{"product_id":"abstract-algebra-a-first-course-paperback-1","title":"Abstract Algebra: A First Course - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eStephen Lovett\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eWhen a student of mathematics studies abstract algebra, he or she inevitably faces questions in the vein of, \"What is abstract algebra\" or \"What makes it abstract?\" \u003c\/p\u003e\u003cp\u003eAlgebra, in its broadest sense, describes a way of thinking about classes of sets equipped with binary operations. In high school algebra, a student explores properties of operations (+, -, ×, and  ) on real numbers. \u003c\/p\u003e\u003cp\u003eAbstract algebra studies properties of operations without specifying what types of number or object we work with. Any theorem established in the abstract context holds not only for real numbers but for every possible algebraic structure that has operations with the stated properties.\u003c\/p\u003e\u003cp\u003eThis textbook intends to serve as a first course in abstract algebra. The selection of topics serves both of the common trends in such a course: a balanced introduction to groups, rings, and fields; or a course that primarily emphasizes group theory. \u003c\/p\u003e\u003cp\u003eThe writing style is student-centered, conscientiously motivating definitions and offering many illustrative examples. Various sections or sometimes just examples or exercises introduce applications to geometry, number theory, cryptography and many other areas.\u003c\/p\u003e\u003cp\u003eThis book offers a unique feature in the lists of projects at the end of each section. the author does not view projects as just something extra or cute, but rather an opportunity for a student to work on and demonstrate their potential for open-ended investigation.\u003c\/p\u003e\u003cp\u003eThe projects ideas come in two flavors: investigative or expository. The investigative projects briefly present a topic and posed open-ended questions that invite the student to explore the topic, asking and to trying to answer their own questions. \u003c\/p\u003e\u003cp\u003eExpository projects invite the student to explore a topic with algebraic content or pertain to a particular mathematician's work through responsible research.\u003c\/p\u003e\u003cp\u003eThe exercises challenge the student to prove new results using the theorems presented in the text. The student then becomes an active participant in the development of the field.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eStephen Lovett\u003c\/strong\u003e is an associate professor of mathematics at Wheaton College. He earned a PhD from Northeastern University. He is a member of the Mathematical Association of America, American Mathematical Society, and Association of Christians in the Mathematical Sciences.. His research interests include commutative algebra, algebraic geometry, differential geometry, cryptography, and discrete dynamical systems. Dr. Lovett's other books are: \u003ci\u003eDifferential Geometry of Curves and Surfaces, Third Edition\u003c\/i\u003e with Thomas F. Banchoff, \u003cem\u003e Differential Geometry of Manifolds, Second Edition, \u003c\/em\u003eand \u003cem\u003eTransition to Advanced Mathematics, \u003c\/em\u003ewith Danilo R. Diedrichs, all from CRC Press.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 557\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.16 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e August 26, 2024\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":53801463775539,"sku":"9781032289410","price":136.58,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/0LxUkoEJgI9781032289410_02826948-64f4-49d9-9b99-e046e82affc0.webp?v=1785968907","url":"https:\/\/www.vysn.com\/en-ca\/products\/abstract-algebra-a-first-course-paperback-1","provider":"VYSN","version":"1.0","type":"link"}