Quantum Calculus: Quantum Calculus, Infinitesimal Calculus, Limit of a Function, Planck's Constant - Tapa blanda

Quantum Calculus

Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. Quantum calculusis equivalent to traditional infinitesimal calculus without the notionof limits. It defines 'q-calculus' and 'h-calculus'. h ostensibly standsfor Planck's constant while q stands for quantum.Infinitesimal calculuswas independently invented by both Leibniz and Newton in the 1660sdrawing on the work of such mathematicians as Barrow and Descartes. Itconsisted of differential calculus and integral calculus, used for thetechniques of differentiation and integration respectively. The use ofinfinitesimal quantities in early calculus was not proven to berigorous, and was fiercely criticized by a number of authors, mostnotably Michel Rolle and Bishop Berkeley. Several mathematiciansincluding Maclaurin, attempted to prove the soundness of usinginfinitesimals, but it would be 150 years later, due to the work ofCauchy and Weierstrass, where a means was finally found to avoid mere'notions' of infinitely small quantities, that the foundations ofdifferential and integral calculus were made firm. In his workWeierstrass formalized the concept of limit which eliminated the needfor infinitesimals.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 116 pp. Englisch. Nº de ref. del artículo: 9786131118586

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