Algebraic Number Theory - Brossura

Fröhlich, A.

Brossura

ISBN 10: 0521438349 ISBN 13: 9780521438346

Casa editrice: Cambridge University Press, 1993

Riassunto

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.

Su questo libro

Recensione:

'It promises to become a classic.' Monatshefte für Mathematik

'... very nice and carefully written ... many excellent exercises...' European Mathematical Society Newsletter

Descrizione del libro:

Here is a thorough treatment of the foundations of algebraic number theory which is built on to introduce more advanced ideas. The systematic development of techniques for the explicit calculation of the basic invariants is emphasised throughout. They combine theory with explicit computations and applications, giving motivation in terms of classical number-theoretic problems.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1993
• ISBN 10: 0521438349
• ISBN 13: 9780521438346
• Rilegatura: Copertina flessibile
• Numero di pagine: 372