{"product_id":"a-first-course-in-abstract-algebra-9781482245523","title":"A First Course in Abstract Algebra","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eLike its popular predecessors, \u003cstrong\u003eA First Course in Abstract Algebra: Rings, Groups, and Fields, Third Edition\u003c\/strong\u003e develops ring theory first by drawing on studentsâ familiarity with integers and polynomials. This unique approach motivates students in the study of abstract algebra and helps them understand the power of abstraction. The authors introduce groups later on using examples of symmetries of figures in the plane and space as well as permutations.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eNew to the Third Edition\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e \u003cli\u003eMakes it easier to teach unique factorization as an optional topic \u003c\/li\u003e \u003cli\u003eReorganizes the core material on rings, integral domains, and fields\u003c\/li\u003e \u003cli\u003eIncludes a more detailed treatment of permutations\u003c\/li\u003e \u003cli\u003eIntroduces more topics in group theory, including new chapters on Sylow theorems\u003c\/li\u003e \u003cli\u003eProvides many new exercises on Galois theory\u003c\/li\u003e \u003c\/ul\u003e\u003cp\u003eThe text includes straightforward exercises within each chapter for students to quickly verify facts, wa\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\"I am a fan of the rings-first approach to algebra, agreeing with the authors that students’ familiarity with the integers and with polynomials renders rings more intuitive and accessible than groups. But this book has many other virtues besides presenting the material in this order. For example, each section is preceded and followed by short sections that try to put the material into a broader context. … This is definitely a book worth considering for textbook adoption.\"\u003cbr\u003e—\u003cem\u003eMAA Reviews\u003c\/em\u003e, November 2014\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePraise for the Second Edition:\u003c\/strong\u003e\"I was quickly won over by the book … . The book is very complete, containing more than enough material for a two semester course in undergraduate abstract algebra … . Even though there was a great deal of material presented, I found the book to be very well organized. … There are a lot of things that I like about this book. … [It is] well written and will help students to see the big picture. … All in all it seems that a lot of thought went into this book, resulting in a comprehensive, well-written, readable book for undergraduates first learning abstract algebra.\"\u003cbr\u003e—MAA Online\u003c\/p\u003e\u003cp\u003e\"A remarkable feature of the book is that it starts first with the concept of a ring, while groups are introduced later. The reason of that is that students are usually more familiar with various number domains rather than the mappings and matrices. There is a huge number of examples in the book … . The book contains a lot of nice exercises of various degrees of difficulty so that it can also be used as a practice book.\"\u003cbr\u003e—\u003ci\u003eEMS Newsletter\u003c\/i\u003e, March 2006\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eNumbers, Polynomials, and Factoring. Rings, Domains, and Fields. Ring Homomorphisms and Ideals. Groups. Group Homomorphisms. Topics from Group Theory. Unique Factorization. Constructibility Problems. Vector Spaces and Field Extensions. Galois Theory. Hints and Solutions. Guide to Notation. Index.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":49409114734935,"sku":"9781482245523","price":82.64,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781482245523.jpg?v=1730505492","url":"https:\/\/bookcurl.com\/products\/a-first-course-in-abstract-algebra-9781482245523","provider":"Book Curl","version":"1.0","type":"link"}