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Results tagged with ho.history-overview
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user 17907
History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
17
votes
History of powers beyond squares and cubes
The first definition of the powers beyond the third is probably in Diophantus' Arithmetica (written somewhere from 100 BC to 300 AD).
In the introduction to that work, he defines fourth powers (δυνα …
- 4,746
4
votes
Tweetable Mathematics
Trichotomy: the rational points on an algebraic curve are parametrizable; form a finitely-generated abelian group; or form a finite set.
17
votes
2
answers
2k
views
Origin of the term "Diophantine equation"
It seems that the term "Diophantine equation" has been around at least since the second half of the 19th century, since the historian Hermann Hankel writes (polemically) in the chapter on Diophantus i …
- 4,746
16
votes
Accepted
reference request: rational points on the unit sphere
The earliest reference is surely Diophantus' Arithmetica. His "method of adequality" can be used to construct rational points on quadrics that approximate real points arbitrarily well (that is, starti …
- 4,746
5
votes
Sine and Archimedes' derivation of the area of the circle
To answer your question 1: it really depends on which set of axioms you consider 'canonical'. If you look at it from the viewpoint of the first-year courses in calculus and vector analysis and the lik …
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