Brief Calculus

April 23, 2014 | Updated: May 10, 2019
Author: Benjamin Crowell, Light and Matter

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 (http://www.lightandmatter.com/fund/). 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.

Subject Areas
Math/Stats, Calculus

Original source
www.lightandmatter.com

Adoptions:
Tell us you are using this Open Textbook

Adaptations:
Support for adapting an open textbook

Need help?
Visit our help page

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

textbook cover image
Calculus (https://flic.kr/p/8gzzS2) by Milena Mihaylova (https://www.flickr.com/photos/minchki/) used under a CC-BY license (https://creativecommons.org/licenses/by/2.0/)

Get This Book

Select a file format

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.

Similar Textbooks


There are currently no reviews for this book.

Be the first to request to review this textbook