{"product_id":"galois-theory-and-its-algebraic-d-j-h-garling-9781108838924","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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e D. J. H. Garling\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1108838928\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781108838924\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/30\/2021\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 204\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.00lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.20h x 8.00w x 0.80d","brand":"D. J. H. Garling","offers":[{"title":"Hardcover","offer_id":43945239281919,"sku":"9781108838924","price":116.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_8b2c337b-e4de-4ea5-8332-23dcaa1026cf.jpg?v=1681507592","url":"https:\/\/www.whiterainbookhouse.com\/products\/galois-theory-and-its-algebraic-d-j-h-garling-9781108838924","provider":"WR Book House","version":"1.0","type":"link"}