{"product_id":"nonstandard-analysis-for-the-working-mathematician-9789401776240","title":"Nonstandard Analysis for the Working Mathematician","description":"\u003cp\u003e • Author(s): Peter A. Loeb\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Game Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eStarting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a 'secret weapon' by those who know the technique.\u003c\/p\u003e\u003cp\u003eThis book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory. The first chapter is designed to facilitate the beginner in learning this technique by starting with calculus and basic real analysis. The second chapter provides the reader with the most important tools of nonstandard analysis: the transfer principle, Keisler's internal definition principle, the spill-over principle, and saturation. The remaining chapters of the book study different fields for applications; each begins with a gentle introduction before then exploring solutions to open problems.\u003c\/p\u003e\u003cp\u003eAll chapters within this second edition have been reworked and updated, with several completely new chapters on compactifications and number theory. \u003ci\u003eNonstandard Analysis for the Working Mathematician\u003c\/i\u003e will be accessible to both experts and non-experts, and will ultimately provide many new and helpful insights into the enterprise of mathematics.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274957840535,"sku":"9789401776240","price":7345.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9789401776240.webp?v=1769281449","url":"https:\/\/atlanticbooks.com\/products\/nonstandard-analysis-for-the-working-mathematician-9789401776240","provider":"Atlantic Books","version":"1.0","type":"link"}