Brief Calculus by Benjamin Crowell

Large book cover: Brief Calculus

Brief Calculus

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.

Home page url

Download or read it online for free here:
Download link
(6.1MB, PDF)

Similar books

Book cover: Real Functions in One Variable: Calculus 1aReal Functions in One Variable: Calculus 1a
by - BookBoon
Most students already have assigned textbooks when studying Calculus I, therefore this free book takes a different approach. It focuses on explaining the central theories and warns students of the areas where mistakes are traditionally made.
Book cover: Calculus for Beginners and ArtistsCalculus for Beginners and Artists
by - MIT
Calculus is the study of how things change, it provides a framework for modeling systems in which there is change. This online textbook provides an overview of Calculus in clear, easy to understand language designed for the non-mathematician.
Book cover: Calculus with Analytic GeometryCalculus with Analytic Geometry
by - W W Norton & Co Inc
Contents: Functions, Limits, and Derivatives; Conic Section; Integration; Logarithms and Exponential Functions; Trigonometric Functions; Techniques of Integration; The Definite Integral; Infinite Series; Geometry in the Plane; Differential Equations.
Book cover: Calculus UnlimitedCalculus Unlimited
by - 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.