{"product_id":"9789814596114","title":"Basic Language Of Mathematics","description":"\u003cp\u003eThis book originates as an essential underlying component of a modern, imaginative three-semester honors program (six undergraduate courses) in Mathematical Studies. In its entirety, it covers Algebra, Geometry and Analysis in One Variable.\u003c\/p\u003e\u003cp\u003eThe book is intended to provide a comprehensive and rigorous account of the concepts of set, mapping, family, order, number (both natural and real), as well as such distinct procedures as \u003ci\u003eproof by induction\u003c\/i\u003e and \u003ci\u003erecursive definition\u003c\/i\u003e, and the interaction between these ideas; with attempts at including insightful notes on historic and cultural settings and information on alternative presentations. The work ends with an excursion on infinite sets, principally a discussion of the mathematics of Axiom of Choice and often very useful equivalent statements.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eSets\u003c\/li\u003e\n\u003cli\u003eMappings\u003c\/li\u003e\n\u003cli\u003eProperties of Mappings\u003c\/li\u003e\n\u003cli\u003eFamilies\u003c\/li\u003e\n\u003cli\u003eRelations\u003c\/li\u003e\n\u003cli\u003eOrdered Sets\u003c\/li\u003e\n\u003cli\u003eCompletely Ordered Sets\u003c\/li\u003e\n\u003cli\u003eInduction and Recursion\u003c\/li\u003e\n\u003cli\u003eThe Natural Numbers\u003c\/li\u003e\n\u003cli\u003eFinite Sets\u003c\/li\u003e\n\u003cli\u003eFinite Sums\u003c\/li\u003e\n\u003cli\u003eCountable Sets\u003c\/li\u003e\n\u003cli\u003eSome Algebraic Structures\u003c\/li\u003e\n\u003cli\u003eThe Real Numbers: Complete Ordered Fields\u003c\/li\u003e\n\u003cli\u003eThe Real Number System\u003c\/li\u003e\n\u003cli\u003eThe Real Numbers: Existence\u003c\/li\u003e\n\u003cli\u003eInfinite Sets\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Undergraduate and graduate students in mathematics; Mathematicians.\u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47150412300528,"sku":"9789814596114","price":37.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814596114_p0.jpg?v=1763691268","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814596114","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}