Book contents
- Frontmatter
- Epigraph
- Contents
- Introduction
- 1 Preliminary ideas
- 2 The integral
- 3 Functions, old and new
- 4 Falling bodies
- 5 Compound interest and horse kicks
- 6 Taylor's theorem
- 7 Approximations, good and bad
- 8 Hills and dales
- 9 Differential equations via computers
- 10 Paradise lost
- 11 Paradise regained
- Further reading
- Index
- References
Further reading
Published online by Cambridge University Press: 05 June 2014
Book contents
- Frontmatter
- Epigraph
- Contents
- Introduction
- 1 Preliminary ideas
- 2 The integral
- 3 Functions, old and new
- 4 Falling bodies
- 5 Compound interest and horse kicks
- 6 Taylor's theorem
- 7 Approximations, good and bad
- 8 Hills and dales
- 9 Differential equations via computers
- 10 Paradise lost
- 11 Paradise regained
- Further reading
- Index
- References
Summary
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- Information
- Calculus for the Ambitious , pp. 163Publisher: Cambridge University PressPrint publication year: 2014
References
[1] . A First Course in Mathematical Analysis. Cambridge University Press, Cambridge, 1962.Google Scholar
[2] and . What is Mathematics?Oxford University Press, Oxford, 1941. OUP has issued this book in various forms including a second edition with an extra chapter by Ian Stewart discussing later developments.Google Scholar
[3] . Naive Set Theory. Van Nostrand, Princeton, 1960. The later publishing history is complicated, but the book is available in many libraries and is usually in print.Google Scholar
[4] . Elementary Mathematics from an Advanced Standpoint (Part 1). Macmillan, New York, 1932. Third edition. Translated by E. R. Hedrick and C. A. Hedrick. There is a Dover reprint.Google Scholar
[5] . An Analytical Calculus, volume 1. Cambridge University Press, Cambridge, 1957. There are three further volumes covering successively more advanced topics.Google Scholar
[7] . Calculus Made Easy. Macmillan, London, second edition, 1914. There are several editions revised by various hands. The revisions are not always happy. The 1914 edition is available from Project Gutenberg.Google Scholar