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 Jerrold E. Marsden, A. Weinstein - Benjamin-Cummings Publishing Co.
A supplement to any calculus text, an alternative treatment of calculus using the method of exhaustion for the derivative and integral in place of limits. The book is for calculus students and instructors interested in trying an alternative to limits.
by H.W. March, H.C. Wolff - McGraw-Hill
Calculus for technical students. Integration with the determination of the constant of integration, and the definite integral as the limit of a sum, are given following the differentiation of algebraic functions and before transcendental functions.
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.
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Variables and functions, theory of limits, differentiation, rules for differentiating standard elementary form, successive differentiation, maxima and minima, differentials, rates, curvature, theorem of mean value, partial differentiation, etc.