Advertisement

Physical Applications of Vector Calculus

  • Kevin R. Coombes
  • Ronald L. Lipsman
  • Jonathan M. Rosenberg

Abstract

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.

Keywords

Vector Field Gravitational Field Incompressible Fluid Flow Vector Calculus Newtonian Gravitation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Kevin R. Coombes
    • 1
  • Ronald L. Lipsman
    • 1
  • Jonathan M. Rosenberg
    • 1
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA

Personalised recommendations