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

Door David Hestenes e.a.

Categorie
Algemeen wetenschap
Boeknummer
#343174-ZA30
Titel
Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics
Auteur
Hestenes, David & Garret Sobczyk
Boektype
Gebonden hardcover
Uitgeverij
Dordrecht : Reidel
Jaar van uitgave
1984
ISBN10
9027716730
ISBN13
9789027716736
Taal
Engels
Beschrijving
Original boards, illustrated with numerous equations, 8vo. Fundamental Theories of Physics.
Samenvatting
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 geometri... (Lees verder)c 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.
Pagina's
314
Conditie
Goed — Spine discoloured, top cut slightly foxed, name in pen on title page.
Prijs
€ 100,00

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