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. |
From inside the book
Results 1-5 of 32
Page vi
... of the Dolciani Subcommittee , for their careful and constructive reading of the original manuscript . Their criticisms and suggestions were invaluable . HOWARD EVES Dedicated to Carroll V. Newsom , in friendship and gratitude.
... of the Dolciani Subcommittee , for their careful and constructive reading of the original manuscript . Their criticisms and suggestions were invaluable . HOWARD EVES Dedicated to Carroll V. Newsom , in friendship and gratitude.
Page 6
... said about the number of elements in the sets A n B and A U B ? Generalize to the case of any two finite sets A and B. Further Reading MENNINGER , KARL , Number Words and Number 6 GREAT MOMENTS IN MATHEMATICS ( BEFORE 1650 )
... said about the number of elements in the sets A n B and A U B ? Generalize to the case of any two finite sets A and B. Further Reading MENNINGER , KARL , Number Words and Number 6 GREAT MOMENTS IN MATHEMATICS ( BEFORE 1650 )
Page 7
Howard Eves. Further Reading MENNINGER , KARL , Number Words and Number Symbols , a Cultural History of Numbers . Cambridge , Mass .: The M.I.T. Press , 1969 . ZASLAVSKY , CLAUDIA , Africa Counts . Numbers and Patterns in African Culture ...
Howard Eves. Further Reading MENNINGER , KARL , Number Words and Number Symbols , a Cultural History of Numbers . Cambridge , Mass .: The M.I.T. Press , 1969 . ZASLAVSKY , CLAUDIA , Africa Counts . Numbers and Patterns in African Culture ...
Page 15
... Reading GILLINGS , R. J. , Mathematics in the Time of the Pharaohs . Cambridge , Mass .: The M.1.T. Press , 1972 . NEUGEBAUER , OTTO , The Exuct Sciences in Antiquity . 2nd ed . New York : Harper & Row , 1962 . angles with scissors and ...
... Reading GILLINGS , R. J. , Mathematics in the Time of the Pharaohs . Cambridge , Mass .: The M.1.T. Press , 1972 . NEUGEBAUER , OTTO , The Exuct Sciences in Antiquity . 2nd ed . New York : Harper & Row , 1962 . angles with scissors and ...
Page 25
You have reached your viewing limit for this book.
You have reached your viewing limit for this book.
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 |
Other editions - View all
Common terms and phrases
algebraic altitude analytic ancient angle appears Archimedes Assuming base Book called century chord circle club common compasses computing Consider construction containing counters cubic equation cylinder developed difference digit distance divides draw early Elements ellipse equal equation equivalent established Euclid's example Exercises exists expressed Figure finally formula four geometry give given Greek half known later lecture legs length limit line segment logarithms mathematician mathematics means method multiplication natural obtain original pair parallel Pierre de Fermat plane positive integers present prime problem proof proposition Prove published pyramid Pythagorean radius rational Reading regular represent result right triangle roots rule scale Show side simple solid solution solved sphere square student symbols Take theorem theory tion triangle unit University volume whence writing York