Timeline for Proof of Green's theorem in Apostol book [closed]
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 13, 2010 at 20:11 | history | closed | Ben Webster♦ | too localized | |
| Apr 27, 2010 at 4:28 | answer | added | pedro | timeline score: 2 | |
| Apr 26, 2010 at 18:25 | comment | added | Willie Wong | Also, your question is not quite at the right level for this website. It will fit in better at Art of Problem Solving, or NRICH, links to which are available here: mathoverflow.net/faq#whatnot Best of luck on your studies! | |
| Apr 26, 2010 at 18:22 | comment | added | Willie Wong | If I understand you correctly, I think what you are doing is okay. I don't have Apostol 1st ed. handy, so let me try to summarize what you wrote: $\gamma$ is a closed contour (let's say a circle). $\gamma_1,\gamma_2$ are two closed contours, they are two half-circles with the diameter included. What you do is to apply Theorem 8.11 to $\gamma_1$ and $\gamma_2$ as the Arc part + the diameter part. Then Apostol's claim follows if you observe the diameter parts of $\gamma_{1,2}$ cancel each other. The "double points" contribute infinitesimally to the integral, so you don't need to worry there. | |
| Apr 26, 2010 at 17:06 | history | asked | pedro | CC BY-SA 2.5 |