![]() The history of mathematics as told through these and other similar texts runs like this: The Greeks invented mathematics then as Europe was falling into the Dark Ages, Muslims ran to the rescue Muslims carefully guarded mathematics for a few centuries with the arrival of the Renaissance, the Muslims handed mathematics back to the Europeans who gracefully accepted the gift, and who have ever since been championing the progress of mathematics. As impressive as these books are, like many other books on the history of science, they are unfortunately very Eurocentric. A more current reference for the history of mathematics is. ![]() Most of the material in this chapter has been reviewed in the first volume, especially Ch. The standard reference for the history of classical number theory is Dickson’s History of the theory of numbers in three volumes. A far more interesting problem is to show that if \(p \ge 5\), \(p^2 \mid a\). ![]() Show that if we write \(1 1/2 \dots 1/(p-1)\) as a fraction a / b with \(a, b \in \mathbb N\), then \(p \mid a\).
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