{"product_id":"introduction-to-abstract-algebra-benjamin-fine-9781421411767","title":"Introduction to Abstract Algebra: From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory","description":"\u003cp\u003e\u003cb\u003eA new approach to abstract algebra that eases student anxieties by building on fundamentals.\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eIntroduction to Abstract Algebra\u003c\/i\u003e presents a breakthrough approach to teaching one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression from familiar topics such as rings, numbers, and groups to more difficult concepts. \u003c\/p\u003e\u003cp\u003eClassroom tested and revised until students achieved consistent, positive results, this textbook is designed to keep students focused as they learn complex topics. Fine, Gaglione, and Rosenberger's clear explanations prevent students from getting lost as they move deeper and deeper into areas such as abelian groups, fields, and Galois theory. \u003c\/p\u003e\u003cp\u003eThis textbook will help bring about the day when abstract algebra no longer creates intense anxiety but instead challenges students to fully grasp the meaning and power of the approach. \u003c\/p\u003e\u003cp\u003eTopics covered include: \u003cbr\u003e- Rings\u003cbr\u003e- Integral domains\u003cbr\u003e- The fundamental theorem of arithmetic\u003cbr\u003e- Fields\u003cbr\u003e- Groups\u003cbr\u003e- Lagrange's theorem\u003cbr\u003e- Isomorphism theorems for groups\u003cbr\u003e- Fundamental theorem of finite abelian groups\u003cbr\u003e- The simplicity of \u003ci\u003eA\u003c\/i\u003e\u003ci\u003en\u003c\/i\u003e for n5\u003cbr\u003e- Sylow theorems\u003cbr\u003e- The Jordan-Hder theorem\u003cbr\u003e- Ring isomorphism theorems\u003cbr\u003e- Euclidean domains\u003cbr\u003e- Principal ideal domains\u003cbr\u003e- The fundamental theorem of algebra\u003cbr\u003e- Vector spaces\u003cbr\u003e- Algebras\u003cbr\u003e- Field extensions: algebraic and transcendental\u003cbr\u003e- The fundamental theorem of Galois theory\u003cbr\u003e- The insolvability of the quintic\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Benjamin Fine, Anthony M. Gaglione, Gerhard Rosenberger\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1421411768\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781421411767\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Johns Hopkins University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/01\/2014\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 584\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.98lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 10.29h x 7.28w x 1.53d","brand":"Benjamin Fine","offers":[{"title":"Hardcover","offer_id":44072941027583,"sku":"9781421411767","price":102.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_cc2cbc38-90fe-4a69-8190-7e95b28abb2e.jpg?v=1685444850","url":"https:\/\/www.whiterainbookhouse.com\/products\/introduction-to-abstract-algebra-benjamin-fine-9781421411767","provider":"WR Book House","version":"1.0","type":"link"}