Lecture Notes

User Tools

Site Tools

You are here: Course Notes » Math 121B: Mathematics for Physical Sciences » 2020-02-05 Metric Tensor
math121b:02-05

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

math121b:02-05 [2020/02/04 21:24]
127.0.0.1 external edit 		math121b:02-05 [2020/02/06 00:36] (current)
pzhou
Line 70: Line 70:
 $$\Gamma_f = \{(x,y,z) \in \R^3 \mid z = f(x,y) \}. $$ $$\Gamma_f = \{(x,y,z) \in \R^3 \mid z = f(x,y) \}. $$
 Here is a picture, [[https://www.wolframalpha.com/input/?i=plot+sin%28x%29sin%28y%29 | plotted using Wolfram alpha]] Here is a picture, [[https://www.wolframalpha.com/input/?i=plot+sin%28x%29sin%28y%29 | plotted using Wolfram alpha]]
-{{ :math121b:sinxsiny.gif?nolink |}}+{{ :math121b:sinxsiny.gif?nolink | }}
  
 ** Parametrization of $\Gamma_f$ **, we will parametrize points on $\Gamma_f$ using its $(x,y)$ coordinates, to be clear, we call them $(u,v)$. That is ** Parametrization of $\Gamma_f$ **, we will parametrize points on $\Gamma_f$ using its $(x,y)$ coordinates, to be clear, we call them $(u,v)$. That is
math121b/02-05.1580880273.txt.gz · Last modified: 2020/02/04 21:24 by 127.0.0.1

Page Tools

Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
CC Attribution-Share Alike 4.0 International Donate Powered by PHP Valid HTML5 Valid CSS Driven by DokuWiki