Fallacies in Mathematics~tqw~ darksiderg

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INFO
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Title................: Fallacies in Mathematics
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 2.85 MB
Torrent Hash.........: 3F9368A0A127C3E658567E6778A74EC14DE73A93
Posted by............: ~tqw~

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CONTENTS
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Synopsis:
As Dr Maxwell writes in his preface to this book, his aim has been to
instruct through entertainment. 'The general theory is that a wrong idea may
often be exposed more convincingly by following it to its absurd conclusion
than by merely announcing the error and starting again. Thus a number of
by-ways appear which, it is hoped, may amuse the professional, and help to
tempt back to the subject those who thought they were losing interest.' The
standard of knowledge expected is fairly elementary. In most cases a
straightforward statement of the fallacious argument is followed by an
exposure in which the error is traced to the most elementary source, and
this process often leads to an analysis which is often of unexpected depth.
Many students will discover just how mathematically minded they are when
they read this book; nor is that the only discovery they will make. Teachers
of mathematics in schools and technical schools, colleges and universities
will also be sure to find something here to please them.

Table Of Contents:
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.

Product Details:
* ISBN: 0521026407
* ISBN-13: 9780521026406
* Format: Paperback, 95pp
* Publisher: Cambridge University Press
* Pub. Date: March 2006
* Edition Description: 1ST

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Greetz Fellow UL'ers
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