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c 2013 by The Mathematical Association of America (Incorporated)

Library of Congress Control Number: 2013940990

Print ISBN: 978-1-93951-201-7

Electronic ISBN: 978-1-61444-612-5

Printed in the United States of America

Current Printing (last digit):

10 9 8 7 6 5 4 3 2 1

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Learning Modern Algebra

From Early Attempts to Prove

Fermat’s Last Theorem

Al Cuoco

EDC, Waltham MA

and

Joseph J. Rotman

University of Illinois at Urbana–Champaign

Published and distributed by

The Mathematical Association of America

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Committee on Books

Frank Farris, Chair

MAA Textbooks Editorial Board

Zaven A. Karian, Editor

Matthias Beck Richard E. Bedient

Thomas A. Garrity

Charles R. Hampton

John Lorch

Susan F. Pustejovsky Elsa J. Schaefer

Stanley E. Seltzer

Kay B. Somers

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Bridge to Abstract Mathematics, Ralph W. Oberste-Vorth, Aristides Mouzakitis, and

Bonita A. Lawrence

Calculus Deconstructed: A Second Course in First-Year Calculus, Zbigniew H. Nitecki

Combinatorics: A Guided Tour, David R. Mazur

Combinatorics: A Problem Oriented Approach, Daniel A. Marcus

Complex Numbers and Geometry, Liang-shin Hahn

A Course in Mathematical Modeling, Douglas Mooney and Randall Swift

Cryptological Mathematics, Robert Edward Lewand

Differential Geometry and its Applications, John Oprea

Elementary Cryptanalysis, Abraham Sinkov

Elementary Mathematical Models, Dan Kalman

An Episodic History of Mathematics: Mathematical Culture Through Problem Solving,

Steven G. Krantz

Essentials of Mathematics, Margie Hale

Field Theory and its Classical Problems, Charles Hadlock

Fourier Series, Rajendra Bhatia

Game Theory and Strategy, Philip D. Straffin

Geometry Revisited, H. S. M. Coxeter and S. L. Greitzer

Graph Theory: A Problem Oriented Approach, Daniel Marcus

Knot Theory, Charles Livingston

Learning Modern Algebra: From Early Attempts to Prove Fermat’s Last Theorem, Al

Cuoco and and Joseph J. Rotman

Lie Groups: A Problem-Oriented Introduction via Matrix Groups, Harriet Pollatsek

Mathematical Connections: A Companion for Teachers and Others, Al Cuoco

Mathematical Interest Theory, Second Edition, Leslie Jane Federer Vaaler and James

W. Daniel

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Mathematical Modeling in the Environment, Charles Hadlock

Mathematics for Business Decisions Part 1: Probability and Simulation (electronic text-

book), Richard B. Thompson and Christopher G. Lamoureux

Mathematics for Business Decisions Part 2: Calculus and Optimization (electronic text-

book), Richard B. Thompson and Christopher G. Lamoureux

Mathematics for Secondary School Teachers, Elizabeth G. Bremigan, Ralph J. Bremi-

gan, and John D. Lorch

The Mathematics of Choice, Ivan Niven

The Mathematics of Games and Gambling, Edward Packel

Math Through the Ages, William Berlinghoff and Fernando Gouvea

Noncommutative Rings, I. N. Herstein

Non-Euclidean Geometry, H. S. M. Coxeter

Number Theory Through Inquiry, David C. Marshall, Edward Odell, and Michael Star-

bird

A Primer of Real Functions, Ralph P. Boas

A Radical Approach to Lebesgue’s Theory of Integration, David M. Bressoud

A Radical Approach to Real Analysis, 2nd edition, David M. Bressoud

Real Infinite Series, Daniel D. Bonar and Michael Khoury, Jr.

Topology Now!, Robert Messer and Philip Straffin

Understanding our Quantitative World, Janet Andersen and Todd Swanson

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