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 John William Mercer - Cambridge University Press
The author has been guided by the conviction that it is much more important for the beginner to understand clearly what the processes of the Calculus mean, and what it can do for him, than to acquire facility in performing its operations.
by Larissa Fradkin - Bookboon
This elementary book embodies a systematic and efficient teaching method that marries modern evidence-based pedagogical findings with ideas that can be traced back to such educational and mathematical giants as Socrates and Euler.
by Russell A. Gordon - Whitman College
The text represents one person's attempt to put the essential ideas of calculus into a short and concise format. It may not appeal to a wide range of mathematicians, but it should provide most students with a good foundation in calculus.
by Paul Dawkins - Lamar University
These lecture notes should be accessible to anyone wanting to learn Calculus II or needing a refresher in some of the topics from the class. The notes assume a good knowledge of Calculus I topics including limits, derivatives and basic integration.