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 33
Page 11
... 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 , result 28. You are to take one - third of 6 , result 2. You are to take 28 twice , result 56. See , it is 56. You ...
... 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 , result 28. You are to take one - third of 6 , result 2. You are to take 28 twice , result 56. See , it is 56. You ...
Page 14
... 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 . We find this ...
... 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 . We find this ...
Page 17
... result has been obtained by a small chain of deductive reasoning , stemming from a more fundamental result . This type of geometry is known as demonstrative ( or deductive , or systematic ) geometry , and was considerably developed by ...
... result has been obtained by a small chain of deductive reasoning , stemming from a more fundamental result . This type of geometry is known as demonstrative ( or deductive , or systematic ) geometry , and was considerably developed by ...
Page 18
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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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