Algebra II : textbook for students of mathematics / Alexey L. Gorodentsev.

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Algebra II : textbook for students of mathematics / Alexey L. Gorodentsev.

Algebra. English

9783319508535 (electronic book)
3319508539 (electronic book)
9783319508528
3319508520

Cham, Switzerland : Springer, 2017.

English

1 online resource (xv, 370 pages) : illustrations.

10.1007/978-3-319-50853-5 doi

QA152.3

512

This book is the second volume of an intensive “Russian-style” two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures ? fields, rings, modules, algebras, groups, and categories ? and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry ? topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed February 28, 2017).

Print version: 9783319508528

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