A classical introduction to modern number theory
A classical introduction to modern number theory
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DOI：
10.1007/978-1-4757-1779-2
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发表时间：
1982
期刊：
影响因子：
4.1
通讯作者：
K. Ireland;M. Rosen
中科院分区：
文献类型：
--
作者：
K. Ireland;M. Rosen
《现代数论经典导论》弥合了初等数论和高级主题系统研究之间的差距，是一本完善且易于理解的文本，只需熟悉基本抽象代数即可。历史的发展是强调始终，沿着广泛的覆盖面的重大成果与比较基本的证据，其中一些新的。一个广泛的参考书目和许多具有挑战性的练习也包括在内。这第二版已被纠正，并包含两个新的章节，提供了一个完整的证明莫德尔-韦伊定理椭圆曲线的有理数，并概述了最近的进展算术椭圆曲线。
Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves.