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OverviewThe 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. Full Product DetailsAuthor: Giuseppe Peano , L.C. KannenbergPublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Edition: 2000 ed. Dimensions: Width: 16.10cm , Height: 1.50cm , Length: 24.00cm Weight: 0.450kg ISBN: 9780817641269ISBN 10: 0817641262 Pages: 150 Publication Date: 29 October 1999 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviews<p> Giuseppe Peano (1858-1932) who distinguished himself in several branches of mathematics, was among the earliest ones to duly appreciate Grassmann's algebraic ideas. <p>--Zentralblatt Math. Giuseppe Peano (1858-1932) who distinguished himself in several branches of mathematics, was among the earliest ones to duly appreciate Grassmann's algebraic ideas. --Zentralblatt Math. Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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