The mathematics of everyday

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The mathematics of everyday
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Foreword......................................................................................................................................................................... v

Introduction and acknowledgments.............................................................................................................................. ix


Chapter 1 Numbers...........................................................................................................3

Zero...................................................................................................................................................................... 7The number seven............................................................................................................................................. 11Counting and its originsin prehistory................................................................................................................ 17Counting is difficult............................................................................................................................................ 21The cultural meaning of numbers...................................................................................................................... 25The number 12................................................................................................................................................... 29The number 153.................................................................................................................................................33The competition between numbering systems................................................................................................. 37


Chapter 2 Geometry........................................................................................................ 41

Geometry...........................................................................................................................................................45Geometry in advertising.................................................................................................................................... 47The Pythagorean theorem................................................................................................................................. 51The origin of fractals.......................................................................................................................................... 55The circle and the sphere.................................................................................................................................. 61Hexagons in nature............................................................................................................................................65Bubbles..............................................................................................................................................................69Mathematics and eclipses................................................................................................................................. 73


Chapter 3 Culture and society.........................................................................................77

Mathematics and professions........................................................................................................................... 81Mathematics and sports....................................................................................................................................85One or many mathematics?..............................................................................................................................89Fear of mathematics..........................................................................................................................................93Calories.............................................................................................................................................................. 97Mathematics in language................................................................................................................................ 101Alice in Wonderland and logic ........................................................................................................................ 105


Chapter 4 Patterns and models.................................................................................... 107

The four-color theorem.....................................................................................................................................111Measuring the heavens.....................................................................................................................................115Exponential growth...........................................................................................................................................119Exponential decrease...................................................................................................................................... 123The origin of chess.......................................................................................................................................... 127
Mathematics and the search for patterns....................................................................................................... 131Palindromes..................................................................................................................................................... 135Biometry.......................................................................................................................................................... 139


Chapter 5 Probability and statistics.............................................................................. 143

Statistic and its global impact......................................................................................................................... 147Numbers in statistics....................................................................................................................................... 149Predicting the future........................................................................................................................................ 153A streak can fool us......................................................................................................................................... 157The value of estimation.................................................................................................................................... 161The average..................................................................................................................................................... 165


Chapter 6 Ratios and proportions................................................................................. 169

The stellar magnitude scale............................................................................................................................. 173Pi (π)................................................................................................................................................................. 177The dimensions of a comet............................................................................................................................. 181The golden ratio............................................................................................................................................... 185Scale models................................................................................................................................................... 189The length of a day.......................................................................................................................................... 193Mathematics in the universe............................................................................................................................ 197


Chapter 7 About history................................................................................................ 199

The abacus...................................................................................................................................................... 203Hypatia of Alexandria....................................................................................................................................... 207The Mayan numbering system........................................................................................................................ 211Symbols in mathematics................................................................................................................................. 215Ramanujan....................................................................................................................................................... 219Cleopatra......................................................................................................................................................... 223The quipu......................................................................................................................................................... 227Florence Nightingale........................................................................................................................................ 231


Bibliography..................................................................................................................233

Foreword......................................................................................................................................................................... v

Introduction and acknowledgments.............................................................................................................................. ix


Chapter 1 Numbers...........................................................................................................3

Zero...................................................................................................................................................................... 7The number seven............................................................................................................................................. 11Counting and its originsin prehistory................................................................................................................ 17Counting is difficult............................................................................................................................................ 21The cultural meaning of numbers...................................................................................................................... 25The number 12................................................................................................................................................... 29The number 153.................................................................................................................................................33The competition between numbering systems................................................................................................. 37


Chapter 2 Geometry........................................................................................................ 41

Geometry...........................................................................................................................................................45Geometry in advertising.................................................................................................................................... 47The Pythagorean theorem................................................................................................................................. 51The origin of fractals.......................................................................................................................................... 55The circle and the sphere.................................................................................................................................. 61Hexagons in nature............................................................................................................................................65Bubbles..............................................................................................................................................................69Mathematics and eclipses................................................................................................................................. 73


Chapter 3 Culture and society.........................................................................................77

Mathematics and professions........................................................................................................................... 81Mathematics and sports....................................................................................................................................85One or many mathematics?..............................................................................................................................89Fear of mathematics..........................................................................................................................................93Calories.............................................................................................................................................................. 97Mathematics in language................................................................................................................................ 101Alice in Wonderland and logic ........................................................................................................................ 105


Chapter 4 Patterns and models.................................................................................... 107

The four-color theorem.....................................................................................................................................111Measuring the heavens.....................................................................................................................................115Exponential growth...........................................................................................................................................119Exponential decrease...................................................................................................................................... 123The origin of chess.......................................................................................................................................... 127
Mathematics and the search for patterns....................................................................................................... 131Palindromes..................................................................................................................................................... 135Biometry.......................................................................................................................................................... 139


Chapter 5 Probability and statistics.............................................................................. 143

Statistic and its global impact......................................................................................................................... 147Numbers in statistics....................................................................................................................................... 149Predicting the future........................................................................................................................................ 153A streak can fool us......................................................................................................................................... 157The value of estimation.................................................................................................................................... 161The average..................................................................................................................................................... 165


Chapter 6 Ratios and proportions................................................................................. 169

The stellar magnitude scale............................................................................................................................. 173Pi (π)................................................................................................................................................................. 177The dimensions of a comet............................................................................................................................. 181The golden ratio............................................................................................................................................... 185Scale models................................................................................................................................................... 189The length of a day.......................................................................................................................................... 193Mathematics in the universe............................................................................................................................ 197


Chapter 7 About history................................................................................................ 199

The abacus...................................................................................................................................................... 203Hypatia of Alexandria....................................................................................................................................... 207The Mayan numbering system........................................................................................................................ 211Symbols in mathematics................................................................................................................................. 215Ramanujan....................................................................................................................................................... 219Cleopatra......................................................................................................................................................... 223The quipu......................................................................................................................................................... 227Florence Nightingale........................................................................................................................................ 231


Bibliography..................................................................................................................233

Información adicional
SKU eddd43784f33cbf88423343c357b1539
Formato grouped
ISBN 9789977664781
Palabras claves Mathematics : Social aspects : Cultural aspects : Numbers : Geometry : Patterns : Models : Probability and statistics : History
Anio de publicacion 2020
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