Learning Modern Algebra: From Early Attempts to Prove Fermat S Last Theorem (Mathematical Association of America Textbooks) - Hardcover
Synopsis
A guide to modern algebra for mathematics teachers. It makes explicit connections between abstract algebra and high-school mathematics.
"synopsis" may belong to another edition of this title.
About the Authors
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.
"About this title" may belong to another edition of this title.
Search results for Learning Modern Algebra: From Early Attempts to Prove...
Stock Image
Learning Modern Algebra (Mathematical Association of America Textbooks)
Published by
American Mathematical Society, 2013
ISBN 10: 1939512018
ISBN 13: 9781939512017
Used
Hardcover
Seller: HPB-Red, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_447281492
Stock Image
Learning Modern Algebra (Mathematical Association of America Textbooks)
Published by
American Mathematical Society, 2015
ISBN 10: 1939512018
ISBN 13: 9781939512017
New
Hardcover
First Edition
Seller: Textbooks_Source, Columbia, MO, U.S.A.
Seller rating 5 out of 5 stars
hardcover. Condition: New. 1st Edition. Ships in a BOX from Central Missouri! UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). Seller Inventory # 001759845N
Stock Image
Learning Modern Algebra (Mathematical Association of America Textbooks)
Published by
American Mathematical Society, 2015
ISBN 10: 1939512018
ISBN 13: 9781939512017
New
Hardcover
Seller: GoldBooks, Denver, CO, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: new. New Copy. Customer Service Guaranteed. Seller Inventory # 91U32_81_1939512018
Seller Image
Learning Modern Algebra : From Early Attempts to Prove Fermat's Last Theorem
Published by
American Mathematical Society, 2015
ISBN 10: 1939512018
ISBN 13: 9781939512017
New
Hardcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 20146473-n
Seller Image
Learning Modern Algebra : From Early Attempts to Prove Fermat's Last Theorem
Published by
American Mathematical Society, 2015
ISBN 10: 1939512018
ISBN 13: 9781939512017
Used
Hardcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 20146473
Stock Image
Learning Modern Algebra (eng)
Published by
American Mathematical Society, 2015
ISBN 10: 1939512018
ISBN 13: 9781939512017
New
Hardcover
Seller: Brook Bookstore On Demand, Napoli, NA, Italy
Seller rating 3 out of 5 stars
Condition: new. Seller Inventory # ba6a348fab5d947a1daf88b621a95095
Stock Image
Learning Modern Algebra (Hardcover)
Published by
Mathematical Association of America, Washington, 2013
ISBN 10: 1939512018
ISBN 13: 9781939512017
New
Hardcover
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. 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. Aligns with the CBMS Mathematical Education of Teachers II recommendations, in both content and practice. This volume emphasizes rings and fields over groups, and 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781939512017
Seller Image
Learning Modern Algebra
Published by
Mathematical Association of America, US, 2013
ISBN 10: 1939512018
ISBN 13: 9781939512017
New
Hardcover
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: 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. Seller Inventory # LU-9781939512017
Buy New
£ 72.80
Free Shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 2 available
Stock Image
Learning Modern Algebra
Published by
MP-AMM American Mathematical, 2013
ISBN 10: 1939512018
ISBN 13: 9781939512017
New
Hardcover
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # FW-9781939512017
Buy New
£ 67.22
£ 6.76 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 4 available
Stock Image
Learning Modern Algebra: From Early Attempts to Prove Fermat's Last Theorem (Maa Textbooks) (Mathematical Association of America Textbooks)
Published by
Mathematical Association of America, 2013
ISBN 10: 1939512018
ISBN 13: 9781939512017
New
Hardcover
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
Condition: 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. . . . . Seller Inventory # V9781939512017