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
Relationships, Change and Mathematical Analysisby Roy McWeeny - Learning Development Institute
This book deals with the mathematics we need in describing the relationships among the quantities we measure in Physics. This leads us into the study of relationships and change, the starting point for Mathematical Analysis and the Calculus.
(10103 views)
Calculus Unlimitedby Jerrold E. Marsden, A. Weinstein - 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.
(19461 views)
The Calculus for Beginnersby John William Mercer - Cambridge University Press
The author has been guided by the conviction that it is much more important for the beginner to understand clearly what the processes of the Calculus mean, and what it can do for him, than to acquire facility in performing its operations.
(16735 views)
A Brief Course in the Calculusby William Cain - D. Van Norstrand company
This book is intended not only for the class-room, but for the student without a teacher, who hopes to acquire some knowledge of the working principles of the Calculus in a short time. The book presupposes some knowledge of Geometry ...
(9941 views)