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About this book
Develops calculus, as well as the necessary trigonometry and analytic geometry, from within the relevant historical context, using modern notation. Special emphasis is placed on the pedagogy.
Contents
Part 1: From Archimedes to Newton * The Greeks Measure the Universe * Ptolemy and the dynamics of the universe * Archimedes measures area * A New Astronomy and a New Geometry * The Calculus of Leibnitz * The Calculus of Newton * The Principia. Part 2: Calculus and the Sciences. - Analysis of Functions * Statics, Dynamics and Optics * Basic Functions and Their Graphs * Exponential Functions * The Calculus of Economics * Integral Calculus: Meaning and Methods * Integral Calculus and the meaning of Forces.
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