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 3
... common property of two , represented by some sound considered independently of any concrete association , probably was a long time in arriving . Our present number words in all likelihood originally referred to sets of certain concrete ...
... common property of two , represented by some sound considered independently of any concrete association , probably was a long time in arriving . Our present number words in all likelihood originally referred to sets of certain concrete ...
Page 4
... common among primitive people , and even among sophisticated people , to accompany verbal counting with gestures . For example , in some tribes the word " ten " is frequently accompanied by clapping one hand against the palm of the ...
... common among primitive people , and even among sophisticated people , to accompany verbal counting with gestures . For example , in some tribes the word " ten " is frequently accompanied by clapping one hand against the palm of the ...
Page 6
... common . Then , by a + B , called the sum of a and ß , we mean the cardinal number of the set A U B. This binary operation on cardinal numbers is called addition . Prove that addition of cardinal numbers is commutative and associative ...
... common . Then , by a + B , called the sum of a and ß , we mean the cardinal number of the set A U B. This binary operation on cardinal numbers is called addition . Prove that addition of cardinal numbers is commutative and associative ...
Page 13
... regular hexagon to the circumference of the circumscribed circle is given as 57/60 + 36/3600 . Show that this leads to 348 as an approximation of a . 2.4 . The idea of averaging is common in empirical THE GREATEST EGYPTIAN PYRAMID 13.
... regular hexagon to the circumference of the circumscribed circle is given as 57/60 + 36/3600 . Show that this leads to 348 as an approximation of a . 2.4 . The idea of averaging is common in empirical THE GREATEST EGYPTIAN PYRAMID 13.
Page 14
Howard Eves. 2.4 . The idea of averaging is common in empirical work . Thus we find , in the Rhind papyrus , the area of a quadrilateral having successive sides a , b , c , d given by K = ( *** ) ( + 4 ) 2.8 . Assuming the familiar ...
Howard Eves. 2.4 . The idea of averaging is common in empirical work . Thus we find , in the Rhind papyrus , the area of a quadrilateral having successive sides a , b , c , d given by K = ( *** ) ( + 4 ) 2.8 . Assuming the familiar ...
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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