Looking at numbers

Galileo Galilei said he was reading the book of nature as he observed pendulums swinging, but he might also simply have tried to draw the numbers themselves as they fall into networks of permutations or form loops that synchronize at different speeds, or attach themselves to balls passing in and out...

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Main Author: Johnson, Tom, 1939-
Other Authors: Jedrzejewski, Franck,, SpringerLink (Online Service)
Format: eBook
Language: English
Published: Basel : Birkhäuser, 2014.
Physical Description: 1 online resource.
Subjects:
Summary: Galileo Galilei said he was reading the book of nature as he observed pendulums swinging, but he might also simply have tried to draw the numbers themselves as they fall into networks of permutations or form loops that synchronize at different speeds, or attach themselves to balls passing in and out of the hands of good jugglers. Numbers are, after all, a part of nature. As such, looking at and thinking about them is a way of understanding our relationship to nature. But when we do so in a technical, professional way, we tend to overlook their basic attributes, the things we can understand by simply looking at numbers. Tom Johnson is a composer who uses logic and mathematical models, such as combinatorics of numbers, in his music. The patterns he finds while looking at numbers can also be explored in drawings. This book focuses on such drawings, their beauty and their mathematical meaning. The accompanying comments were written in collaboration with the mathematician Franck Jedrzejewski.
Item Description: Permutations -- Sums -- Subsets -- Kirkmans Ladies, a Combinatorial Design -- Twelve -- (9,4,3) -- 55 Chords -- Clarinet Trio -- Loops -- Juggling.
Includes bibliographical references and index.
Galileo Galilei said he was reading the book of nature as he observed pendulums swinging, but he might also simply have tried to draw the numbers themselves as they fall into networks of permutations or form loops that synchronize at different speeds, or attach themselves to balls passing in and out of the hands of good jugglers. Numbers are, after all, a part of nature. As such, looking at and thinking about them is a way of understanding our relationship to nature. But when we do so in a technical, professional way, we tend to overlook their basic attributes, the things we can understand by simply looking at numbers. Tom Johnson is a composer who uses logic and mathematical models, such as combinatorics of numbers, in his music. The patterns he finds while looking at numbers can also be explored in drawings. This book focuses on such drawings, their beauty and their mathematical meaning. The accompanying comments were written in collaboration with the mathematician Franck Jedrzejewski.
Physical Description: 1 online resource.
Bibliography: Includes bibliographical references and index.
ISBN: 9783034805544
3034805543
3034805535
9783034805537