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 x
... method of equilibrium . Recently , at an oral presentation of this lecture , I had at the lecture desk a reproduction of an ancient Greek sand tray , a specimen of a palimpsest , an attractively boxed loculus Archimedius , a small ...
... method of equilibrium . Recently , at an oral presentation of this lecture , I had at the lecture desk a reproduction of an ancient Greek sand tray , a specimen of a palimpsest , an attractively boxed loculus Archimedius , a small ...
Page xiv
... method of indivisibles ( 1635 ) , 194 ... 206 ..215 LECTURE TWENTY . The transform - solve - invert technique 23. The invention of analytic geometry ( 1637 ) Hints for the solution of some of the exercises .. , ..229 Index . ..261 ( a ) ...
... method of indivisibles ( 1635 ) , 194 ... 206 ..215 LECTURE TWENTY . The transform - solve - invert technique 23. The invention of analytic geometry ( 1637 ) Hints for the solution of some of the exercises .. , ..229 Index . ..261 ( a ) ...
Page 2
... method employing the principle of one - to - one correspondence and was probably the beginning of the science of writing . It seems fair to surmise that in keeping a count of a small collection , one finger was either raised or turned ...
... method employing the principle of one - to - one correspondence and was probably the beginning of the science of writing . It seems fair to surmise that in keeping a count of a small collection , one finger was either raised or turned ...
Page 11
... methods . If , from the accumulation of examples of scientific geometry that have come down to us from antiquity , one were to pick an outstanding instance that might serve as a GREAT MOMENT IN MATHEMATICS , one could scarcely do better ...
... methods . If , from the accumulation of examples of scientific geometry that have come down to us from antiquity , one were to pick an outstanding instance that might serve as a GREAT MOMENT IN MATHEMATICS , one could scarcely do better ...
Page 13
... method of finding the area of a circle is equivalent to taking = ( 4/3 ) 4 = 3.1604 .... ( b ) Form an octagon from a square of side 9 units by trisecting the sides of the square and then cutting off the four triangular corners . The ...
... method of finding the area of a circle is equivalent to taking = ( 4/3 ) 4 = 3.1604 .... ( b ) Form an octagon from a square of side 9 units by trisecting the sides of the square and then cutting off the four triangular corners . The ...
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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