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.
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by J. Nicholas, J. Hunter, J. Hargreaves - University of Sydney
Table of contents: Functions (Definition of a function, Domain and range of a function, Specifying or restricting the domain of a function); More about functions; Piecewise functions and solving inequalities; Polynomials; Solutions to exercises.
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.
by Wilfred Kaplan, Donald J. Lewis - University of Michigan Library
The first volume covers vectors in the plane and one-variable calculus. The two volumes provide material for a freshman-sophomore course in calculus in which linear algebra is gradually introduced and blended with the calculus.
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.