Titlebook: Mathematics and Its History; John Stillwell Textbook 19891st edition Springer Science+Business Media New York 1989 Calc.Finite.Mathematica

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Mathematics and Its History978-1-4899-0007-4Series ISSN 0172-6056 Series E-ISSN 2197-5604

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0172-6056 ulus, algebra, topology, and so on, but the division of labor in teaching seems to prevent these different topics from being combined into a whole. In fact, some of the most important and natural questions are stifled because they fall on the wrong side of topic boundary lines. Algebraists do not di

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The Revival of Number Theory,after the period we are about to cover. A full account of its history may be found in Libbrecht [1973], Ch. 5. Pascal’s triangle, on the other hand, began to flourish in the seventeenth-century after a long dormancy, so it is of interest to see what was known of it in medieval times and what Pascal did to revive it.

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Elliptic Functions,st way to understand it is to compare it with a fictitious history of circular functions which begins with the integral . and ends with the discovery of the circle. Unlikely as this fiction is, it was paralleled by the actual development of elliptic functions between the 1650s and the 1850s.

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Group Theory,uct, or composition, of functions. If . are functions, then . is the function whose value for argument . is .[.(.)]. (The reason for writing .[.(.)] as . is that its meaning is “apply ., then ..” We have to pay attention to order because in general . ≠ .)

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