Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Introduction
- 1 Basic features of smooth worlds
- 2 Basic differential calculus
- 3 First applications of the differential calculus
- 4 Applications to physics
- 5 Multivariable calculus and applications
- 6 The definite integral. Higher-order infinitesimals
- 7 Synthetic differential geometry
- 8 Smooth infinitesimal analysis as an axiomatic system
- Appendix. Models for smooth infinitesimal analysis
- Note on sources and further reading
- References
- Index
Introduction
Published online by Cambridge University Press: 29 January 2010
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Introduction
- 1 Basic features of smooth worlds
- 2 Basic differential calculus
- 3 First applications of the differential calculus
- 4 Applications to physics
- 5 Multivariable calculus and applications
- 6 The definite integral. Higher-order infinitesimals
- 7 Synthetic differential geometry
- 8 Smooth infinitesimal analysis as an axiomatic system
- Appendix. Models for smooth infinitesimal analysis
- Note on sources and further reading
- References
- Index
Summary
- Type
- Chapter
- Information
- A Primer of Infinitesimal Analysis , pp. 1 - 15Publisher: Cambridge University PressPrint publication year: 2008
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