| Thread Closed |
Change of variables. |
Share Thread | Thread Tools |
| Apr29-04, 06:12 AM | #1 |
|
|
Change of variables.
Does anyone know of any sources that explain change of variables for double integrals. Actually, I get the change of variables thing, but a few of our problems don't give us the transforms. I don't understand how to create these myself.
Here is an example: Math Problem So far, I found all the x,y coordinates of the joints because I know these joints or cross sections will exist after we change variables. However, I don't know where to go from there. Can I essentially make any transform I like? |
| Apr29-04, 06:49 AM | #2 |
|
|
1) Sources:
In my opinion, an excellent intuitive understanding of the change of variables stuff can be found in Marsden&Tromba "Vector Calculus" (Lots of editions..). Instead of "burdening" the reader with rigorous proofs of the change-of-variables theorem, it has a clear focus on how to generate the "proper" area elements dA. (Lots of worked examples as well!) If you want a more rigorous treatment, one book is Marsden "Introduction to Real Analysis" 2) Problem: Note that your region is bounded by two pairs of parallell lines. Try setting u=2x-y, v=3x+y, and see what you get. |
| Apr29-04, 11:08 AM | #3 |
|
|
|
| Apr29-04, 10:39 PM | #4 |
|
|
Change of variables.
Yes that is the way to go--- I just consider C o V as the "U-substitution" chapter but for Double Integrals. (Or even triple--- but i hate calculating 3x3 determinants!)
|
| Thread Closed |
| Thread Tools | |
Similar Threads for: Change of variables.
|
||||
| Thread | Forum | Replies | ||
| 3D Change of Variables | Calculus & Beyond Homework | 2 | ||
| change of variables | Calculus & Beyond Homework | 4 | ||
| Change of Variables | Calculus & Beyond Homework | 1 | ||
| change of variables | Introductory Physics Homework | 9 | ||
| Help with change of variables please | Calculus | 32 | ||