Brief Calculus
by Benjamin Crowell
2015
Number of pages: 207
Description:
This short introductory text focuses 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. 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.
Download or read it online for free here:
Download link
(6.1MB, PDF)
Similar books
Active Calculusby Matt Boelkins - Grand Valley State University
Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore.
(7570 views)
CK-12 Single Variable Calculusby R. Almukkahal, V. Cifarelli, C. Fan, L. Jarvis - CK-12 Foundation
From the table of contents: Functions, Limits, and Continuity; Derivatives; Applications of Derivatives; Integration; Applications of Definite Integrals; Transcendental Functions; Integration Techniques; Infinite Series.
(14647 views)
Calculus Made Easyby Silvanus P. Thompson - The MacMillan Company
A book for the mathematically eager who know some algebra. First published in 1910, overall a million copies have been sold. Most talk of continuum and its infinities is suppressed. A remarkable and user-friendly approach to the study of calculus.
(15912 views)
Calculus Illustratedby Peter Saveliev
This is a traditional first semester course in introductory calculus. The main goal is some familiarity with the derivative and its applications. Topics: Limits; Continuity; Limits; Differentiation; Maximum and minimum values of functions; Integral.
(12007 views)