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The following book has met the evaluation criteria developed by the AIM Editorial Board.

Single Variable Calculus
  David Guichard

Digital versions pdf
Plain TeX source Yes
Exercises Yes
Answers Yes
License Creative Commons Attribution-NonCommercial-ShareAlike


From the MAA review of this book: "The discussions and explanations are succinct and to the point, in a way that pleases mathematicians who don't like calculus books to go on and on."

There are eleven chapters beginning with analytic geometry and ending with sequences and series. The book covers the standard material in a one variable calculus course for science and engineering except for numerical integration. The size of the book is such that an instructor does not have to skip sections in order to fit the material into the typical course schedule.

There are sufficiently many exercises at the end of each sections, but not as many as the much bigger commercial texts. Some students and instructors may want to use something like a Schaum's outline for additional problems.