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 v
... exercises , many with accompanying solutions . They are intended to be sufficiently elementary for the undergraduate and even the mathematically inclined high - school student to understand and enjoy , but also to be interesting and ...
... exercises , many with accompanying solutions . They are intended to be sufficiently elementary for the undergraduate and even the mathematically inclined high - school student to understand and enjoy , but also to be interesting and ...
Page xiv
... invert technique 23. The invention of analytic geometry ( 1637 ) Hints for the solution of some of the exercises .. , ..229 Index . ..261 ( a ) Show that , actually , the formula xiv GREAT MOMENTS IN MATHEMATICS ( BEFORE 1650 )
... invert technique 23. The invention of analytic geometry ( 1637 ) Hints for the solution of some of the exercises .. , ..229 Index . ..261 ( a ) Show that , actually , the formula xiv GREAT MOMENTS IN MATHEMATICS ( BEFORE 1650 )
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... Exercises 1.1 . Explain the Papuan translation of the Bible passage John 5 : 5 cited in the lecture text . 1.2 . Explain how " peak - finger " became the word for " three " among the Kamayura tribe of South America . 1.3 . The Zulus of ...
... Exercises 1.1 . Explain the Papuan translation of the Bible passage John 5 : 5 cited in the lecture text . 1.2 . Explain how " peak - finger " became the word for " three " among the Kamayura tribe of South America . 1.3 . The Zulus of ...
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... Exercises 2.1 . ( a ) Follow through the empirical procedure , described in the lecture text , leading to the old Chinese formula for the area of a segment of a circle . ( b ) Show that applying the formula to a semicircular segment is ...
... Exercises 2.1 . ( a ) Follow through the empirical procedure , described in the lecture text , leading to the old Chinese formula for the area of a segment of a circle . ( b ) Show that applying the formula to a semicircular segment is ...
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... Exercise 2.9 . Horizontally slice P into three equal parts each of altitude h / 3 and designate one of these slices by U. Combine A , B , C , D into a rectangular parallelepiped of base b ( a - b ) and altitude h , and horizontally ...
... Exercise 2.9 . Horizontally slice P into three equal parts each of altitude h / 3 and designate one of these slices by U. Combine A , B , C , D into a rectangular parallelepiped of base b ( a - b ) and altitude h , and horizontally ...
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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