{"product_id":"9783540414964","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eNesterenko, Yuri V.; Amoroso, F.; Philippon, Patrice; Bertrand, D.; Brownawell, W.D.; Diaz, G.; Laurent, M.; Nesterenko, Yu.V.; Nishioka, K.; Philippon, P.; Remond, G.; Roy, D.; Waldschmidt, M.\u003c\/h2\u003e \u003cp\u003eIn the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2001-01-18\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540414964\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/b76882\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 260\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369690226828,"sku":"9783540414964","price":58.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540414964.jpg?v=1775673836","url":"https:\/\/lateknightbooks.com\/products\/9783540414964","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}