Chapter 3. Differentiation and Integration
In this chapter, we will master some classical and state-of-the-arts techniques to perform the two core operations in Calculus (and, by extension, in Physics and every engineering field): differentiation and integration of functions.
Motivation
Common to the design of railway or road building (especially for highway exits), as well as those crazy loops in many roller coasters, is the solution of differential equations in two or three dimensions that address the effect of curvature and centripetal acceleration on moving bodies. In the 1970s, Werner Stengel studied and applied several models to attack this problem and, among the many solutions he found, one struck as particularly brilliant—the employment ...
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