Articles liés à Learning Modern Algebra
Synopsis
Much of modern algebra arose from attempts to prove Fermat's Last Theorem, which in turn has its roots in Diophantus' classification of Pythagorean triples. This book, designed for prospective and practising mathematics teachers, makes explicit connections between the ideas of abstract algebra and the mathematics taught at high-school level. Algebraic concepts are presented in historical order, and the book also demonstrates how other important themes in algebra arose from questions related to teaching. The focus is on number theory, polynomials, and commutative rings. Group theory is introduced near the end of the text to explain why generalisations of the quadratic formula do not exist for polynomials of high degree, allowing the reader to appreciate the work of Galois and Abel. Results are motivated with specific examples, and applications range from the theory of repeating decimals to the use of imaginary quadratic fields to construct problems with rational solutions.
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À propos des auteurs
Al Cuoco is Distinguished Scholar and Director of the Center for Mathematics Education at Education Development Center, Inc., (EDC). He is lead author for the CME Project, a four-year NSF-funded high school curriculum, published by Pearson. He also co-directs Focus on Mathematics, a mathematics-science partnership that has established a mathematical community of mathematicians, teachers, and mathematics educators.
Joseph Rotman has been on the faculty of the mathematics department of the University of Illinois, Urbana-Champaign since 1959, and has been Professor Emeritus since 2004. Professor Rotman was an editor of Proceedings of the American Mathematical Society (1970, 1971) and managing editor (1972, 1973). Aside from writing research articles, mostly on algebra, he has written textbooks on group theory, homological algebra, algebraic topology, Galois theory, and abstract algebra.
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Learning Modern Algebra
Edité par
Mathematical Association of America (MAA), 2015
ISBN 10 : 1939512018
ISBN 13 : 9781939512017
Ancien ou d'occasion
Couverture rigide
Vendeur : ThriftBooks-Dallas, Dallas, TX, Etats-Unis
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Hardcover. Etat : Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. N° de réf. du vendeur G1939512018I3N00
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Learning Modern Algebra (Mathematical Association of America Textbooks)
Edité par
American Mathematical Society, 2015
ISBN 10 : 1939512018
ISBN 13 : 9781939512017
Ancien ou d'occasion
Couverture rigide
Edition originale
Vendeur : Textbooks_Source, Columbia, MO, Etats-Unis
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hardcover. Etat : Good. 1st Edition. Ships same day or next business day! UPS shipping available (Priority Mail for AK/HI/APO/PO Boxes). Used sticker and some writing and/or highlighting. Used books may not include working access code. Used books will not include dust jackets. N° de réf. du vendeur 001759845U
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Learning Modern Algebra : From Early Attempts to Prove Fermat's Last Theorem
Edité par
American Mathematical Society, 2015
ISBN 10 : 1939512018
ISBN 13 : 9781939512017
Ancien ou d'occasion
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Etat : good. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers. N° de réf. du vendeur 20146473-5
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Learning Modern Algebra (Mathematical Association of America Textbooks)
Edité par
American Mathematical Society, 2015
ISBN 10 : 1939512018
ISBN 13 : 9781939512017
Neuf
Couverture rigide
Vendeur : Toscana Books, AUSTIN, TX, Etats-Unis
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Hardcover. Etat : new. Excellent Condition.Excels in customer satisfaction, prompt replies, and quality checks. N° de réf. du vendeur Scanned1939512018
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Learning Modern Algebra : From Early Attempts to Prove Fermat's Last Theorem
Edité par
American Mathematical Society, 2015
ISBN 10 : 1939512018
ISBN 13 : 9781939512017
Neuf
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur 20146473-n
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Learning Modern Algebra : From Early Attempts to Prove Fermat's Last Theorem
Edité par
American Mathematical Society, 2015
ISBN 10 : 1939512018
ISBN 13 : 9781939512017
Ancien ou d'occasion
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 20146473
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Learning Modern Algebra: From Early Attempts to Prove Fermat's Last Theorem (Maa Textbooks) (Mathematical Association of America Textbooks)
Edité par
Mathematical Association of America, 2013
ISBN 10 : 1939512018
ISBN 13 : 9781939512017
Neuf
Couverture rigide
Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
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Etat : New. A guide to modern algebra for mathematics teachers. It makes explicit connections between abstract algebra and high-school mathematics. Series: Mathematical Association of America Textbooks. Num Pages: 480 pages, illustrations. BIC Classification: PBF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 270 x 196 x 29. Weight in Grams: 1092. . 2013. Hardcover. . . . . N° de réf. du vendeur V9781939512017
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Learning Modern Algebra - From Early Attempts to Prove Fermat s Last Theorem
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MP-AMM American Mathematical, 2013
ISBN 10 : 1939512018
ISBN 13 : 9781939512017
Neuf
Couverture rigide
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
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HRD. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur FW-9781939512017
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Learning Modern Algebra: From Early Attempts to Prove Fermat's Last Theorem (Maa Textbooks) (Mathematical Association of America Textbooks)
Edité par
Mathematical Association of America, 2015
ISBN 10 : 1939512018
ISBN 13 : 9781939512017
Neuf
Couverture rigide
Vendeur : Kennys Bookstore, Olney, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. A guide to modern algebra for mathematics teachers. It makes explicit connections between abstract algebra and high-school mathematics. Series: Mathematical Association of America Textbooks. Num Pages: 480 pages, illustrations. BIC Classification: PBF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 270 x 196 x 29. Weight in Grams: 1092. . 2013. Hardcover. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9781939512017
Quantité disponible : 1 disponible(s)
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Learning Modern Algebra
Edité par
Mathematical Association of America, US, 2013
ISBN 10 : 1939512018
ISBN 13 : 9781939512017
Neuf
Couverture rigide
Vendeur : Rarewaves.com USA, London, LONDO, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Hardback. Etat : New. Learning Modern Algebra aligns with the CBMS Mathematical Education of Teachers II recommendations, in both content and practice. It emphasizes rings and fields over groups, and it makes explicit connections between the ideas of abstract algebra and the mathematics used by high school teachers. It provides opportunities for prospective and practicing teachers to experience mathematics for themselves, before the formalities are developed, and it is explicit about the mathematical habits of mind that lie beneath the definitions and theorems.This book is designed for prospective and practicing high school mathematics teachers, but it can serve as a text for standard abstract algebra courses as well. The presentation is organized historically: the Babylonians introduced Pythagorean triples to teach the Pythagorean theorem; these were classified by Diophantus, and eventually this led Fermat to conjecture his Last Theorem. The text shows how much of modern algebra arose in attempts to prove this; it also shows how other important themes in algebra arose from questions related to teaching. Indeed, modern algebra is a very useful tool for teachers, with deep connections to the actual content of high school mathematics, as well as to the mathematics teachers use in their profession that doesn't necessarily ""end up on the blackboard."" The focus is on number theory, polynomials, and commutative rings. Group theory is introduced near the end of the text to explain why generalizations of the quadratic formula do not exist for polynomials of high degree, allowing the reader to appreciate the more general work of Galois and Abel on roots of polynomials.Results and proofs are motivated with specific examples whenever possible, so that abstractions emerge from concrete experience. Applications range from the theory of repeating decimals to the use of imaginary quadratic fields to construct problems with rational solutions. While such applications are integrated throughout, each chapter also contains a section giving explicit connections between the content of the chapter and high school teaching. N° de réf. du vendeur LU-9781939512017
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