{"product_id":"books-galois-theory-and-its-algebraic-background-by-d-j-h-garling","title":"Galois Theory and Its Algebraic Background","description":"Galois Theory, the theory of polynomial equations and their solutions, is one of the most fascinating and beautiful subjects of pure mathematics. Using group theory and field theory, it provides a complete answer to the problem of the solubility of polynomial equations by radicals: that is, determining when and how a polynomial equation can be solved by repeatedly extracting roots using elementary algebraic operations. This textbook contains a fully detailed account of Galois Theory and the algebra that it needs and is suitable both for those following a course of lectures and the independent reader (who is assumed to have no previous knowledge of Galois Theory). The second edition has been significantly revised and re-ordered; the first part develops the basic algebra that is needed, and the second a comprehensive account of Galois Theory. There are applications to ruler-and- compass constructions, and to the solution of classical mathematical problems of ancient times. There are new exercises throughout, and carefully-selected examples will help the reader develop a clear understanding of the mathematical theory.","brand":"World of Books ","offers":[{"title":"Default Title","offer_id":53672483193105,"sku":null,"price":0.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781108969086.jpg?v=1781519899","url":"https:\/\/www.worldofbooks.com\/products\/books-galois-theory-and-its-algebraic-background-by-d-j-h-garling","provider":"World of Books ","version":"1.0","type":"link"}