{"product_id":"algebra","title":"Algebra","description":"\"As I see it, the graduate course in algebra must primarily prepare students to handle the algebra which they will meet in all of mathematics: topology, partial differential equations, differential geometry, algebraic geometry, analysis, and representation theory, not to speak of algebra itself and algebraic number theory with all its ramifications.\"  -Serge Lang, preface to the third edition  Intended as a basic text for a one-year course in algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra, Algebra, Third Edition, by Serge Lang of Yale University, approaches the subject from a modern and comprehensive approach.  Part 1 introduces the basic concepts of algebra. After covering these, the book splits in two major directions: the direction of algebraic equations including the Galois theory in part 2 and the direction of linear and multilinear algebra in parts 3 and 4.  Ten years have passed since publication of the second edition of Algebra; this edition has been updated to include:  ? many new examples and exercises  ? many references to the contemporary mathematical literature and a number of unsolved problems that put students in contact with research; the abc conjecture may be the most spectacular of these  ? an expanded chapter on representation theory, including Mackey's theorems; and a new section describing A the irreducible characters of GL, of a finite field, which is woven into the book in several contexts  ? two new sections on elimination theory, complementing the existing section on the resultant  In addition, the organization has been updated as follows:  ? commutative algebra is integrated with algebraic sets and elimination theory  ? all homological algebra topics now appear in part 4\u003cbr\u003e\n\u003cbr\u003e\nSource : Pearson","brand":"Book Hémisphères","offers":[{"title":"Default Title","offer_id":55487206752582,"sku":"V2236625","price":15.99,"currency_code":"EUR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0517\/5915\/3314\/files\/0744680.jpg?v=1761685332","url":"https:\/\/www.livrenpoche.com\/products\/algebra","provider":"Livrenpoche","version":"1.0","type":"link"}