Algebraic Number Theory

von

Lang, Serge

BuchGebunden

Verkaufsrang8289inMathematik

EUR67,95

Beschreibung

This is a corrected printing of the second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms. Part I introduces some of the basic ideas of the theory: number fields, ideal classes, ideles and adeles, and zeta functions. It also contains a version of a Riemann-Roch theorem in number fields, proved by Lang in the very first version of the book in the sixties. This version can now be seen as a precursor of Arakelov theory. Part II covers class field theory, and Part III is devoted to analytic methods, including an exposition of Tate's thesis, the Brauer-Siegel theorem, and Weil's explicit formulas. The second edition contains corrections, as well as several additions to the previous edition, and the last chapter on explicit formmulas has been rewritten.

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Details

ISBN/EAN978-3-540-94225-2

ProduktartBuch

EinbandGebunden

Verlag

Springer New York

Erscheinungsdatum24.06.1994

Auflage2nd ed. 1994

ReiheGraduate Texts in Mathematics

Reihen-Nr.110

Seiten376 Seiten

SpracheEnglisch

Artikel-Nr.2949572

WarengruppeMathematik

Weitere Details

Reihe

Modern Geometry¿ Methods and Applications

The Arithmetic of Elliptic Curves