## Mathematical footprints: discovering mathematical impressions all around usThis journey across the spectrum of human activities takes a creative look at the role mathematics has played since prehistoric times. From its many uses in medicine and its appearance in artwork to its patterns in nature and its central role in the development of computers, mathematics is presented in a fun-to-read, nonthreatening manner. |

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ix Introduction

1 Early Mathematics artifacts

5 the very pervasive golden ratio

9 seeing is not believing13 Mathematics & your money

18 mathematics -- the framework for architecture

20 hyperspace & beyond

25 mathematics & cubism

30 le grand arche

34 the mathematical Pandora's box

37 mathematics & the body

42 will computers take the quantum leap?

46 mathematics, Guggenheim Bilbao & Frank Gehry

51 the Pythagorean theorem -- the survivor.

55 rings, helices, & dolphins

59 the art of Claude Monet

63 how knots are tied to mathematics

68 Chinese remainder theorem -- a problem from the past

73 solutions

78 mathematics of weather forecasting

83 mathematics & the art of architecture of Arata

89 fuzzy numbers

102 the longitude problem

110 mathematics is in the creases

115 mathematics & nature's formations

119 mathematics & the architecture of the pyramids

123 cellular automata -- pixels of life

127 art-manifeste

129 mathematics finds its way around mazes

133 meter is a meter, is a meter, or is it?

138 molecular computers

141 a mathematical looks at the art of Cezan

145 where am i? -- mathematics & the global positioning system

149 mathematics in literature

154 crime & complexity

158 a mathematical look at time

164 the universe - what's with it anyway

168 numbers help nail errors

173 mathematics & the art of Tony Robbin

178 have we heard the last of Fermat's last theorem?

183 mathematics & the game of life

187 mathematics & the architecture of SFMOMA

191 music, matter & mathematics

196 nanotechnology is big stuff!!

203 soft computing

208 it's crystal clear, or is it? -- quasicrystals & Penrose tiles

214 smart machines

219 appendix

221 index

224 bibliography

227 about the author

### Contents

early mathematics artifacts | 1 |

seeing is not believing | 9 |

l8 mathematics the framework of architecture | 18 |

Copyright | |

22 other sections not shown