Gregory Hartman (lead author), Brian Heinold, Troy Siemers, Dimplekumar Chalishajar

Digital versions PDF
Latex source Yes
Exercises Yes
Solutions Short answers to odd numbered problems
Creative Commons Attribution-NonCommercial
  • Text for three semester course in mainstream calculus
  • Thirteen chapters, 874 pages, 2600 exercises
  • PDF versions of entire book or semester, choice of B&W, color, or color with interactive graphics
  • Available from Amazon or CreateSpace in three volumes for about $13 each
  • LaTeX source files available at
  • For more information and to download

This is a text for the standard three-semester course in single and multivariable calculus for science and engineering students. The authors are part of the APEX (Affordable Print and Electronic Textbooks) consortium based at VMI, which is developing other open textbooks as well. This text has been adopted for all sections of calculus at VMI and at Southern Virginia University. The visual presentation is clear and pleasing, and the organization and style are reminiscent of the best known commercial textbooks and is now in version 3.0.

Table of Contents:

  1. Limits
  2. Derivatives
  3. The Graphical Behavior of Functions
  4. Applications of the Derivative
  5. Integration
  6. Techniques of Antidifferentiation
  7. Applications of Integration
  8. Sequences and Series
  9. Curves in the Plane
  10. Vectors
  11. Vector Valued Functions
  12. Functions of Several Variables
  13. Multiple Integration