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Sources in the development of mathematics : infinite series and products from the fifteenth to the twenty-first century /
"The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torrice...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2011.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment"-- |
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| Descripción Física: | 1 online resource (xix, 974 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 943-958) and index. |
| ISBN: | 9781139127523 1139127527 9780521114707 0521114705 9781139136228 1139136224 9781139114691 1139114697 9781139116862 113911686X 1316086585 9781316086582 1139635514 9781139635516 1283295849 9781283295840 1139122606 9781139122603 9786613295842 6613295841 0511844190 9780511844195 1139112503 9781139112505 |