by Paul Garrett
Number of pages: 78
A short text covering introductory calculus topics: inequalities, functions, limits, derivative of a function, general power functions, chain rule, tangent and normal lines, critical points, minimization and maximization, approximation by differentials, intermediate value theorem, l’Hospital’s rule, the second and higher derivatives, inflection points and concavity, asymptotes, basic integration formulas, substitutions, area and definite integrals, lengths of curves, numerical integration, etc.
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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 Virgil Snyder - American book company
The derivative is presented rigorously as a limit. Maxima and minima are discussed as the turning values in the variation of a function. The related theories of inflexions, curvature, and asymptotes receive direct and comprehensive treatment.
by R.S. Johnson - BookBoon
Part I introduces the standard techniques of elementary integration and, in some cases, takes the ideas a little further. In Part II, ordinary differential equation are explored, and the solution methods for some standard types are explained.
by Benjamin Crowell
Short introductory text on differentiation and integration of functions of a single variable, and iterated integrals. The emphasis is on the techniques of calculus, although proofs are given for the important results at the back of the book.