{"product_id":"a-concrete-approach-to-abstract-algebra","title":"A Concrete Approach to Abstract Algebra","description":"\n\u003ctable align=\"center\" border=\"0\" cellpadding=\"2\" cellspacing=\"0\" width=\"100%\"\u003e\n\u003ctr\u003e\n\u003ctd class=\"productDetailSmallElements\"\u003e\n\u003cp\u003e\n\u003cstrong\u003eTable of Contents\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tIntroduction \n\u003cbr\u003e1. The Viewpoint of Abstract Algebra \n\u003cbr\u003e2. Arithmetics and Polynomials \n\u003cbr\u003e3. Finite Arithmetics \n\u003cbr\u003e4. An Analogy Between Integers and Polynomials \n\u003cbr\u003e5. An Application of the Analogy \n\u003cbr\u003e6. Extending Fields \n\u003cbr\u003e7. Linear Dependence and Vector Spaces \n\u003cbr\u003e8. Algebraic Calculations with Vectors \n\u003cbr\u003e9. Vectors Over a Field \n\u003cbr\u003e10. Fields Regarded as Vector Spaces \n\u003cbr\u003e11. Trisection of an Angle \n\u003cbr\u003eAnswers to Exercises \n\u003cbr\u003eIndex\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eBiographical Note\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tWalter Warwick Sawyer (1911-2008) studied mathematics at St. John's College, Cambridge, and taught all over the world, starting at the universities of Dundee and Manchester and later at the University of Ghana and Canterbury College in New Zealand. He was Professor of Mathematics at Wesleyan University in Connecticut and on the faculty at the University of Toronto. His 11 books include the Dover publications \n\u003ci\u003ePrelude to Mathematics, Mathematician's Delight, Vision in Elementary Mathematics, \u003c\/i\u003e and \n\u003ci\u003eA First Look at Numerical Functional Analysis.\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eBrief Description\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tOriginally published: San Francisco: W.H. Freeman, 1959; previously republished by Dover Publications, 1978.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003ePublisher Marketing\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tBrief, clear, and well written, this introduction to abstract algebra bridges the gap between the solid ground of traditional algebra and the abstract territory of modern algebra. The only prerequisite is high school-level algebra. \n\u003cbr\u003eAuthor W. W. Sawyer begins with a very basic viewpoint of abstract algebra, using simple arithmetic and elementary algebra. He then proceeds to arithmetic and polynomials, slowly progressing to more complex matters: finite arithmetic, an analogy between integers and polynomials, an application of the analogy, extending fields, and linear dependence and vector spaces. Additional topics include algebraic calculations with vectors, vectors over a field, and fields regarded as vector spaces. The final chapter proves that angles cannot be trisected by Euclidean means, using a proof that shows how modern algebraic concepts can be used to solve an ancient problem. Exercises appear throughout the book, with complete solutions at the end.\u003cbr\u003e\u003cbr\u003e\n\u003c\/p\u003e\n\u003cbr\u003e\n\u003cbr\u003e\n\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":46431153651843,"sku":"SPTM-9780486824611","price":14.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0564\/6830\/8099\/files\/9780486824611_spiral.png?v=1769660467","url":"https:\/\/sebink.com\/products\/a-concrete-approach-to-abstract-algebra","provider":"Sebink","version":"1.0","type":"link"}