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"Today we are afraid of simple words like goodness and mercy and kindness. We don't believe in the good old words because we don't believe in good old values anymore. And that's why the world is sick."
- Lin Yutang
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ZIN Product Number: 10193294
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| | | |  | | | Product Details
 Format: Hardcover, 258 pages
Publisher: Princeton University Press
ISBN: 0691005141
Release Date: Jan 1, 2000
| |  | | | From The Publisher
The beaver's tooth and the tiger's claw. Sunflowers and seashells. Fractals, Fibonacci sequences, and logarithmic spirals. These diverse forms of nature and mathematics are united by a common factor: all involve self-repeating shapes, or gnomons. Almost two thousand years ago, Hero of Alexandria defined the gnomon as that form which, when added to some form, results in a new form, similar to the original. Inspired by Hero, Midhat Gazale - a fellow native of Alexandria - explains the properties of gnomons, traces their long and colorful history in human thought, and explores the mathematical and geometrical marvels they make possible. This is an erudite, engaging, and beautifully produced work that will appeal to anyone interested in the wonders of geometry and mathematics, as well as to enthusiasts of mathematical puzzles and recreations.
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| | | | | | The Reader's Catalog
Almost 2,000 years ago, Hero of Alexandria defined the gnomon as the form which, when added to another form, results in a new one that is similar to the original. Inspired by Hero, Gazal explains the properties of gnomons, traces their history in human thought, and explores the mathematical and geometrical marvels they make possible
| |  | | | The Word On The Street
Midhat Gazale's Gnomon, handsomely illustrated by the author, is a splendid introduction to the surprising properties of gnomons, spirals, and their closely related number sequences, especially the famous golden number. Gazale's elegant explorations lead him into fractals and triangular spirals that generate another famous irrational that he calls the 'silver number.' You put down his book with a heightened sense of awe and wonder at the gold and silver of pure geometry and its astonishing applications to the material world. —Martin Gardner
Midhat Gazale's Gnomon, handsomely illustrated by the author, is a splendid introduction to the surprising properties of gnomons, spirals, and their closely related number sequences, especially the famous golden number. Gazale's elegant explorations lead him into fractals and triangular spirals that generate another famous irrational that he calls the 'silver number.' You put down his book with a heightened sense of awe and wonder at the gold and silver of pure geometry and its astonishing applications to the material world. —Martin Gardner, author of many books, most recently The Night Is Large and The Last Recrea
| |  | | | | Preface | | | Introduction: Gnomons | 3 | | Ch. I | Figurate and m-adic Numbers | 15 | | Ch. II | Continued Fractions | 31 | | Ch. III | Fibonacci Sequences | 49 | | Ch. IV | Ladders: From Fibonacci to Wave Propagation | 74 | | Ch. V | Whorled Figures | 96 | | Ch. VI | The Golden Number | 114 | | Ch. VII | The Silver Number | 135 | | Ch. VIII | Spirals | 151 | | Ch. IX | Positional Number Systems | 187 | | Ch. X | Fractals | 198 | | Index | 253 |
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| | | | | | Keywords
Fractals, Spirals, Similarity (Geometry), Fractals, Spirals, Similarity (Geometry), Similarity (Geometry), Spirals, Fractals, Geometry, Mathematics, Topology - Fractals, Geometry - General, History & Philosophy, Reference, Geometry - Differential
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