. Seller Inventory # 9783764366612
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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 (Trends in Mathematics)
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Advances in Analysis and Geometry: New Developments Using Clifford Algebras (Trends in Mathematics)
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