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Geometric Calculus - According to the Ausdehnungslehre of H. Grassmann (Paperback, Softcover reprint of the original 1st ed. 2000) Loot Price: R2,257
Discovery Miles 22 570
Geometric Calculus - According to the Ausdehnungslehre of H. Grassmann (Paperback, Softcover reprint of the original 1st ed....
Geometric Calculus - According to the Ausdehnungslehre of H. Grassmann (Paperback, Softcover reprint of the original 1st ed....

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Geometric Calculus - According to the Ausdehnungslehre of H. Grassmann (Paperback, Softcover reprint of the original 1st ed. 2000)

Giuseppe Peano; Translated by Lloyd C. Kannenberg

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Loot Price R2,257 Discovery Miles 22 570 | Repayment Terms: R210 pm x 12*

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The geometric calculus, in general, consists in a system of operations on geometric entities, and their consequences, analogous to those that algebra has on the num bers. It permits the expression in formulas of the results of geometric constructions, the representation with equations of propositions of geometry, and the substitution of a transformation of equations for a verbal argument. The geometric calculus exhibits analogies with analytic geometry; but it differs from it in that, whereas in analytic geometry the calculations are made on the numbers that determine the geometric entities, in this new science the calculations are made on the geometric entities themselves. A first attempt at a geometric calculus was due to the great mind of Leibniz (1679);1 in the present century there were proposed and developed various methods of calculation having practical utility, among which deserving special mention are 2 the barycentric calculus of Mobius (1827), that of the equipollences of Bellavitis (1832),3 the quaternions of Hamilton (1853),4 and the applications to geometry 5 of the Ausdehnungslehre of Hermann Grassmann (1844). Of these various methods, the last cited to a great extent incorporates the others and is superior in its powers of calculation and in the simplicity of its formulas. But the excessively lofty and abstruse contents of the Ausdehnungslehre impeded the diffusion of that science; and thus even its applications to geometry are still very little appreciated by mathematicians."

General

Imprint: Springer-Verlag New York
Country of origin: United States
Release date: September 2011
First published: 2000
Authors: Giuseppe Peano
Translators: Lloyd C. Kannenberg
Dimensions: 234 x 156 x 9mm (L x W x T)
Format: Paperback - Trade
Pages: 150
Edition: Softcover reprint of the original 1st ed. 2000
ISBN-13: 978-1-4612-7427-8
Barcode: 9781461274278
Categories: Promotions
Books > Science & Mathematics > Mathematics > History of mathematics
Books > Science & Mathematics > Mathematics > Mathematical foundations
Books > Science & Mathematics > Mathematics > Mathematical foundations > General
LSN: 1-4612-7427-3

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