{"product_id":"an-introduction-to-the-theory-of-surreal-numbers-paperback-9780521312059","title":"An Introduction to the Theory of Surreal Numbers (Paperback) 9780521312059","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Introduction to the Theory of Surreal Numbers\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThese notes provide a formal introduction to the theory of surreal numbers in a clear and lucid style.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHarry Gonshor (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521312059, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 18 September 1986\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e204 pages\u003cbr\u003e22.8 x 15.2 x 1.2 cm, 0.3 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe surreal numbers form a system which includes both the ordinary real numbers and the ordinals. Since their introduction by J. H. Conway, the theory of surreal numbers has seen a rapid development revealing many natural and exciting properties. These notes provide a formal introduction to the theory in a clear and lucid style. The the author is able to lead the reader through to some of the problems in the field. The topics covered include exponentiation and generalized e-numbers.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Definition and Fundamental Existence Theorem\u003cbr\u003e 3. The Basic Operations\u003cbr\u003e 4. Real Numbers and Ordinals\u003cbr\u003e 5. Normal Form\u003cbr\u003e 6. Lengths and Subsystems which are Sets\u003cbr\u003e 7. Sums as Subshuffles, Unsolved Problems\u003cbr\u003e 8. Number Theory\u003cbr\u003e 9. Generalized Epsilon Numbers\u003cbr\u003e 10. Exponentiation\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical foundations [\u003ca title=\"See our other books on Mathematical foundations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20foundations%20%5BPBC%5D%22\"\u003ePBC\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003393823000,"sku":"9780521312059","price":70.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521312059i_e8342812-b4d0-47b7-8df2-5a13bb058a04.jpg?v=1691375036","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/an-introduction-to-the-theory-of-surreal-numbers-paperback-9780521312059","provider":"Freshly Printed Books","version":"1.0","type":"link"}