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By Alexey L. Gorodentsev

This ebook is the 1st quantity of a thorough “Russian-style” two-year graduate path in summary algebra, and introduces readers to the elemental algebraic constructions – fields, jewelry, modules, algebras, teams, and different types – and explains the most rules of and techniques for operating with them. The path covers giant components of complex combinatorics, geometry, linear and multilinear algebra, illustration thought, classification thought, commutative algebra, Galois idea, and algebraic geometry – themes which are frequently ignored in typical undergraduate courses.
This textbook is predicated on classes the writer has performed on the self sustaining collage of Moscow and on the college of arithmetic within the better university 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 reliant study.

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


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