by Benjamin Crowell
Number of pages: 207
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.
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by Paul Dawkins - Lamar University
These notes should be accessible to anyone wanting to learn Calculus I or needing a refresher in some of the early topics in calculus. Contents: Review; Limits; Derivatives; Applications of Derivatives; Integrals; Applications of Integrals.
by Leif Mejlbro - BookBoon
Guidelines for solutions of problems concerning sequences and power series. It is not an alternative textbook, but it can be a useful supplement to the ordinary textbooks. The text presupposes some knowledge of calculus of functions in one variable.
by 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.
by Daniel Kleitman - MIT
Calculus is the study of how things change, it provides a framework for modeling systems in which there is change. This online textbook provides an overview of Calculus in clear, easy to understand language designed for the non-mathematician.