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 22
Page x
... ancient Greek sand tray , a specimen of a palimpsest , an attractively boxed loculus Archimedius , a small demonstration model of an Archimedean screw , a large calibrated circular cylinder with a heavy removable inscribed sphere ...
... ancient Greek sand tray , a specimen of a palimpsest , an attractively boxed loculus Archimedius , a small demonstration model of an Archimedean screw , a large calibrated circular cylinder with a heavy removable inscribed sphere ...
Page xi
... ancient Syracuse . To lighten the oral presentation I introduced bits of humor - bits which might appear somewhat ridiculous if reproduced here in print . But , as I learned years ago at Harvard from my mentor Julian Lowell Coolidge , a ...
... ancient Syracuse . To lighten the oral presentation I introduced bits of humor - bits which might appear somewhat ridiculous if reproduced here in print . But , as I learned years ago at Harvard from my mentor Julian Lowell Coolidge , a ...
Page 2
... ancient Peruvians maintained population and other counts on a quipu - a device consisting of a cord with attached knotted strings of various colors . And , of course , children today keep count of the days till Christmas or a vacation ...
... ancient Peruvians maintained population and other counts on a quipu - a device consisting of a cord with attached knotted strings of various colors . And , of course , children today keep count of the days till Christmas or a vacation ...
Page 10
... ancient Orient ( the world east of Greece ) in the fifth to the third millennium B.C. , to assist in engineering , agricultural , and business pursuits , and in religious ritual . It is interesting that all recorded geometry prior to ...
... ancient Orient ( the world east of Greece ) in the fifth to the third millennium B.C. , to assist in engineering , agricultural , and business pursuits , and in religious ritual . It is interesting that all recorded geometry prior to ...
Page 11
... the specific numbers employed are only incidental . Since all the extant Egyptian pyramids of ancient times are regular square pyramids , we assume that in = the problem we are given a frustum of a. THE GREATEST EGYPTIAN PYRAMID 11.
... the specific numbers employed are only incidental . Since all the extant Egyptian pyramids of ancient times are regular square pyramids , we assume that in = the problem we are given a frustum of a. THE GREATEST EGYPTIAN PYRAMID 11.
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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