- #1
LyleJr
- 8
- 0
Hi all,
Sorry if this is the wrong section to post this.
For some time, I have wanted to derive the Laplacian in spherical coordinates for myself using what some people call the "brute force" method. I knew it would take several sheets of paper and could quickly become disorganized, so I decided to type it out and present it in what I hope is a logical and obvious manner.
It took me about four days of working in my spare time, but I just finished and thought it might be worth sharing. The Laplacian is something that comes up a lot in textbooks, but never really gets a good explanation of why it is has its final form.
Anyways, here it is. Please excuse any spelling errors. I do think the math is all correct though.
Sorry if this is the wrong section to post this.
For some time, I have wanted to derive the Laplacian in spherical coordinates for myself using what some people call the "brute force" method. I knew it would take several sheets of paper and could quickly become disorganized, so I decided to type it out and present it in what I hope is a logical and obvious manner.
It took me about four days of working in my spare time, but I just finished and thought it might be worth sharing. The Laplacian is something that comes up a lot in textbooks, but never really gets a good explanation of why it is has its final form.
Anyways, here it is. Please excuse any spelling errors. I do think the math is all correct though.