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 ix
... give something that would challenge a good mathematics student and perhaps be of use to teachers of mathematics . The somewhat conflicting aims of the lecture series were finally met as follows . A lecture sequence of some sixty ...
... give something that would challenge a good mathematics student and perhaps be of use to teachers of mathematics . The somewhat conflicting aims of the lecture series were finally met as follows . A lecture sequence of some sixty ...
Page 5
... for this ? 1.4 . The Malinké of West Sudan use the word dibi for " forty . " The word literally means " a mattress . " Can you give an explanation for this ? 1.5 . In British New Guinea , the number " SCRATCHES AND GRUNTS 5.
... for this ? 1.4 . The Malinké of West Sudan use the word dibi for " forty . " The word literally means " a mattress . " Can you give an explanation for this ? 1.5 . In British New Guinea , the number " SCRATCHES AND GRUNTS 5.
Page 11
... gives the better estimate of 318 = 3.125 . Many other examples of the scientific nature of very early geometry are known . One is impressed by the amount of geometry that can be discovered by purely laboratory methods . If , from the ...
... gives the better estimate of 318 = 3.125 . Many other examples of the scientific nature of very early geometry are known . One is impressed by the amount of geometry that can be discovered by purely laboratory methods . If , from the ...
Page 14
... gives too large a result for all nonrectangular quadrilaterals . ( b ) If the Egyptian formula above is assumed correct , show that the area of a triangle would be given by half the sum of two sides multiplied by half the third side ...
... gives too large a result for all nonrectangular quadrilaterals . ( b ) If the Egyptian formula above is assumed correct , show that the area of a triangle would be given by half the sum of two sides multiplied by half the third side ...
Page 22
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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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