Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics

Hestenes, David & Garret Sobczyk

ISBN 10: 9027716730 ISBN 13: 9789027716736
Verlag: Dordrecht : Reidel, 1984
Gebraucht Hardcover

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Original boards, illustrated with numerous equations, 8vo. Fundamental Theories of Physics.; Spine discoloured, top cut slightly foxed, name in pen on title page. Bestandsnummer des Verkäufers 343174-ZA30

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Matrix algebra has been called "the arithmetic of higher mathematics" [Be]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called 'Clifford Algebra', though we prefer the name 'Geometric Algebm' suggested by Clifford himself. Many distinct algebraic systems have been adapted or developed to express geometric relations and describe geometric structures. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quatemions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms. Each of these geometric algebras has some significant advantage over the others in certain applications, so no one of them provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas.

Über die Autorin bzw. den Autor: David Hesteness is awarded the Oersted Medal for 2002.
The Oersted Award recognizes notable contributions to the teaching of physics. It is the most prestigious award conferred by the American Association of Physics Teachers.

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Titel: Clifford Algebra to Geometric Calculus: A ...
Verlag: Dordrecht : Reidel
Erscheinungsdatum: 1984
Einband: Hardcover
Zustand: Good

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Hestenes, D.; Sobczyk, Garret
Verlag: Springer, 1984
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Matrix algebra has been called 'the arithmetic of higher mathematics' [Be]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called 'Clifford Algebra', though we prefer the name 'Geometric Algebm' suggested by Clifford himself. Many distinct algebraic systems have been adapted or developed to express geometric relations and describe geometric structures. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quatemions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms. Each of these geometric algebras has some significant advantage over the others in certain applications, so no one of them provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas. Artikel-Nr. 9789027716736

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