1 / 4

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

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

constance
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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Mat-FMarch 16, 2005Curvi-linear Coordinates, 10.10 Åke Nordlund Niels Obers, Sigfus Johnsen Kristoffer Hauskov Andersen Peter Browne Rønne

  2. 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.

  3. 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!!!

  4. Enough for today! Good luck with the Exercises!

More Related