{"product_id":"algebraic-equations","title":"Algebraic Equations","description":"\u003ch3\u003eBook Details\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: Edgar Dehn\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLanguage\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN\u003c\/strong\u003e: 9780486439006\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePages\u003c\/strong\u003e: 224\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eCover\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eEdition\u003c\/strong\u003e: Dover Ed\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRelease Date\u003c\/strong\u003e: 21-06-2017\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eDimensions\u003c\/strong\u003e: 8.4 x 5.4 x 0.6 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003eAbout The Book\u003c\/h3\u003e\n\u003cp\u003e\u003cem\u003eAlgebraic Equations\u003c\/em\u003e by Edgar Dehn presents a meticulous and thorough exposition of Galois' theory of algebraic equations, making it an ideal resource for upper-level undergraduate and graduate students. The book presents the theories of both Lagrange and Galois in a logical rather than historical order, offering students a concrete introduction to the abstract principles of Galois theory.\u003c\/p\u003e\n\u003cp\u003eThe text is structured to provide a solid foundation in algebraic theory and its application, with a focus on the properties of equations, functions, and groups. A third of the book is dedicated to basic algebraic concepts, such as integral functions, permutations, and the symmetric group, followed by a detailed study of Lagrange’s theory.\u003c\/p\u003e\n\u003cp\u003eThe heart of the book is a comprehensive treatment of Galois theory, which includes an exploration of Galoisian functions, the general equation, and reductions of groups, among other topics. The book also offers a clear understanding of natural irrationality and other critical aspects of Galois' work.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eKey Topics Covered:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eIntegral Functions and Permutations\u003c\/strong\u003e: The book begins with a detailed exploration of these basic algebraic concepts.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eSymmetric Group\u003c\/strong\u003e: A clear explanation of the symmetric group and its functions.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLagrange’s Theory\u003c\/strong\u003e: A study of the theory of Lagrange, building a foundation for the Galoisian approach.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eGalois Theory\u003c\/strong\u003e: A thorough exposition of Galois theory, including Galoisian functions, the general equation, and group reductions.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eSpecial Equations\u003c\/strong\u003e: Application of Galois theory to solve special equations like Abelian, cyclic, metacyclic, and quintic equations.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eFeatures:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLogical and Complete Exposition\u003c\/strong\u003e: The theories are presented in a logical, well-structured form, making the abstract concepts more accessible.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eNumerical Examples\u003c\/strong\u003e: The book includes many numerical examples, with complete solutions, to help students understand how the theory applies in practice.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAdvanced Topics\u003c\/strong\u003e: A thorough exploration of Galois theory, ideal for students familiar with abstract algebra.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eThis book is an excellent supplementary text for students studying algebra and Galois theory, offering both theoretical explanations and practical applications of algebraic equations.\u003c\/p\u003e","brand":"Dover","offers":[{"title":"Default Title","offer_id":49905755390256,"sku":"Sarat_9780486439006","price":1066.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/dover-book-default-title-algebraic-equations-41195592778032.jpg?v=1775948008","url":"https:\/\/www.retailmaharaj.com\/products\/algebraic-equations","provider":"Retail Maharaj","version":"1.0","type":"link"}