Granville’s classic text book Elements of the Differential and Integral Calculus fell into the public domain and then much of it (but not all, at the time of this writing) was scanned into wikisource primarily by R. J. Hall. Granville’s entire book contains material on differential, integral, and even multivariable calculus. The material in the subset here is restricted to differential calculus topics, though contains some material which might properly belong to an elementary differential geometry course. The above-mentioned wikisource document uses mathml and latex and some Greek letter fonts.
In particular, the existence of this document owes itself primarily to three great open source projects: TeX/LaTeX, Wikipedia, and Sagemath (http://www.sagemath.org). Some material from Sean Mauch’s public domain text on Applied Mathematics, was also included.
The current latex document is due to David Joyner, who is responsible for re-formatting, editing for readability, the correction (or introduction) of typos from the scanned version, and any extra material added (for example, the hyperlinked cross references, and the Sagemath material). Please email corrections to firstname.lastname@example.org.
Though the original text of Granville is public domain, the extra material added in this version is licensed under the GNU Free Documentation License (please see the FDL) as is most of Wikipedia.
Acknowledgements: I thank the following readers for reporting typos: Mario Pernici, Jacob Hicks.
- pdf (2009-08, about 3.3M, latest version)
- source tarball (but old, 2008-8)
- Granville’s entire book scanned pdf (about 26.5M)
Now available from amazon.com for $20 (not including shipping).