{"product_id":"algebraic-equations-an-introduction-to-the-theories-of-lagrange-and-galois-dover-books-on-mathematics","title":"Algebraic Equations: An Introduction to the Theories of LaGrange and Galois (Dover Books on Mathematics)","description":"\n\u003ctable align=\"center\" border=\"0\" cellpadding=\"2\" cellspacing=\"0\" width=\"100%\"\u003e\n\u003ctr\u003e\n\u003ctd class=\"productDetailSmallElements\"\u003e\n\u003cp\u003e\n\u003cstrong\u003eMarc Notes\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tOriginally published: New York: Columbia University Press, 1930.; Includes index.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eBiographical Note\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tEdgar Dehn was an Instructor in Mathematics at Columbia University.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eBrief Description\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\t\"This Dover edition, first published in 1960 ... is an unabridged and corrected republication of the work originally published by the Columbia University Press in 1930\"--T.p. verso.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003ePublisher Marketing\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tMeticulous and complete, this presentation of Galois' theory of algebraic equations is geared toward upper-level undergraduate and graduate students. The theories of both Lagrange and Galois are developed in logical rather than historical form and given a thorough exposition. For this reason, \n\u003ci\u003eAlgebraic Equations \u003c\/i\u003eis an excellent supplementary text, offering students a concrete introduction to the abstract principles of Galois theory. Of further value are the many numerical examples throughout the book, which appear with complete solutions. \n\u003cbr\u003eA third of the text focuses on the basic ideas of algebraic theory, giving detailed explanations of integral functions, permutations, and group in addition to a very clear exposition of the symmetric group and its functions. A study of the theory of Lagrange follows. After a discussion of various groups (including isomorphic, transitive, and Abelian groups), a detailed study of Galois theory covers the properties of the Galoisian function, the general equation, reductions of the group, natural irrationality, and other features. The book concludes with the application of Galoisian theory to the solution of such special equations as Abelian, cyclic, metacyclic, and quintic equations. \n\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\n\u003c\/p\u003e\n\u003cbr\u003e\n\u003cbr\u003e\n\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":46581099233411,"sku":"SPTM-9780486439006","price":14.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0564\/6830\/8099\/files\/9780486439006_spiral_593277e1-0ec0-438f-8ea6-218e161daf04.png?v=1770801812","url":"https:\/\/sebink.com\/products\/algebraic-equations-an-introduction-to-the-theories-of-lagrange-and-galois-dover-books-on-mathematics","provider":"Sebink","version":"1.0","type":"link"}