{"product_id":"diophant-approx-paperback-9780521045872","title":"Diophant Approx (Paperback \/ softback) 9780521045872","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eDiophant Approx\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis tract sets out to give some idea of the basic techniques and of some of the most striking results of Diophantine approximation.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJ. W. S. Cassels (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521045872, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 2 January 1957\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e180 pages\u003cbr\u003e21.6 x 14 x 1 cm, 0.24 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\"\u003eThis tract sets out to give some idea of the basic techniques and of some of the most striking results of Diophantine approximation. A selection of theorems with complete proofs are presented, and Cassels also provides a precise introduction to each chapter, and appendices detailing what is needed from the geometry of numbers and linear algebra. Some chapters require knowledge of elements of Lebesgue theory and algebraic number theory. This is a valuable and concise text aimed at the final-year undergraduate and first-year graduate student.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Homogeneous Approximation\u003cbr\u003e 2. The Markoff Chain\u003cbr\u003e 3. Inhomogeneous Approximation\u003cbr\u003e 4. Uniform Distribution\u003cbr\u003e 5. Transference Theorems\u003cbr\u003e 6. Rational Approximation to Algebraic Numbers. Roth's Theorem\u003cbr\u003e 7. Metrical Theory\u003cbr\u003e 8. The Pisot-Vijayaraghavan Numbers.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\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":46005918040344,"sku":"9780521045872","price":41.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521045872i_33ff4d15-9f17-4843-b829-88d0ccc1b573.jpg?v=1694968654","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/diophant-approx-paperback-9780521045872","provider":"Freshly Printed Books","version":"1.0","type":"link"}