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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Results 1-5 of 86
Page 9
... given by the product of its two dimensions . Again , in measuring , by a tape measure , the circumferences of a number of wooden circular discs , the young pupil would induce that the circumference of any circle is somewhat more than ...
... given by the product of its two dimensions . Again , in measuring , by a tape measure , the circumferences of a number of wooden circular discs , the young pupil would induce that the circumference of any circle is somewhat more than ...
Page 10
... given to examining the laboratory nature of the geometry of the ancient Babylonians , Egyptians , Hindus , and Chinese . To illustrate , consider an early Chinese formula for the area of a segment of a circle . The formula is found in ...
... given to examining the laboratory nature of the geometry of the ancient Babylonians , Egyptians , Hindus , and Chinese . To illustrate , consider an early Chinese formula for the area of a segment of a circle . The formula is found in ...
Page 11
... given a truncated pyramid of 6 for the vertical height by 4 on the base by 2 on the top . You are to square this 4 , result 16. You are to double 4 , result 8. You are to square 2 , result 4 . You are to add the 16 , the 8 , and the 4 ...
... given a truncated pyramid of 6 for the vertical height by 4 on the base by 2 on the top . You are to square this 4 , result 16. You are to double 4 , result 8. You are to square 2 , result 4 . You are to add the 16 , the 8 , and the 4 ...
Page 12
... given truncated pyramid found by the correct formula = { n ( B , + VB , B2 + B2 ) for the volume of any frustum of a pyramid with lower base of area Bi , upper base of area B2 , and altitude h . Let us pause a moment to consider ...
... given truncated pyramid found by the correct formula = { n ( B , + VB , B2 + B2 ) for the volume of any frustum of a pyramid with lower base of area Bi , upper base of area B2 , and altitude h . Let us pause a moment to consider ...
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.
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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