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Alexey L. Gorodentsev's Algebra I: Textbook for Students of Mathematics PDF

By Alexey L. Gorodentsev

This booklet is the 1st quantity of a radical “Russian-style” two-year graduate direction in summary algebra, and introduces readers to the fundamental algebraic buildings – fields, earrings, modules, algebras, teams, and different types – and explains the most ideas of and strategies for operating with them. The path covers giant parts of complex combinatorics, geometry, linear and multilinear algebra, illustration thought, class thought, commutative algebra, Galois thought, and algebraic geometry – themes which are frequently missed in average undergraduate courses.
This textbook relies on classes the writer has performed on the self reliant collage of Moscow and on the college of arithmetic within the better college 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 self sufficient study.

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Algebra I: Textbook for Students of Mathematics by Alexey L. Gorodentsev

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