Overview

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.

Full Product Details

9781139172165

Table of Contents

Reviews

'It promises to become a classic.' Monatshefte fur Mathematik '... very nice and carefully written ... many excellent exercises...' European Mathematical Society Newsletter ...an excellent contribution to the long list of books presenting the main results of algebraic number theory. It is useful for anyone who is learning or teaching this branch of mathematics. J. Browkin, Mathematical Reviews

'It promises to become a classic.' Monatshefte fur Mathematik '... very nice and carefully written ... many excellent exercises...' European Mathematical Society Newsletter

Author Information

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available