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Learning Modern Algebra: From Early Attempts to Prove Fermat's Last Theorem (Maa Textbooks) (Mathematical Association of America Textbooks)

Joseph J. Rotman Al Cuoco

€ 86.73

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Description for Learning Modern Algebra: From Early Attempts to Prove Fermat's Last Theorem (Maa Textbooks) (Mathematical Association of America Textbooks) Hardcover. 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.
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 ... Read more

Product Details

Format

Hardback

Publication date

2013

Publisher

Mathematical Association of America

Condition

New

Series

Mathematical Association of America Textbooks

Number of Pages

480

Place of Publication

Washington, United States

ISBN

9781939512017

SKU

V9781939512017

Shipping Time

Usually ships in 7 to 11 working days

Ref

99-1

About Joseph J. Rotman Al Cuoco

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 ... Read more

Reviews for Learning Modern Algebra: From Early Attempts to Prove Fermat's Last Theorem (Maa Textbooks) (Mathematical Association of America Textbooks)

This book covers abstract algebra from a historical perspective by using mathematics from attempts to prove Fermat's last theorem, as the title indicates. The target audience is high school mathematics teachers. However, typical undergraduate students will also derive great benefit by studying this text. The book is permeated with fascinating mathematical nuggets that are clearly explained." - D. P. Turner, ... Read moreCHOICE "This book is destined for college students in the U.S. who intend to teach mathematics in high school. The reviewer finds it even more apt as a text for algebra courses. Special features in the book are side notes given and printed prominently at the margins of the pages, like: How to think about it, Historical notes, Etymology of notions and words. … The reviewer considers the book a refreshing read among the vast amount of books dealing with similar topics." - Robert W. van der Waall, Zentrallblatt MATH "Although this book is designed for college students who want to teach in high school," its mathematical richness fits it admirably as a text for a first abstract algebra course or a handbook for assiduous students working on their own. While definitions, examples, theorems and their proofs are organized formally, the book is enhanced by substantial historical notes, advice on "how to think about it," marginal comments, connections and etymology that are designed to "balance experience and formality." The book is tightly organized with the goal of elucidating developments leading to the solution of the Fermat conjecture and the theory of solvability by radicals." - E. J. Barbeau, Mathematical Reviews "The primary intended audience of the book is future high school teachers. The authors take great pains to relate the material covered here to subjects that are taught in high school mathematics classes. … In writing this book, the authors have obviously kept the needs of the student reader firmly in mind at all times. The writing style is not just clear; iit is often conversational and humorous. … There are lots of exercises covering a wide range of difficulty, some with hints (but none with complete solutions) and there is a pretty good 39-entry bibliography. … What might be a very interesting use for this book would be as a text for a senior seminar or “topics” course for students who already have some prior exposure to abstract algebra. And, of course, whatever may be the applicability of this book as a text for undergraduate course, it seems clear to me that it belongs in any good undergraduate library." - Mark Hunacek, MAA Reviews Show Less

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Learning Modern Algebra: From Early Attempts to Prove Fermat's Last Theorem (Maa Textbooks) (Mathematical Association of America Textbooks)

Joseph J. Rotman Al Cuoco

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Goodreads reviews for Learning Modern Algebra: From Early Attempts to Prove Fermat's Last Theorem (Maa Textbooks) (Mathematical Association of America Textbooks)

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