{"product_id":"9783030006402","title":"An Introduction to the Language of Mathematics","description":"\u003ch1\u003eAn Introduction to the Language of Mathematics\u003c\/h1\u003e \u003ch2\u003eMynard, Frédéric\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis is a textbook for an undergraduate mathematics major transition course from technique-based mathematics (such as Algebra and Calculus) to proof-based mathematics. It motivates the introduction of the formal language of logic and set theory and develops the basics with examples, exercises with solutions and exercises without. It then moves to a discussion of proof structure and basic proof techniques, including proofs by induction with extensive examples. An in-depth treatment of relations, particularly equivalence and order relations completes the exposition of the basic language of mathematics. The last chapter treats infinite cardinalities. An appendix gives some complement on induction and order, and another provides full solutions of the in-text exercises. \u003c\/p\u003e\n\n\u003cp\u003eThe primary audience is undergraduate mathematics major, but independent readers interested in mathematics can also use the book for self-study.\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-12-10\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030006402\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-00641-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 185\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":46547990806668,"sku":"9783030006402","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030006402.jpg?v=1776028783","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783030006402","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}