by Benjamin Crowell
Number of pages: 138
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 Aaron Maxwell - Lulu.com
Integrate Your Brain teaches how talented mathematicians utilize their normal, human mental ability to tackle calculus. You are gently trained in the fundamental skills, and shown step by step how to put them into action yourself.
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 Faraz Hussain
Online introductory book on Calculus that focuses on concepts, without complex and abstract jargon. Integrated throughout the e-book are many engineering applications aimed at developing the student's scientific approach towards problem solving.
by Richard H. Crowell, William E. Slesnick - W W Norton & Co Inc
Contents: Functions, Limits, and Derivatives; Conic Section; Integration; Logarithms and Exponential Functions; Trigonometric Functions; Techniques of Integration; The Definite Integral; Infinite Series; Geometry in the Plane; Differential Equations.