Find Open Textbooks

Brief Calculus

textbook cover image
Calculus ( by Milena Mihaylova ( used under a CC-BY license (

Description: This short text is designed more for self-study or review than for classroom use; full solutions are given for nearly all the end-of-chapter problems. For a more traditional text designed for classroom use, see Fundamentals of Calculus ( The focus is mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Numerical examples are given using the open-source computer algebra system Yacas, and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.

Author: Benjamin Crowell, Light and Matter

Original source:

Adoptions (faculty): Contact us if you are using this textbook in your course

Adaptations: Support for adapting an open textbook

Need help? Visit our Help page for FAQ and helpdesk assistance

Accessibility: Textbooks flagged as accessible meet the criteria noted on the Accessibility Checklist

Open Textbooks:

Creative Commons License
Brief Calculus by Benjamin Crowell, Light and Matter is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License, except where otherwise noted.

There are currently no reviews for this book.

Be the first to Review this book