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................................................................................................. 37Chapter 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................................................................................................................................. 73Chapter 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 ........................................................................................................................ 105Chapter 4 Patterns and models.................................................................................... 107
The four-color theorem.....................................................................................................................................111Measuring the heavens.....................................................................................................................................115Exponential growth...........................................................................................................................................119Exponential decrease...................................................................................................................................... 123The origin of chess.......................................................................................................................................... 127Chapter 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..................................................................................................................................................... 165Chapter 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............................................................................................................................ 197Chapter 7 About history................................................................................................ 199
The abacus...................................................................................................................................................... 203Hypatia of Alexandria....................................................................................................................................... 207The Mayan numbering system........................................................................................................................ 211Symbols in mathematics................................................................................................................................. 215Ramanujan....................................................................................................................................................... 219Cleopatra......................................................................................................................................................... 223The quipu......................................................................................................................................................... 227Florence Nightingale........................................................................................................................................ 231Bibliography..................................................................................................................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................................................................................................. 37Chapter 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................................................................................................................................. 73Chapter 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 ........................................................................................................................ 105Chapter 4 Patterns and models.................................................................................... 107
The four-color theorem.....................................................................................................................................111Measuring the heavens.....................................................................................................................................115Exponential growth...........................................................................................................................................119Exponential decrease...................................................................................................................................... 123The origin of chess.......................................................................................................................................... 127Chapter 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..................................................................................................................................................... 165Chapter 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............................................................................................................................ 197Chapter 7 About history................................................................................................ 199
The abacus...................................................................................................................................................... 203Hypatia of Alexandria....................................................................................................................................... 207The Mayan numbering system........................................................................................................................ 211Symbols in mathematics................................................................................................................................. 215Ramanujan....................................................................................................................................................... 219Cleopatra......................................................................................................................................................... 223The quipu......................................................................................................................................................... 227Florence Nightingale........................................................................................................................................ 231Bibliography..................................................................................................................233
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 |