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 W.P. Webber, L.C. Plant - John Wiley & sons
The present text is the result of several years of study and trial in the classroom in an effort to make an introduction to college mathematics more effective and better suited to its place in a scheme of education under modern conditions of life.
by David Guichard, Neal Koblitz
This textbook covers analytic geometry, derivative, transcendental functions, curve sketching, integration, sequences and series, three dimensions, vector functions, partial differentiation, multiple integration, and vector valculus.
by C. E. Love, E. D. Rainville - The MacMillan Company
This book presents a first course in the calculus. The text is intended to contain a precise statement of the fundamental principle involved, and to insure the student's clear understanding of this principle, without a multitude of details.
by Horst R. Beyer
Contents: Limits and Continuous Functions; Differentiation; Riemann Integration; Improper Integrals; Series of Real Numbers; Series of Functions; Analytical Geometry; The Riemann Integral in n-dimensions; Vector Calculus; etc.