Great Moments in Mathematics (before 1650)Mathematical Association of America, 1983 - 270 pages [V.1] 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 1-3 of 21
Page 58
... student contemplates the concept in significant situations , the better . Next , the theory of limits is essential in any geometric study of areas and volumes . Finally , the inclusion of a discussion of limits in the high school can ...
... student contemplates the concept in significant situations , the better . Next , the theory of limits is essential in any geometric study of areas and volumes . Finally , the inclusion of a discussion of limits in the high school can ...
Page 221
... student a true appreciation of the subject ; this is particularly so in those courses where analytic geometry is reduced to just the barest minimum needed for a first study of the calculus . The result is that many college students en ...
... student a true appreciation of the subject ; this is particularly so in those courses where analytic geometry is reduced to just the barest minimum needed for a first study of the calculus . The result is that many college students en ...
Page 222
... student is invited to try to recall how this proposition was proved in his high school course or , if unable to recall the proof , to try to supply a high school demonstration of his own . There is a good chance the student will fail ...
... student is invited to try to recall how this proposition was proved in his high school course or , if unable to recall the proof , to try to supply a high school demonstration of his own . There is a good chance the student will fail ...
Contents
LECTURE TWO The greatest Egyptian pyramid | 8 |
LECTURE FOUR The first great theorem | 26 |
LECTURE FIVE Precipitation of the first crisis | 43 |
Copyright | |
11 other sections not shown
Other editions - View all
Common terms and phrases
abacus algebra algorithm altitude analytic geometry ancient angle Archimedes arithmetic base Book Cavalieri century chord circle compasses computing congruent construction counters cube cubic equation curve cylinder Descartes digit Diophantus divides divisor ellipse equal Euclid's Elements Eudoxian Fermat Fibonacci Figure formula Further Reading given golden ratio Greek Hindu Hindu-Arabic numeral system history of mathematics HOWARD EVES hypotenuse integers irrational number Kepler known later lecture legs length Liber abaci line segment logarithms mathematician method MOMENTS IN MATHEMATICS multiplication Napier obtain pair parallel perfect numbers plane polygon positive integers problem proof proposition Prove Ptolemy's Ptolemy's theorem pyramid Pythagorean theorem Pythagorean triple quadratic quadrilateral quartic equation radius rational number relatively prime right triangle roots Show side solid solution solve sphere spherical square straightedge symbols tangent tetrahedron tion triangle ABC trisection vertex volume whence