{"product_id":"reverse-mathematics-proofs-from-the-inside-out-paperback","title":"Reverse Mathematics: Proofs from the Inside Out - Paperback","description":"\u003cp\u003eby \u003cb\u003eJohn Stillwell\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eThe first book surveying the history and ideas behind reverse mathematics\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eReverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. In \u003ci\u003eReverse Mathematics\u003c\/i\u003e, John Stillwell offers a historical and representative view, emphasizing basic analysis and giving a novel approach to logic. By using a minimum of mathematical logic in a well-motivated way, \u003ci\u003eReverse Mathematics\u003c\/i\u003e will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\"Reverse mathematics is the mathematical logician's version of zoology or botany, a classification of mathematical theorems in terms of the strength of the axioms needed to prove them. Stillwell carefully situates the field in the broader context of the history of mathematics and its foundations, and does a fine job of making the whole endeavor accessible to a general mathematical audience.\"\u003cb\u003e--Jeremy Avigad, Carnegie Mellon University\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\"Filling an important niche, this book gives readers a good picture of the basics of reverse mathematics while suggesting several directions for further reading and study. It provides a context for the questions investigated by reverse mathematics and makes an extended argument for their significance within contemporary mathematical practice.\"\u003cb\u003e--Denis Hirschfeldt, University of Chicago\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\"Reverse mathematics is a major research direction in the foundations of mathematics and mathematical logic, and the insights obtained from reverse mathematics will interest a wide mathematically minded audience. Stillwell's book is self-contained and includes much background material in analysis, mathematical logic, combinatorics, and computability. I heartily commend this very readable and accessible book.\"\u003cb\u003e--Stephen Simpson, Vanderbilt University\u003c\/b\u003e\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003eJohn Stillwell\u003c\/b\u003e is professor of mathematics at the University of San Francisco and an affiliate of the School of Mathematical Sciences at Monash University, Australia. His many books include \u003ci\u003eMathematics and Its History\u003c\/i\u003e and \u003ci\u003eElements of Mathematics \u003c\/i\u003e(Princeton).\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 200\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.6 x 9.1 x 6.1 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 24, 2019\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":47452234154162,"sku":"9780691196411","price":31.61,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0770\/3891\/1666\/files\/62d439bbe15ed4ec5d48822e144f917f.webp?v=1778811543","url":"https:\/\/box.dadyminds.org\/products\/reverse-mathematics-proofs-from-the-inside-out-paperback","provider":"DADYMINDS BOX","version":"1.0","type":"link"}