现货The Problem of Catalan (2014)[9783319100937]

928 九五品

仅1件

上海宝山

认证卖家担保交易快速发货售后保障

作者Bilu, Yuri F ; Bugeaud, Yann ; Mignotte, Maurice

出版社Springer

ISBN9783319100937

出版时间2014-10

装帧精装

纸张其他

页数245页

正文语种英语

上书时间2023-08-14

已实名已认证进店收藏店铺

商品描述: In 1842 the Belgian mathematician Eugène Charles Catalan asked whether 8 and 9 are the only consecutive pure powers of non-zero integers. 160 years after, the question was answered affirmatively by the Swiss mathematician of Romanian origin Preda Mih?ilescu. In other words, 32 – 23 = 1 is the only solution of the equation xp – yq = 1 in integers x, y, p, q with xy ≠ 0 and p, q ≥ 2.In this book we give a complete and (almost) self-contained exposition of Mih?ilescus work, which must be understandable by a curious university student, not necessarily specializing in Number Theory. We assume a very modest background:a standard university course of algebra, including basic Galois theory, and working knowledge of basic algebraic number theory.

— 没有更多了 —