Abstract
1. The System of Numbers: An Overview 2. Writing Numbers: Now and Back Then 3. Numbers and Magnitudes in the Greek Mathematical Tradition 4. Construction Problems and Numerical Problems in the Greek Mathematical Tradition 5. Numbers in the Tradition of Medieval Islam 6. Numbers in Europe from the 12th to the 16th Centuries 7. Number and Equations at the Beginning of the Scientific Revolution 8. Number and Equations in theWorks of Descartes, Newton, and their Contemporaries 9. New Definitions of Complex Numbers in the Early 19th Century 10. What are numbers and what should they be? Understanding Numbers in the Late 19th Century 11. Exact Definitions for the Natural Numbers: Dedekind, Peano and Frege 12. Numbers, Sets and Infinity. A Conceptual Breakthrough at the Turn of the Twentieth Century 13. Epilogue: Numbers in Historical Perspective
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