{"product_id":"algebra-and-number-theory-9783110789980","title":"Algebra and Number Theory","description":"This second edition gives a thorough introduction to the vast field of Abstract Algebra with a focus on its rich applications. It is among the pioneers of a new approach to conveying abstract algebra starting with rings and fields, rather than with groups. Our teaching experience shows that examples of groups seem rather abstract and require a certain formal framework and mathematical maturity that would distract a course from its main objectives. Our philosophy is that the integers provide the most natural example of an algebraic structure that students know from school. A student who goes through ring theory first, will attain a solid background in Abstract Algebra and be able to move on to more advanced topics. The centerpiece of our book is the development of Galois Theory and its important applications, such as the solvability by radicals and the insolvability of the quintic, the fundamental theorem of algebra, the construction of regular n-gons and the famous impossibilities: squaring the circling, doubling the cube and trisecting an angle. However, our book is not limited to the foundations of abstract algebra but concludes with chapters on applications in Algebraic Geometry and Algebraic Cryptography.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-13491494\"\u003eNo Contributor\u003c\/a\u003e\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e de Gruyter\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/07\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 390\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.37lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.61h x 6.69w x 0.81d\u003cbr\u003e\u003cb\u003eISBN13:\u003c\/b\u003e 9783110789980\u003cbr\u003e\u003cb\u003eISBN10:\u003c\/b\u003e 3110789981\u003cbr\u003e\u003cb\u003eBISAC Categories:\u003c\/b\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-MAT\"\u003eMathematics\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-MAT002000\"\u003eAlgebra | General\u003c\/a\u003e\u003cbr\u003e","brand":"de Gruyter","offers":[{"title":"Default Title","offer_id":44387127296237,"sku":"9783110789980","price":87.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0550\/8097\/6621\/products\/img_cc865ec2-d4a6-463b-aa3d-b3fae022ef33.jpg?v=1699374715","url":"https:\/\/sureshotbooks.com\/es\/products\/algebra-and-number-theory-9783110789980","provider":"SureShot Books Publishing LLC","version":"1.0","type":"link"}