Mat f march 16 2005 curvi linear coordinates 10 10 l.jpg
This presentation is the property of its rightful owner.
Sponsored Links
1 / 4

Mat-F March 16, 2005 Curvi-linear Coordinates, 10.10 PowerPoint PPT Presentation


  • 154 Views
  • Uploaded on
  • Presentation posted in: General

Mat-F March 16, 2005 Curvi-linear Coordinates, 10.10. Åke Nordlund Niels Obers, Sigfus Johnsen Kristoffer Hauskov Andersen Peter Browne Rønne. Overview. Sections 10.6-10.10 10.6 Scalar and vector fields scalar or vector that varies in space 10.7 Vector operators

Download Presentation

Mat-F March 16, 2005 Curvi-linear Coordinates, 10.10

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Mat f march 16 2005 curvi linear coordinates 10 10 l.jpg

Mat-FMarch 16, 2005Curvi-linear Coordinates, 10.10

Åke Nordlund

Niels Obers, Sigfus Johnsen

Kristoffer Hauskov Andersen

Peter Browne Rønne


Overview l.jpg

Overview

  • Sections 10.6-10.10

    • 10.6 Scalar and vector fields

      • scalar or vector that varies in space

    • 10.7 Vector operators

      • gradient, divergence, curl

    • 10.8 Vector operator formulae

      • learn the magic!

    • 10.9 Vector operators in polar coordinates

      • explains what was used before

    • 10.10 General curvilinear coordinates

      • generalizes e.g. polars; Einsteins theory of general rel.


Black board maple illustrations l.jpg

Black board & Maple illustrations

  • Integral definitions of grad, div, and curl

    • Preview of Eqs. (11.14-11.16) page 404!

    • Preview of what line, surface, and volume integrals mean!

  • Beautiful; independent of coordinate systems!

    • Check that it means the same in Cartesian

    • Derive now easily the expressions in curvi-linear

      • Table 10.4, page 375b

  • Geometric interpretation

    • Visual / conceptual understanding!!!


  • Enough for today l.jpg

    Enough for today!

    Good luck with the Exercises!


  • Login