{"product_id":"the-art-of-proof-matthias-beck-9781441970220","title":"The Art of Proof: Basic Training for Deeper Mathematics","description":"\u003ci\u003eThe Art of Proof\u003c\/i\u003e is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting. These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Matthias Beck, Ross Geoghegan\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1441970223\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781441970220\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/31\/2010\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 182\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.27lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 10.00h x 7.00w x 0.50d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 04\/01\/2011","brand":"Matthias Beck","offers":[{"title":"Hardcover","offer_id":43935051514111,"sku":"9781441970220","price":39.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_3b222ee2-0ce0-4187-8321-ff19e67f91ed.jpg?v=1681417570","url":"https:\/\/www.whiterainbookhouse.com\/products\/the-art-of-proof-matthias-beck-9781441970220","provider":"WR Book House","version":"1.0","type":"link"}