Riddles in Math: Book of Paradoxes
Eugene Northrop, "Riddles in Math: Book of Paradoxes"
1975 | pages: 271 | ISBN: 0882752731 | PDF | 15,7 mb
1975 | pages: 271 | ISBN: 0882752731 | PDF | 15,7 mb
The Contents list may be taken as a glimpse of its riches.
What is a Paradox?
Paradoxes for Everyone
… in Arithmetic
… in Geometry
Algebraical Fallacies
Geometrical Fallacies
Paradoxes of the Infinite
… in Probability
… in Logic
This may sound daunting. But Northrop has a deft turn of phrase, a gift for speaking clearly, and lots of diagrams. And he finds humour among the headaches.
His discursive discussion covers such anomalies as:
– proving that any triangle is isosceles;
– minus 1 is greater than plus 1;
– the traps of dividing by zero;
– Moebius strips that have ONE side, not two;
– the fact that there are as many even numbers as there are even-plus-odd numbers;
– Georg Cantor's astounding proofs of the countability of all the fractions, and the uncountability of all the (infinite) decimals;
… and so on.
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