By Alexey L. Gorodentsev
This e-book 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 big components of complicated combinatorics, geometry, linear and multilinear algebra, representation theory, category idea, commutative algebra, Galois idea, and algebraic geometry – subject matters which are frequently neglected in average undergraduate courses.
This textbook relies on classes the writer has carried out on the self reliant college of Moscow and at the school of arithmetic within the greater institution of Economics. the most content material is complemented by means 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