Edward J. Barbeau's Books

Five Hundred Mathematical Challenges

By: Edward J. Barbeau,Edward Barbeau,Murray S. Klamkin,W. O. J. Moser

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Five Hundred Mathematical Challenges

By: Edward J. Barbeau,Edward Barbeau,Murray S. Klamkin,W. O. J. Moser

Contains 500 problems ranging over a wide spectrum of mathematics and of levels of difficulty.

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Page Count

244

Publisher

MAA

Published Date

ISBN 10

0883855194

ISBN 13

9780883855195

University of Toronto Mathematics Competition (2001–2015)

By: Edward J. Barbeau

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University of Toronto Mathematics Competition (2001–2015)

By: Edward J. Barbeau

This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in chronological order as presented to the students. The solutions appear in subsequent chapters according to subject matter. Appendices recall some background material and list the names of students who did well. The University of Toronto Undergraduate Competition was founded to provide additional competition experience for undergraduates preparing for the Putnam competition, and is particularly useful for the freshman or sophomore undergraduate. Lecturers, instructors, and coaches for mathematics competitions will find this presentation useful. Many of the problems are of intermediate difficulty and relate to the first two years of the undergraduate curriculum. The problems presented may be particularly useful for regular class assignments. Moreover, this text contains problems that lie outside the regular syllabus and may interest students who are eager to learn beyond the classroom.

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Page Count

210

Publisher

Springer

Published Date

ISBN 10

3319281062

ISBN 13

9783319281063

More Fallacies, Flaws & Flimflam

By: Edward J. Barbeau

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More Fallacies, Flaws & Flimflam

By: Edward J. Barbeau

More Fallacies, Flaws, and Flimflam is the second volume of selections drawn mostly from the College Mathematics Journal column “Fallacies, Flaws, and Flimflam” from 2000 through 2008. The MAA published the first collection, Mathematical Flaws, Fallacies, and Flimflam, in 2000. As in the first volume, More Fallacies, Flaws, and Flimflam contains items ranging from howlers (outlandish procedures that nonetheless lead to a correct answer) to deep or subtle errors often made by strong students. Although some are provided for entertainment, others challenge the reader to determine exactly where things go wrong. Items are sorted by subject matter. Elementary teachers will find chapter 1 of most use, while middle and high schoolteachers will find chapters 1, 2, 3, 7, and 8 applicable to their levels. College instructors can delve for material in every part of the book. There are frequent references to the College Mathematics Journal; these are denoted by CMJ.

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Page Count

189

Publisher

MAA

Published Date

ISBN 10

0883855801

ISBN 13

9780883855805

Mathematical Fallacies, Flaws, and Flimflam

By: Edward J. Barbeau

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Mathematical Fallacies, Flaws, and Flimflam

By: Edward J. Barbeau

A collection of mathematical errors, drawn from the work of students, textbooks, and the media, as well as from professional mathematicians themselves.

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Page Count

167

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1614445184

ISBN 13

9781614445180

Pell’s Equation

By: Edward J. Barbeau

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Pell’s Equation

By: Edward J. Barbeau

Pell's equation is part of a central area of algebraic number theory that treats quadratic forms and the structure of the rings of integers in algebraic number fields. It is an ideal topic to lead college students, as well as some talented and motivated high school students, to a better appreciation of the power of mathematical technique. Even at the specific level of quadratic diophantine equations, there are unsolved problems, and the higher degree analogues of Pell's equation, particularly beyond the third, do not appear to have been well studied. In this focused exercise book, the topic is motivated and developed through sections of exercises which will allow the readers to recreate known theory and provide a focus for their algebraic practice. There are several explorations that encourage the reader to embark on their own research. A high school background in mathematics is all that is needed to get into this book, and teachers and others interested in mathematics who do not have (or have forgotten) a background in advanced mathematics may find that it is a suitable vehicle for keeping up an independent interest in the subject.

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Page Count

220

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387226028

ISBN 13

9780387226026

How Euler Did Even More

By: C. Edward Sandifer

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How Euler Did Even More

By: C. Edward Sandifer

Sandifer has been studying Euler for decades and is one of the world’s leading experts on his work. This volume is the second collection of Sandifer’s “How Euler Did It” columns. Each is a jewel of historical and mathematical exposition. The sum total of years of work and study of the most prolific mathematician of history, this volume will leave you marveling at Euler’s clever inventiveness and Sandifer’s wonderful ability to explicate and put it all in context.

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Page Count

254

Publisher

The Mathematical Association of America

Published Date

ISBN 10

0883855844

ISBN 13

9780883855843

The Early Mathematics of Leonhard Euler

By: C. Edward Sandifer

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The Early Mathematics of Leonhard Euler

By: C. Edward Sandifer

The Early Mathematics of Leonhard Euler gives an article-by-article description of Leonhard Euler's early mathematical works; the 50 or so mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These early pieces contain some of Euler's greatest work, the Konigsberg bridge problem, his solution to the Basel problem, and his first proof of the Euler-Fermat theorem. It also presents important results that we seldom realize are due to Euler; that mixed partial derivatives are (usually) equal, our f(x) f(x) notation, and the integrating factor in differential equations. The books shows how contributions in diverse fields are related, how number theory relates to series, which, in turn, relate to elliptic integrals and then to differential equations. There are dozens of such strands in this beautiful web of mathematics. At the same time, we see Euler grow in power and sophistication, from a young student when at 18 he published his first work on differential equations (a paper with a serious flaw) to the most celebrated mathematician and scientist of his time. It is a portrait of the world's most exciting mathematics between 1725 and 1741, rich in technical detail, woven with connections within Euler's work and with the work of other mathematicians in other times and places, laced with historical context.

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Page Count

391

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470451808

ISBN 13

9781470451806

Book's by Edward J. Barbeau

Five Hundred Mathematical Challenges

Five Hundred Mathematical Challenges

University of Toronto Mathematics Competition (2001–2015)

University of Toronto Mathematics Competition (2001–2015)

More Fallacies, Flaws & Flimflam

More Fallacies, Flaws & Flimflam

Mathematical Fallacies, Flaws, and Flimflam

Mathematical Fallacies, Flaws, and Flimflam

Pell’s Equation

Pell’s Equation

How Euler Did Even More

How Euler Did Even More

The Early Mathematics of Leonhard Euler

The Early Mathematics of Leonhard Euler

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