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 Karl Heinz Dovermann - University of Hawaii
The author introduces limits and derivatives, provides some rules for their computations, discusses some properties of differential equations, geometric properties of graphs, introduces the ideas of the definite and the indefinite integral, etc.
by Matt Boelkins - Grand Valley State University
Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore.
by Andrew D. Hwang - Holy Cross
The author presents beautiful, interesting, living mathematics, as informally as possible, without compromising logical rigor. You will solidify your calculational knowledge and acquire understanding of the theoretical underpinnings of the calculus.
by Silvanus P. Thompson - The MacMillan Company
A book for the mathematically eager who know some algebra. First published in 1910, overall a million copies have been sold. Most talk of continuum and its infinities is suppressed. A remarkable and user-friendly approach to the study of calculus.