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X and the City: Modeling Aspects of Urban Life Book

X and the City: Modeling Aspects of Urban Life
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X and the City: Modeling Aspects of Urban Life, X and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or , X and the City: Modeling Aspects of Urban Life
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  • X and the City: Modeling Aspects of Urban Life
  • Written by author John A. Adam
  • Published by Princeton University Press, 5/27/2012
  • X and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or
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Book Categories

Authors

Preface xiii

Acknowledgments xvii

Chapter 1

Introduction: Cancer, Princess Dido, and the city 1

Chapter 2

Getting to the city 7

Chapter 3

Living in the city 15

Chapter 4

Eating in the city 35

Chapter 5

Gardening in the city 41

Chapter 6

Summer in the city 47

Chapter 7

Not driving in the city! 63

Chapter 8

Driving in the city 73

Chapter 9

Probability in the city 89

Chapter 10

Traffic in the city 97

Chapter 11

Car following in the city? I 107

Chapter 12

Car following in the city? II 113

Chapter 13

Congestion in the city 121

Chapter 14

Roads in the city 129

Chapter 15

Sex and the city 135

Chapter 16

Growth and the city 149

Chapter 17

The axiomatic city 159

Chapter 18

Scaling in the city 167

Chapter 19

Air pollution in the city 179

Chapter 20

Light in the city 191

Chapter 21

Nighttime in the city? I 209

Chapter 22

Nighttime in the city? II 221

Chapter 23

Lighthouses in the city? 233

Chapter 24

Disaster in the city? 247

Chapter 25

Getting away from the city 255

Appendix 1

Theorems for Princess Dido 261

Appendix 2

Dido and the sinc function 263

Appendix 3

Taxicab geometry 269

Appendix 4

The Poisson distribution 273

Appendix 5

The method of Lagrange multipliers 277

Appendix 6

A spiral braking path 279

Appendix 7

The average distance between two random points in a circle 281

Appendix 8

Informal "derivation" of the logistic differential equation 283

Appendix 9

A miniscule introduction to fractals 287

Appendix 10

Random walks and the diffusion equation 291

Appendix 11

Rainbow/halo details 297

Appendix 12

The Earth as vacuum cleaner? 303

Annotated references and notes 309

Index 317


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X and the City: Modeling Aspects of Urban Life, <i>X and the City</i>, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or , X and the City: Modeling Aspects of Urban Life

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X and the City: Modeling Aspects of Urban Life, <i>X and the City</i>, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or , X and the City: Modeling Aspects of Urban Life

X and the City: Modeling Aspects of Urban Life

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X and the City: Modeling Aspects of Urban Life, <i>X and the City</i>, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or , X and the City: Modeling Aspects of Urban Life

X and the City: Modeling Aspects of Urban Life

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