By Alexey L. Gorodentsev
This booklet is the second one quantity of a radical “Russian-style” two-year undergraduate path in summary algebra, and introduces readers to the fundamental algebraic buildings – fields, rings, modules, algebras, teams, and different types – and explains the most ideas of and techniques for operating with them.
The course covers huge parts of complex combinatorics, geometry, linear and multilinear algebra, representation theory, category idea, commutative algebra, Galois conception, and algebraic geometry – subject matters which are frequently neglected in average undergraduate courses.
This textbook is predicated on classes the writer has carried out on the self sustaining collage of Moscow and at the college of arithmetic within the larger university 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