Multiple Integrals; Coordinate Systems

  • Klaus Weltner
  • Sebastian John
  • Wolfgang J. Weber
  • Peter  Schuster
  • Jean  Grosjean
Chapter

Abstract

Let us develop the problem by a simple example. A solid cube, as shown in Fig. 13.1, has a volume V. If the density ρ is constant throughout the entire volume then the mass is given by M = ρV. There are cases, however, in which the density ρ is not constant throughout the volume. The density of the Earth is greater near the center than at the surface. The density of the atmosphere is at a maximum at the surface of the Earth: it decreases exponentially with the altitude.

Keywords

Cylin 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2014

Authors and Affiliations

  • Klaus Weltner
    • 1
  • Sebastian John
    • 4
  • Wolfgang J. Weber
    • 5
  • Peter  Schuster
    • 2
  • Jean  Grosjean
    • 3
  1. 1.Institute for Didactic of PhysicsUniversity of FrankfurtFrankfurtGermany
  2. 2.SulzbachGermany
  3. 3.School of Engineering at the University of BathBathUK
  4. 4.JahnsdorfGermany
  5. 5.Computing CenterUniversity of FrankfurtFrankfurtGermany

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