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The Tangled Origins of the Leibnizian Calculus: A Case Study of a Mathematical Revolution
Richard C. Brown
Table of Contents
- Evolution or Revolution in Mathematics
- Issues in Seventeenth Century Mathematics
- Isaac Barrow: A Foil to Leibniz
- A Young Central European Polymath
- First Steps in Mathematics
- The Creation of Calculus
- Logic
- The Universal Characteristic
- The Baroque Cultural Context
- Epilogue
- Some Concluding Remarks on Mathematical Change
- Appendices:
- A: A Transmutation Theorem of Leibniz
- B: Leibniz's Series Quadrature of a Conic
- C: Syllogistic Logic
- D: The Vis Viva Dispute
- E: Some Applications of Curves and Neusis in Greek Geometry
- F: Infinitesimals
- A Note on the Author