Elementary Calculus: An Approach Using Infinitesimals
by H. Jerome Keisler
Publisher: Bodgen & Quigley 2012
Number of pages: 992
This is a calculus textbook at the college Freshman level based on Abraham Robinson's infinitesimals, which date from 1960. Robinson's modern infinitesimal approach puts the intuitive ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners to understand than the more common approach via limits.
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by Harris Hancock - J. Wiley
Elliptic integrals originally arose in connection with the problem of the arc length of an ellipse. The author limits the monograph to the Legendre-Jacobi theory. He confines the discussion to the elliptic integrals of the first and second kinds.
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 H. Jerome Keisler - University of Wisconsin
This monograph is a companion to 'Elementary Calculus'. It can be used as a quick introduction to the infinitesimal approach to calculus for mathematicians, as background material for instructors, or as a text for an undergraduate seminar.
by Arthur Sullivan Gale, Charles William Watkeys - H. Holt & Co.
This book presents the elementary functions; algebraic and transcendental, and their applications to problems arising in various fields of knowledge. The treatment is confined to functions of one variable, with incidental exceptions ...