{"product_id":"infinitesimal-methods-of-mathematical-analysis-paperback-9781898563990","title":"Infinitesimal Methods of Mathematical Analysis (Paperback \/ softback) 9781898563990","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eInfinitesimal Methods of Mathematical Analysis\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eJ S Pinto (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781898563990, Elsevier Science\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 1 May 2004\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e270 pages\u003cbr\u003e23.3 x 15.6 x 1.8 cm, 0.45 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis modern introduction to infinitesimal methods is a translation of the book Métodos Infinitesimais de Análise Matemática by José Sousa Pinto of the University of Aveiro, Portugal and is aimed at final year or graduate level students with a background in calculus. Surveying modern reformulations of the infinitesimal concept with a thoroughly comprehensive exposition of important and influential hyperreal numbers, the book includes previously unpublished material on the development of hyperfinite theory of Schwartz distributions and its application to generalised Fourier transforms and harmonic analysis. This translation by Roy Hoskins was also greatly assisted by the comments and constructive criticism of Professor Victor Neves, of the University of Aveiro.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eCalculus and infinitesimals\u003cbr\u003e Standard infinitesimal methods\u003cbr\u003e Introduction to non-standard analysis\u003cbr\u003e Applications to elementary real analysis\u003cbr\u003e Further developments\u003cbr\u003e Foundations of nonstandard analysis\u003cbr\u003e Hyperfinite analysis\u003cbr\u003e Hyperfinite representation of distributions\u003cbr\u003e Hyperfinite fourier analysis\u003cbr\u003e Appendix A Evolution of the concept of function\u003cbr\u003e Appendix B The theorem of L?s\u003cbr\u003e References.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Real analysis, real variables [\u003ca title=\"See our other books on Real analysis, real variables\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Real%20analysis,%20real%20variables%20%5BPBKB%5D%22\"\u003ePBKB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Woodhead Publishing","offers":[{"title":"Default Title","offer_id":46651782529304,"sku":"9781898563990","price":56.68,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781898563990.jpg?v=1696598710","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/infinitesimal-methods-of-mathematical-analysis-paperback-9781898563990","provider":"Freshly Printed Books","version":"1.0","type":"link"}