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Algebra I: Textbook for Students of Mathematics

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This book is the first volume of an intensive “Russian-style” two-year graduate 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.

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Detail Information

Series Title

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Call Number

512 GOR a

Publisher

Cham, Switzerland : Springer Cham., 2016

Collation

XX, 564

Language

English

ISBN/ISSN

978-3-319-45285-2

Classification

512

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

Ed. 1

Subject(s)

ALGEBRA

Specific Detail Info

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Statement of Responsibility

Alexey L. Gorodentsev

Other Information

Cataloger

umi

Source

https://link.springer.com/content/pdf/10.1007/978-3-319-45285-2.pdf?pdf=button

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