Algebra II Textbook for Students of Mathematics 1st Edition by Alexey Gorodentsev 3319508535 9783319508535

Algebra II Textbook for Students of Mathematics 1st Edition by Alexey L. Gorodentsev – Ebook PDF Instant Download/DeliveryISBN:  3319508535, 9783319508535 

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Product details:

ISBN-10 :  3319508535 

ISBN-13 :  9783319508535

Author:  Alexey L. Gorodentsev 

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.

Algebra II Textbook for Students of Mathematics 1st Table of contents:

1. Tensor Products
2. Tensor Algebras
3. Symmetric Functions
4. Calculus of Arrays, Tableaux, and Diagrams
5. Basic Notions of Representation Theory
6. Representations of Finite Groups in Greater Detail
7. Representations of Symmetric Groups
8. -Modules
9. Categories and Functors
10. Extensions of Commutative Rings
11. Affine Algebraic Geometry
12. Algebraic Manifolds
13. Algebraic Field Extensions
14. Examples of Galois Groups

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