Contents

pp ix-x

Introduction

pp xi-xvi

Part I - The Calculus as Algebra

pp 1-2

Preface to the Garland Edition

pp 3-6

Acknowledgements

pp 7-8

Introduction

pp 9-16

1 - The Development of Lagrange's Ideas on the Calculus: 1754–1797

pp 17-36

2 - The Algebraic Background of the Theory of Analytic Functions

pp 37-62

3 - The Contents of the Fonctions Analytiques

pp 63-80

4 - From Proof-Technique to Definition: The Pre-History of Delta-Epsilon Methods

pp 81-100

Conclusion

pp 101-102

Appendix

pp 103-104

Bibliography

pp 105-124

Part II - Selected Writings

pp 125-126

1 - The Mathematician, the Historian, and the History of Mathematics

pp 127-134

2 - Who Gave You the Epsilon? Cauchy and the Origins of Rigorous Calculus

pp 135-146

3 - The Changing Concept of Change: The Derivative from Fermat to Weierstrass

pp 147-162

4 - The Centrality of Mathematics in the History of Western Thought

pp 163-174

5 - Descartes and Problem-Solving

pp 175-190

6 - The Calculus as Algebra, the Calculus as Geometry: Lagrange, Maclaurin, and Their Legacy

pp 191-208

7 - Was Newton's Calculus a Dead End? The Continental Influence of Maclaurin's Treatise of Fluxions

pp 209-228

8 - Newton, Maclaurin, and the Authority of Mathematics

pp 229-242

9 - Why Should Historical Truth Matter to Mathematicians? Dispelling Myths while Promoting Maths

pp 243-256

10 - Why Did Lagrange “Prove” the Parallel Postulate?

pp 257-274

Index

pp 275-286

About the Author

pp 287-287