@import url(/css/us/style1.css); @import url(/css/us/searchResult1.css); @import url(/css/us/articles.css); @import url(/css/us/artHome1.css); Advanced Search Home Help IN free articles only all articles this publication Automotive Sports 10,000,000 articles - not found on any other search engine. FindArticles American Mathematical Monthly, The Aug/Sep 2003 Content provided in partnership with 10,000,000 articles Not found on any other search engine. Featured Titles for ASA News ASEE Prism Academe African American Review ... View all titles in this topic Hot New Articles by Topic Automotive Sports Top Articles Ever by Topic Automotive Sports Quantum Calculus American Mathematical Monthly, The Aug/Sep 2003 by Roy, Ranjan Save a personal copy of this article and quickly find it again with Furl.net. It's free! Save it. Quantum Calculus. By Victor Kac and Pokman Cheung. Springer-Verlag, New York, 2002, ix + 112 pp., ISBN 0-387-95341-8, $29.95. The subject of Quantum Calculus has a venerable history of at least four hundred years and has ramifications and connections in many areas of pure and applied mathematics. The subject arises when, instead of taking the limit to obtain a derivative, one simply studies the quotient itself. Thus, consider the quotient The first significant result in q-series appeared in the solution by Euler of a combinatorial problem. As is well known, Euler was deeply interested in and contributed to every area of mathematics of his day. His reaction to any mathematical stimulus was often almost immediate. In this case, the stimulus came in the form of two problems in a letter of September 1740 from Phlippe Naude, a mathematician of French origin who then worked in Berlin. The first problem posed by Naude was to find the number of ways in which a given positive integer could be expressed as the sum of a fixed number of distinct positive integers; the second one dropped the requirement that the integers in the sum be distinct. | |
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