Mathematical Fallacies, Flaws, and Flimflam by Edward Barbeau

Mathematical Fallacies, Flaws, and Flimflam by Edward Barbeau

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Summary

Through hard experience mathematicians have learned to subject even the most 'evident' assertions to rigorous scrutiny, as intuition can often be misleading. This book collects and analyses a mass of such errors, drawn from the work of students, textbooks, and the media, as well as from professional mathematicians themselves.

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Mathematical Fallacies, Flaws, and Flimflam by Edward Barbeau

Through hard experience mathematicians have learned to subject even the most 'evident' assertions to rigorous scrutiny, as intuition and facile reasoning can often be misleading. However, errors can slip past the most watchful eye, they are often subtle and difficult to detect; but when found they can teach us a lot and can present a real challenge to straighten out. This book collects together a mass of such errors, drawn from the work of students, textbooks, and the media, as well as from professional mathematicians themselves. Each of these items is carefully analysed and the source of the error is exposed. All serious students of mathematics will find this book both enlightening and entertaining.
For several years now, Ed Barbeau has been editing a regular column in the CMJ called Fallacies, Flaws, and FlimflamThe column collects interesting examples of mistakes, fallacies, and other mathematical howlers. Some come from students, some from publications, others from contributors who have invented their own swindles and fallacies. This book (which acquired a 'Mathematical' in the title to accomodate readers unfamiliar with the column) is a kind of 'Best of FFF.' It collects over 150 articles from the column, organized by topic into sections ranging from 'Numbers' to 'Advanced Undergraduate Mathematics,' with some 'Parting Shots' thrown in for good measure. There are some wild errors and some quite subtle ones; some things we recognize from many past student productions, others that are quite original...Collected together, they make a book of the sort one reads compulsively from cover to cover. I suspect it can be very useful in our teaching, since some of these creative mistakes would make great discussion starters...Mathematical Fallacies, Flaws, and Flimflam is definitely worth your time.""- Fernando Q. Gouvea, MAA Reviews
SKU Unavailable
ISBN 13 9780883855294
ISBN 10 0883855291
Title Mathematical Fallacies, Flaws, and Flimflam
Author Tyler Scott
Series Spectrum
Condition Unavailable
Binding Type Paperback
Publisher The Mathematical Association Of America
Year published 2000-06-15
Number of pages 182
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable