Foundations of Infinitesimal Calculus
by K.D. Stroyan
Publisher: Academic Press, Inc. 1997
Number of pages: 182
This book of mathematical 'background' shows how to fill in the mathematical details of the main topics from the course. These proofs are completely rigorous in the sense of modern mathematics - technically bulletproof. We wrote this book of foundations in part to provide a convenient reference for a student who might like to see the 'theorem - proof' approach to calculus.
Home page url
Download or read it online for free here:
by James Callahan, et al. - Five Colleges, Inc.
In this course you will learn to use calculus both as a tool and as a language in which you can think coherently about the problems you will be studying. The computer or the graphing calculator is a tool that that you will need for this course.
by Jerrold E. Marsden, Alan Weinstein - Springer
The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. The exercise sets have been carefully constructed to be of maximum use to the students.
by Thomas I. Vogel
The intuition is useful in dealing with simple examples, but can be a hindrance to deeper understanding of the basic concepts of mathematical analysis. The point of this text is to challenge and refine the intuition of better calculus students.
by David Guichard - Lyryx
The book covers the standard Calculus I and II courses, with Calculus III under development. It is accessible to first year college and university students. The emphasis in this course is on problems -- doing calculations and story problems.