Quadratic number fields / Franz Lemmermeyer.

Unlimited

Authorized users

Can lend chapters, not whole ebooks

Quadratic number fields / Franz Lemmermeyer.

Quadratische Zahlkörper. English

9783030786526 (electronic bk.)
3030786528 (electronic bk.)
9783030786519
303078651X

Cham : Springer, [2021]

©2021

English

Translated from German.

1 online resource : illustrations (some color).

10.1007/978-3-030-78652-6 doi

QA247 .L3613 2021

512.7/4

This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings of integers, the unit group, ideals and the ideal class group. This textbook provides solid grounding for further study by placing the subject within the greater context of modern algebraic number theory. Going beyond what is usually covered at this level, the book introduces the notion of modularity in the context of quadratic reciprocity, explores the close links between number theory and geometry via Pell conics, and presents applications to Diophantine equations such as the Fermat and Catalan equations as well as elliptic curves. Throughout, the book contains extensive historical comments, numerous exercises (with solutions), and pointers to further study. Assuming a moderate background in elementary number theory and abstract algebra, Quadratic Number Fields offers an engaging first course in algebraic number theory, suitable for upper undergraduate students.

Includes bibliographical references and indexes.

Access limited to authorized users.

Online resource; title from PDF title page (SpringerLink, viewed September 23, 2021).

Springer undergraduate mathematics series.

Print version: 9783030786519

Online Resources > Ebooks
All Resources