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Families of Curves and the Origins of Partial Differentiation

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Author(s): Steven B. Engelsman (Eds.)
Series: North-Holland mathematics studies 93
Publisher: North-Holland
Year: 1984

Language: English
Pages: iii-v, 1-238
City: Amsterdam; New York :, New York, N.Y., U.S.A

Content:
Edited by
Page iii

Copyright page
Page iv

Acknowledgements
Page v
S.B. Engelsman

Chapter 1 Introduction
Pages 1-21

Chapter 2 Families of Curves in the 1690s
Pages 22-58

Chapter 3 Orthogonal Trajectories 1694–1720
Pages 59-91

Chapter 4 Nicolaus I Bernoulli and Orthogonal Trajectories
Pages 92-123

Chapter 5 Euler's Theory of Modular Equations in the 1730s
Pages 124-160

Epilogue
Pages 161-162

Footnotes Chapter 1
Pages 163-165

Footnotes Chapter 2
Pages 166-175

Footnotes Chapter 3
Pages 176-184

Footnotes Chapter 4
Pages 185-189

Footnotes Chapter 5
Pages 190-198

Appendix 1 Nicolaus I Bernoulli's “Demonstratio Analytica Constructionis Curvarum, Quae Alias Positione Datas Ad Angulos Rectos Secant, Traditae in Actis Lips. 1719 Pag 295 Et Seqq.”
Pages 199-203

Appendix 2 Leonhard Euler's “De Differentiatione Functionum Duas Pluresve Variabiles Quantitates Involventi Um”
Pages 204-222

Appendix 3 Newton's Rule for the Radius of Curvature of May 21st, 1665
Pages 223-226

Bibliography Review Article
Pages 227-238