Algebraic Number Theory 在线电子书 图书标签: 数学 代数数论 代数数论7 代数 number_theory algebriac_number_theory Mathematics Algebra
发表于2024-12-25
Algebraic Number Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
This book originates from graduate courses given in Cambridge and London. It provides a brisk, thorough treatment of the foundations of algebraic number theory, and builds on that to introduce more advanced ideas. Throughout, the authors emphasise the systematic development of techniques for the explicit calculation of the basic invariants, such as rings of integers, class groups, and units. Moreover they combine, at each stage of development, theory with explicit computations and applications, and provide motivation in terms of classical number-theoretic problems. A number of special topics are included that can be treated at this level but can usually only be found in research monographs or original papers, for instance: module theory of Dedekind domains; tame and wild ramifications; Gauss series and Gauss periods; binary quadratic forms; and Brauer relations. This is the only textbook at this level which combines clean, modern algebraic techniques together with a substantial arithmetic content. It will be indispensable for all practising and would-be algebraic number theorists.
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Algebraic Number Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024