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| .'''p001 Prelude''' ---- .'''p007 Chapter 1 - In the Beginning''' ---- .'''p020 Chapter 2 - The Turtle and the Emperor''' .p031 I Ching inspired Leibniz binary math .p039 [[ https://en.wikipedia.org/wiki/Humblebrag | humblebrag ]] ---- .'''p042 Chapter 3 - A Town Called Alex''' .p046 [[ https://en.wikipedia.org/wiki/Pandrosion | Pandrosion ]] 4th century female mathematician in Alexandria .p047 [[ https://en.wikipedia.org/wiki/Doubling_the_cube | Doubling the cube ]] impossible with straightedge and compass .p047 Difference between theorem and proof, earliest recorded case of [[ https://en.wikipedia.org/wiki/Mansplaining | mansplaining ]] .p048 [[ https://en.wikipedia.org/wiki/Hipparchia_of_Maroneia | Hipparchia ]] .p049 [[ https://en.wikipedia.org/wiki/Theon_of_Alexandria | Theon ]] to daughter Hipparchia: "Reserve your right to think. For even to think wrongly is better than not to think at all. ---- .'''p057 Chapter 4 - The Dawn of Time''' .p060 [[ https://en.wikipedia.org/wiki/Mesoamerican_Long_Count_calendar cycle | Mayan Long Count Calendar ]] ended 2012 December 21, some believed this predicted the end of the world. The Maya actually believed this was one of many rebirth cycles, nothing changed because of the measurement itse3lf .p060 [[ https://en.wikipedia.org/wiki/Yaz%C4%B1l%C4%B1kaya | Yazılıkaya ]] religious sanctuary for hundreds of deities ---- .'''p072 Chapter 5 - On the Origin(s) of Zero''' .p075 [[ | Jain ]] math of large numbers, [[ https://www.ms.uky.edu/~dhje223/MA330Fall2023/Indian%20Enumeration.pdf | shirsa prahelika ]]: 756e11 x (8.4e6)²⁸ (approx 5.7324601e208 ) ---- .'''p089 Chapter 6 - The House of Wisdom''' ---- .'''p103 Chapter 7 - The Impossible Dream''' .p109 [[ https://en.wikipedia.org/wiki/Republic_of_Letters | Republic of Letters ]] 17th and 18th centuries, Europe/America .p111 [[ https://en.wikipedia.org/wiki/Yvonne_Choquet-Bruhat | Yvonne Choquet-Bruhat ]] mathematical physicist elected to French Academy of Sciences in 1979 (age 55), died 2025 age 101 .p111 [[ https://en.wikipedia.org/wiki/Elisabeth_of_the_Palatinate | Elisabeth of Bohemia ]] .p115 [[ https://en.wikipedia.org/wiki/Ren%C3%A9_Descartes | Descartes ]][[ https://en.wikipedia.org/wiki/Cartesian_coordinate_system | Cartesian Coordinates ]] .p115 [[ https://en.wikipedia.org/wiki/Problem_of_Apollonius | Apollonius's problem ]] . given 3 circles, find eight more (book says one but diagram on page 116 shows 8) that are tangent to all three .p117 three algebraic equations, though third equation second term should be (y-y₃)² .p117 Descartes dedicated his 1644 [[ https://en.wikipedia.org/wiki/Principles_of_Philosophy | Principles of Philosophy ]] to Elisabeth .p117 Elisabeth corresponded with [[ https://en.wikipedia.org/wiki/Anna_Maria_van_Schurman | Anna Maria von Schurman ]] [[ https://en.wikipedia.org/wiki/Marie_de_Gournay | Marie de Gournay ]] and [[ https://en.wikipedia.org/wiki/Katherine_Jones,_Viscountess_Ranelagh | Katherine Jones / Lady Ranelagh ]] ---- .'''p118 Chapter 8 - The (First) Calculus Pioneers''' .p133 [[ https://en.wikipedia.org/wiki/Gottfried_Wilhelm_Leibniz | Leibnitz ]] corresponded with mocking, indifferent [[ https://en.wikipedia.org/wiki/Isaac_Newton | Newton ]] . Newton developed calculus (fluxions 1666) years before Leibnitz independently did so (1675), but Leibnitz notation more useful and replaced fluxions. Britain adopted Leibniz notation in the 1820s, after decades falling behind continental mathematics .p138 in his 2009 book [[ https://archive.org/details/apassagetoinfinitymedievalindianmathematicsfromkeralaanditsimpactjosephgeorgegheverghese_202003_918_V | A Passage to Infinity ]] [[ https://en.wikipedia.org/wiki/George_Gheverghese_Joseph | George Gheverghese Joseph ]] argues both Leibniz and Newton influenced by Kerala mathematicians ---- .'''p139 Chapter 9 - Newtonianism for Ladies'' .p144 Descartes: Earth round. Newton, Earth Oblate Spheroid due to rotational centrifugal acceleration .p146 french missions to [[ https://en.wikipedia.org/wiki/Tornio | Torneå ]] in Northern Finland .p146 and Quito [[ | ]] .p147 [[ | ]] .p149 [[ | ]] .p151 [[ | ]] ---- .'''p157 Chapter 10 - A Grand Synthesis''' .p158 [[ | ]] ---- .'''p171 Chapter 11 - The Mathematical Mermaid''' .p171 [[ | ]] .p187 [[ | ]] ---- .'''p190 Chapter 12 - Revolutions''' ---- .'''p208 Chapter 13 - ∞''' .p217 [[ | ]] ---- .'''p221 Chapter 14 - Mapping the Stars''' ---- .'''p234 Chapter 15 - Number Crunching''' .p244 [[ | ]] .p247 [[ | ]] .p249 [[ | ]] ---- .'''p253 Epilogue''' .p257 [[ | ]] .p257 [[ | ]] .p259 [[ | ]] .p259 [[ | ]] .p261 [[ | ]] .p261 [[ | ]] .p261 [[ | ]] .p262 [[ | ]] ---- .''p263 Acknowledgements'' .p263 [[ | ]] .p264 [[ | ]] ---- .''p265 Notes'' .p271 [[ | ]] ---- .''p273 Further Readings''' ---- .''p285 Index'' |
The Secret Lives of Numbers
A Hidden History of Math's Unsung Trailblazers
Kate Kitagawa & Timothy Revell . 2024 . 510.9 KITAGAWA . Hillsboro Library
p001 Prelude
p007 Chapter 1 - In the Beginning
p020 Chapter 2 - The Turtle and the Emperor
- p031 I Ching inspired Leibniz binary math
p039 humblebrag
p042 Chapter 3 - A Town Called Alex
p046 Pandrosion 4th century female mathematician in Alexandria
p047 Doubling the cube impossible with straightedge and compass
p047 Difference between theorem and proof, earliest recorded case of mansplaining
p048 Hipparchia
p049 Theon to daughter Hipparchia: "Reserve your right to think. For even to think wrongly is better than not to think at all.
p057 Chapter 4 - The Dawn of Time
p060 Mayan Long Count Calendar ended 2012 December 21, some believed this predicted the end of the world. The Maya actually believed this was one of many rebirth cycles, nothing changed because of the measurement itse3lf
p060 Yazılıkaya religious sanctuary for hundreds of deities
p072 Chapter 5 - On the Origin(s) of Zero
p075 Jain math of large numbers, shirsa prahelika: 756e11 x (8.4e6)²⁸ (approx 5.7324601e208 )
p089 Chapter 6 - The House of Wisdom
p103 Chapter 7 - The Impossible Dream
p109 Republic of Letters 17th and 18th centuries, Europe/America
p111 Yvonne Choquet-Bruhat mathematical physicist elected to French Academy of Sciences in 1979 (age 55), died 2025 age 101
p111 Elisabeth of Bohemia
p115 Apollonius's problem
- given 3 circles, find eight more (book says one but diagram on page 116 shows 8) that are tangent to all three
- p117 three algebraic equations, though third equation second term should be (y-y₃)²
p117 Descartes dedicated his 1644 Principles of Philosophy to Elisabeth
p117 Elisabeth corresponded with Anna Maria von Schurman Marie de Gournay and Katherine Jones / Lady Ranelagh
p118 Chapter 8 - The (First) Calculus Pioneers
p133 Leibnitz corresponded with mocking, indifferent Newton
- Newton developed calculus (fluxions 1666) years before Leibnitz independently did so (1675), but Leibnitz notation more useful and replaced fluxions. Britain adopted Leibniz notation in the 1820s, after decades falling behind continental mathematics
p138 in his 2009 book A Passage to Infinity George Gheverghese Joseph argues both Leibniz and Newton influenced by Kerala mathematicians
p139 Chapter 9 - Newtonianism for Ladies
- p144 Descartes: Earth round. Newton, Earth Oblate Spheroid due to rotational centrifugal acceleration
p146 french missions to Torneå in Northern Finland
p190 Chapter 12 - Revolutions
p221 Chapter 14 - Mapping the Stars
p273 Further Readings
p285 Index