**Brief Calculus**

by Benjamin Crowell

2015**Number of pages**: 207

**Description**:

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.

Download or read it online for free here:

**Download link**

(6.1MB, PDF)

## Similar books

**Elements of the Differential and Integral Calculus**

by

**William Anthony Granville**-

**Ginn**

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.

(

**17788**views)

**Basic Calculus Refresher**

by

**Ismor Fischer**-

**University of Wisconsin**

This is a very condensed and simplified version of basic calculus, which is a prerequisite for many courses in Mathematics, Statistics, Engineering, etc. It is not comprehensive, and not intended to be a substitute for a one-year freshman course.

(

**8197**views)

**CK-12 Single Variable Calculus**

by

**R. Almukkahal, V. Cifarelli, C. Fan, L. Jarvis**-

**CK-12 Foundation**

From the table of contents: Functions, Limits, and Continuity; Derivatives; Applications of Derivatives; Integration; Applications of Definite Integrals; Transcendental Functions; Integration Techniques; Infinite Series.

(

**13988**views)

**A Summary of Calculus**

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.

(

**15329**views)