Physical Applications of Vector Calculus
T his chapter represents the culmination of multivariable calculus. We investigate the remarkable physical applications of vector calculus that provided the original motivation for the development of this subject in the seventeenth, eighteenth, and nineteenth centuries. The vector fields that we examine arise naturally in celestial mechanics, electromagnetism, and fluid flow. We will use the basic concepts of vector calculus to derive fundamental laws of physics in these subjects. In the attached Problem Set I, you will have a chance to use Mathematica to solve some interesting physical problems that would be difficult or impossible to tackle with pencil and paper alone.
KeywordsVector Field Gravitational Field Incompressible Fluid Flow Vector Calculus Newtonian Gravitation
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