Algebra I : Textbook for Students of Mathematics, Hardcover by Gorodentsev, Alexey L., ISBN 3319452843, ISBN-13 9783319452845, Brand New, Free shipping in the US

<div><p>This book is the first volume of an intensive “Russian-style” two-year graduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings,&nbsp;modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. </p><p>The&nbsp;course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra,&nbsp;representation theory,&nbsp;category theory, commutative algebra, Galois theory, and algebraic&nbsp;geometry – topics that are often overlooked in standard undergraduate courses.<br></p><p>This textbook is based on courses the author has conducted at the Independent University of Moscow and at&nbsp;the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for&nbsp;independent study.<br></p><p>&nbsp;<br></p></div><br>