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From Clay to Infinity
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Prologue: Why Does Mathematics Exist?
Counting, Land, and Proof
Chapter One: The Clay Tablet Accountants
Chapter Two: The Rope Stretchers of the Nile
Chapter Three: The Dangerous Idea of Proof
Chapter Four: The World’s First Think Tank
Zero, Algebra, and the Sky
Chapter Five: The Gift of Nothing
Chapter Six: The House of Wisdom
Chapter Seven: The School at the Edge of the Ocean
Change, Chance, and New Numbers
Chapter Eight: How to Aim a Cannonball
Chapter Nine: The Invention of Change
Chapter Ten: The Number That Should Not Exist
Chapter Eleven: The Mathematics of Maybe
When Mathematics Outruns Intuition
Chapter Twelve: The End of Obvious Space
Chapter Thirteen: The Mathematics of Symmetry
Chapter Fourteen: How Big Is Infinity?
Chapter Fifteen: The Geometry of the Universe
Chapter Sixteen: The Limits of Certainty
Epilogue: Mathematics as a Living Thing
Appendices
References
Table of contents
From Clay to Infinity
A History of Mathematical Ideas from Sumer to Gödel
Author
Vijay Mathew
Published
April 3, 2026
Prologue: Why Does Mathematics Exist?