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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This wikibook aims to be a quality calculus textbook through which users may master the discipline. Standard topics such as limits, differentiation and integration are covered as well as sequences and series, multivariable and differential calculus.
by Virgil Snyder - Cornell University Library
The author made special effort to present the calculus in a simple and direct form. Easy applications of the calculus to maxima and minima, tangents and normals, inflexions, asymptotes, and curve tracing have been introduced.
by Wilfred Kaplan, Donald J. Lewis - University of Michigan Library
In the second volume of Calculus and Linear Algebra, the concept of linear algebra is further developed and applied to geometry, many-variable calculus, and differential equations. This volume introduces many novel ideas and proofs.
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.