Great Moments in Mathematics Before 1650American Mathematical Soc., 1983 M12 31 - 270 pages Great Moments in Mathematics: Before 1650 is the product of a series of lectures on the history of mathematics given by Howard Eves. He presents here, in chronological order, 20 ``great moments in mathematics before 1650'', which can be appreciated by anyone who enjoys mathematics. These wonderful lectures could be used as the basis of a course on the history of mathematics but can also serve as enrichment to any mathematics course. Included are lectures on the Pythagorean Theorem, Euclid's Elements, Archimedes (on the sphere), Diophantus, Omar Khayyam, and Fibonacci. |
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Page x
... example , LECTURE 9 of the curtailed series , devoted to Archimedes and his method of equilibrium . Recently , at an oral presentation of this lecture , I had at the lecture desk a reproduction of an ancient Greek sand tray , a specimen ...
... example , LECTURE 9 of the curtailed series , devoted to Archimedes and his method of equilibrium . Recently , at an oral presentation of this lecture , I had at the lecture desk a reproduction of an ancient Greek sand tray , a specimen ...
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... examples above , be made by assembling pebbles or sticks , by making scratches in the dirt or on a stone , by cutting notches on a bone or in a piece of wood , or by tying knots in a string . Perhaps later an assortment of grunts was ...
... examples above , be made by assembling pebbles or sticks , by making scratches in the dirt or on a stone , by cutting notches on a bone or in a piece of wood , or by tying knots in a string . Perhaps later an assortment of grunts was ...
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... example , for two sheep and two men . One merely has to recall that in English we still use team of horses , span of mules , yoke of oxen , brace of partridge , pair of shoes . The ultimate abstraction of the common property of two ...
... example , for two sheep and two men . One merely has to recall that in English we still use team of horses , span of mules , yoke of oxen , brace of partridge , pair of shoes . The ultimate abstraction of the common property of two ...
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... example , in some tribes the word " ten " is frequently accompanied by clapping one hand against the palm of the other , and the word " six " is sometimes accompanied by passing one hand rapidly over the other . Karl Menninger says that ...
... example , in some tribes the word " ten " is frequently accompanied by clapping one hand against the palm of the other , and the word " six " is sometimes accompanied by passing one hand rapidly over the other . Karl Menninger says that ...
Page 9
... example , in measuring the areas of various rectangles drawn upon quadrille - ruled paper by counting the number of little squares of the paper found inside the rectangles , a young grade - school pupil would soon induce that the area ...
... example , in measuring the areas of various rectangles drawn upon quadrille - ruled paper by counting the number of little squares of the paper found inside the rectangles , a young grade - school pupil would soon induce that the area ...
Contents
8 | |
16 | |
Lecture 4 The first great theorem | 26 |
Lecture 5 Precipitation of the first crisis | 43 |
Lecture 6 Resolution of the crisis | 53 |
Lecture 7 First step in organizing mathematic | 62 |
Lecture 8 The mathematicians bible | 70 |
Lecture 9 The thinker and the thug | 83 |
Lecture 14 The poetmathematician of khorasan | 148 |
Lecture 15 The blockhead | 160 |
Lecture 16 An extraordinary and bizarre story | 172 |
Lecture 17 Doubling the life of the astronomer | 182 |
Lecture 18 The stimulating of science | 194 |
Lecture 19 Slicing it thin | 206 |
Lecture 20 The transformsolveinvert technique | 215 |
Hints of the solution of some of the exercises | 229 |
Lecture 10 A boost from astronomy | 96 |
Lecture 11 the first great number theorist | 110 |
Lecture 12 The syncopation of algebra | 126 |
Lecture 13 Two early computing inventions | 135 |
Index | 261 |
Back cover | 271 |
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