By Alexey L. Gorodentsev
This publication is the second one quantity of a thorough “Russian-style” two-year undergraduate direction in summary algebra, and introduces readers to the elemental algebraic constructions – fields, rings, modules, algebras, teams, and different types – and explains the most rules of and strategies for operating with them.
The course covers titanic components of complicated combinatorics, geometry, linear and multilinear algebra, representation theory, category conception, commutative algebra, Galois conception, and algebraic geometry – themes which are usually ignored in common undergraduate courses.
This textbook relies on classes the writer has carried out on the self sufficient college of Moscow and at the school of arithmetic within the better college of Economics. the most content material is complemented by way of a wealth of workouts for sophistication dialogue, a few of which come with reviews and tricks, in addition to difficulties for independent study.
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Algebra II: Textbook for Students of Mathematics by Alexey L. Gorodentsev