Fallacies in Mathematics
Autor E. A. Maxwellen Limba Engleză Paperback – 7 iun 2006
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Specificații
ISBN-13: 9780521026406
ISBN-10: 0521026407
Pagini: 96
Dimensiuni: 126 x 204 x 9 mm
Greutate: 0.11 kg
Ediția:Revised.
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
ISBN-10: 0521026407
Pagini: 96
Dimensiuni: 126 x 204 x 9 mm
Greutate: 0.11 kg
Ediția:Revised.
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
Cuprins
Preface; 1. The mistake, the howler and the fallacy; 2. Four geometrical fallacies enunciated; 3. Digression on elementary geometry; 4. The 'Isosceles triangle' fallacy analysed; 5. The other geometrical fallacies analysed; 6. Some fallacies in algebra and trigonometry; 7. Fallacies in differentiation; 8. Fallacies in integration; 9. Fallacy by the circular points at infinity; 10. Some 'Limit' fallacies; 11. Some miscellaneous howlers.
Recenzii
'The scope is wide and the fallacies are examined at considerable depth. This book should provide a valuable stimulus to those who follow the byways of mathematics out of sheer interest. It deserves a place on the bookshelf of every teacher of mathematics at sixth form or equivalent levels, and will prove a useful addition to the mathematics section of the school or college library.' Technical Education
'Dr Maxwell is the unchallenged master of fallacious argument (if he will pardon this way of putting it), and his book must not be regarded merely as a diversion, a Chamber of Horrors, a manual of oddities. University teachers often complain that pupils leave school equipped with techniques but with little idea of what mathematics is really about, and also that they show poor appreciation of the need for logical precision … by showing mathematics in sickness this book can help teachers to show it in health.' Mathematics Teaching
'It is hard to imagine a more pleasant way of arousing a class to an appreciation of the importance and even the fascination of mathematical rigour. Besides, teachers will be well advised to master the book before it comes into the hands of pupils.' Technology
'Enjoyment as well as enlightenment is provided by trying to detect the fallacies, or at least by reading the solutions given by the author of this lovely little work.' Science
'This is a book for every sixth-form mathematics classroom, and indeed for anyone who is at all interested in mathematics. There is no other book like it.' The Times Educational Supplement
'Dr Maxwell is the unchallenged master of fallacious argument (if he will pardon this way of putting it), and his book must not be regarded merely as a diversion, a Chamber of Horrors, a manual of oddities. University teachers often complain that pupils leave school equipped with techniques but with little idea of what mathematics is really about, and also that they show poor appreciation of the need for logical precision … by showing mathematics in sickness this book can help teachers to show it in health.' Mathematics Teaching
'It is hard to imagine a more pleasant way of arousing a class to an appreciation of the importance and even the fascination of mathematical rigour. Besides, teachers will be well advised to master the book before it comes into the hands of pupils.' Technology
'Enjoyment as well as enlightenment is provided by trying to detect the fallacies, or at least by reading the solutions given by the author of this lovely little work.' Science
'This is a book for every sixth-form mathematics classroom, and indeed for anyone who is at all interested in mathematics. There is no other book like it.' The Times Educational Supplement
Descriere
As Dr Maxwell writes in his preface to this book, his aim has been to instruct through entertainment.