Relationships, Change and Mathematical Analysis
by Roy McWeeny
Publisher: Learning Development Institute 2011
Number of pages: 94
This book deals with the mathematics we need in describing the relationships among the quantities we measure in Physics and the Physical Sciences in general. This leads us into the study of relationships and change, the starting point for Mathematical Analysis and the Calculus -- which are needed in all branches of Science.
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by R. Almukkahal, V. Cifarelli, C. Fan, L. Jarvis - CK-12 Foundation
From the table of contents: Functions, Limits, and Continuity; Derivatives; Applications of Derivatives; Integration; Applications of Definite Integrals; Transcendental Functions; Integration Techniques; Infinite Series.
by Robert Ghrist - University of Pennsylvania
This text is meant to be read and enjoyed. It assumes you've seen some Calculus before: you know what to do (differentiate / integrate) and how to do it, but you don't know what it really means -- like everything else in life ...
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A book for the mathematically eager who know some algebra. First published in 1910, overall a million copies have been sold. Most talk of continuum and its infinities is suppressed. A remarkable and user-friendly approach to the study of calculus.
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Introduction to calculus based on the hyperreal number system for readers who are already familiar with calculus basics. It covers hyperreals, continuous functions, derivatives, geometric interpretation, optimization, integrals, applications, etc.