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.
Home page url
Download or read it online for free here:
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 Leif Mejlbro - BookBoon
This volume covers partial integration, integration by simple substitutes, integration by advanced substitutions, decomposition, integration by decomposition, trigonometric integrals, MAPLE programs, moment of inertia, and mathematical models.
by Dan Sloughter
Introduction to calculus based on the hyperreal number system for readers who are already familiar with calculus basics. It covers hyperreals, continuous functions, derivatives, geometric interpretation, optimization, integrals, applications, etc.
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.