{"product_id":"applied-nonstandard-analysis-9780486442297","title":"Applied Nonstandard Analysis","description":"Geared toward upper-level undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques of nonstandard analysis at the outset from a single, powerful construction; then, beginning with a nonstandard construction of the real number system, it leads students through a nonstandard treatment of the basic topics of elementary real analysis, topological spaces, and Hilbert space.\u003cbr\u003eImportant topics include nonstandard treatments of equicontinuity, nonmeasurable sets, and the existence of Haar measure. The focus on compact operators on a Hilbert space includes the Bernstein-Robinson theorem on invariant subspaces, which was first proved with nonstandard methods. Ever mindful of the needs of readers with little background in these subjects, the text offers a straightforward treatment that provides a strong foundation for advanced studies of analysis\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/26\/2005\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780486442297\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 186\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.48lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.50h x 5.42w x 0.43d","brand":"Martin Davis","offers":[{"title":"Default Title","offer_id":36637799547036,"sku":"9780486442297","price":12.71,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/products\/img_ac1c3e41-dc7b-47d6-bf35-47dc54f2a7c4.jpg?v=1603845720","url":"https:\/\/pastforward.org\/products\/applied-nonstandard-analysis-9780486442297","provider":"Past Forward","version":"1.0","type":"link"}