More fallacies, flaws, and flimflam
著者
書誌事項
More fallacies, flaws, and flimflam
(MAA spectrum)
Mathematical Association of America, c2013
- : pbk
- タイトル別名
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More fallacies, flaws & flimflam
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注記
"Another collection of Fallacies, Flaws and Flimflam, mostly drawn from the column of this name in the College Mathematics Journal between 2000 and 2008"--Preface, p. xv
Includes index
内容説明・目次
内容説明
Mistakes in mathematical reasoning can range from outlandish blunders to deep and subtle oversights that evade even the most watchful eye. This book represents the second collection of such errors to be compiled by Edward Barbeau. Like Barbeau's previous book, Mathematical Fallacies, Flaws and Flimflam, material is drawn from a variety of sources including the work of students, textbooks, the media, and even professional mathematicians. The errors presented here serve both to entertain, and to emphasise the need to subject even the most 'obvious' assertions to rigorous scrutiny, as intuition and facile reasoning can often be misleading. Each item is carefully analysed and the source of the error is exposed. All students and teachers of mathematics, from school to university level, will find this book both enlightening and entertaining.
目次
- Preface
- 1. Arithmetic
- 2. School algebra
- 3. Geometry
- 4. Limits, sequences and series
- 5. Differential calculus
- 6. Integral calculus
- 7. Combinatorics
- 8. Probability and statistics
- 9. Complex analysis
- 10. Linear and modern algebra
- 11. Miscellaneous.
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