Mathematical fallacies, flaws, and flimflam
著者
書誌事項
Mathematical fallacies, flaws, and flimflam
（MAA spectrum）
Mathematical Association of America, c2000
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 1. Numbers
- 2. Algebra and trigonometry
- 3. Geometry
- 4. Finite mathematics
- 5. Probability
- 6. Calculus: limits and derivatives
- 7. Calculus: integration and differential equations
- 8. Calculus: multivariate and applications
- 9. Linear and modern algebra
- 10. Advanced undergraduate mathematics
- 11. Parting shots.
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