Journey Through Genius: Great Theorems of MathematicsPraise for William Dunham?s Journey Through Genius The Great Theorems of Mathematics "Dunham deftly guides the reader through the verbal and logical intricacies of major mathematical questions and proofs, conveying a splendid sense of how the greatest mathematicians from ancient to modern times presented their arguments." ?Ivars Peterson Author, The Mathematical Tourist Mathematics and Physics Editor, Science News "It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash." ?Isaac Asimov "It is a captivating collection of essays of major mathematical achievements brought to life by the personal and historical anecdotes which the author has skillfully woven into the text. This is a book which should find its place on the bookshelf of anyone interested in science and the scientists who create it." ?R. L. Graham, AT&T Bell Laboratories "Come on a time-machine tour through 2,300 years in which Dunham drops in on some of the greatest mathematicians in history. Almost as if we chat over tea and crumpets, we get to know them and their ideas?ideas that ring with eternity and that offer glimpses into the often veiled beauty of mathematics and logic. And all the while we marvel, hoping that the tour will not stop." ?Jearl Walker, Physics Department, Cleveland State University Author of The Flying Circus of Physics |
From inside the book
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... length of 1 , we can construct lengths of 2 , 3 , 4 , and so on , as well as rational lengths like % , % , 111 and even irrational lengths involving only square roots , like √2 or √5 . Fur- ther , if we can construct two magnitudes ...
... length from one part of the plane to another . That is , given a line segment whose length was to be copied elsewhere , one puts the point of the compass at one end of the segment and the pencil tip at the other ; then , holding the ...
... length we shall denote by t , as shown in Figure 6.1 . Side AC is divided at B into segment BC of length u and segment AB of length t- u . Here t and u are serving as auxiliary variables whose values we must find . As the dia- gram ...
Contents
Hippocrates Quadrature of the Lune ca 440 B C | 1 |
Euclids Proof of the Pythagorean Theorem ca 300 B C | 27 |
Euclid and the Infinitude of Primes ca 300 B C | 61 |
Copyright | |
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