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- evaluate multiple integrals in cartesian, cylindrical and spherical coordinates, - analyze the properties of vector fields, - evaluate line and surface integrals of vector fields, - calculate the ...

This paper covers the concept of a conservative vector field, and its application in vector physics and Newtonian mechanics. Conservative vector fields are defined as the gradient of a scalar-valued ...

This repository hosts the project of developing Calculus content with a computer (Python) friendly approach and integrated to other media, like youtube. My purpose is to introduce the content through ...

Cylindrical and spherical coordinates, double and triple integrals, line and surface integrals. Change of variables in multiple integrals; gradient, divergence, and ...

Abstract: A variety of problems emerged investigating electronic circuits, computer devices and cellular automata motivated a number of attempts to create a differential and integral calculus for ...

Abstract: Sir Isaac Newton, one of the greatest scientists and mathematicians of all time, introduced the notion of a vector to define the existence of gravitational forces, the motion of the planets ...

The integral found in Equation \ref {eq:line0} is called a \sword {line integral}. We formally define it below, but note that the definition is very abstract. On one hand, one is apt to say ``the ...

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