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Cult of Pythagoras, The - Math and Myths (Paperback)
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Cult of Pythagoras, The - Math and Myths (Paperback)
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In this follow-up to his popular Science Secrets, Alberto A.
Mart\u00ednez discusses various popular myths from the history of
mathematics: that Pythagoras proved the hypotenuse theorem, that
Archimedes figured out how to test the purity of a gold crown while
he was in a bathtub, that the Golden Ratio is in nature and ancient
architecture, that the young Galois created group theory the night
before the pistol duel that killed him, and more. Some stories are
partly true, others are entirely false, but all show the power of
invention in history. Pythagoras emerges as a symbol of the urge to
conjecture and \u201cfill in the gaps\u201d of history. He has been
credited with fundamental discoveries in mathematics and the
sciences, yet there is nearly no evidence that he really
contributed anything to such fields at all. This book asks: how
does history change when we subtract the many small exaggerations
and interpolations that writers have added for over two thousand
years? The Cult of Pythagoras is also about invention in a positive
sense. Most people view mathematical breakthroughs as
\u201cdiscoveries\u201d rather than invention or creativity,
believing that mathematics describes a realm of eternal ideas. But
mathematicians have disagreed about what is possible and
impossible, about what counts as a proof, and even about the
results of certain operations. Was there ever invention in the
history of concepts such as zero, negative numbers, imaginary
numbers, quaternions, infinity, and infinitesimals? Mart\u00ednez
inspects a wealth of primary sources, in several languages, over a
span of many centuries. By exploring disagreements and ambiguities
in the history of the elements of mathematics, The Cult of
Pythagoras dispels myths that obscure the actual origins of
mathematical concepts. Mart\u00ednez argues that an accurate
history that analyzes myths reveals neglected aspects of
mathematics that can encourage creativity in students and
mathematicians.
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