4 ms·

Harmonic Function Theory

37 points by ibobev 2y ago

sgdpk 2y ago
I don't know about this book, but I highly recommend "Linear Algebra Done Right" by the same author. It is a very clear presentation of Linear Algebra. Although I would recommend it for someone who already took a first course on it.
- lanternfish 2y ago
  My High School teaches it as the introductory Linear Algebra course and - while it is a bit difficult - it does an excellent job priming students to think about Lin Alg as a higher order discipline. After doing it both ways, I really appreciate introducing vector spaces and linear transformations before even touching matrices.
  - ruggeri 2y ago
    May I ask what high school? We did not have a linear algebra course in my New York high school. I would have liked to have been able to take linear algebra then.
    - lanternfish 2y ago
      Pretty exclusive private bay area school - not the norm by any means. It's offered as one of the electives after calculus - multivariable, linear algebra, and a rotating set of others.
jfubgnpp 2y ago
If any of you LLM optimists want a project to try to justify those silicon fires I'd suggest starting with an automated service that converts all of the troves of academic material written in proprietary mathematical source code (mathematica) into open alternatives (sage, python). See also: https://oeis.org/ https://oeis.org/
- lupire 2y ago
  Mathics is an open source clone of Mathematica. https://mathics.org/ https://mathics.org/ Naturally, Wolfram hired the creator and the project nearly died. A couple of heroes stepped in to create a second generation, but it's just too hard to continually compete with a multi-billion dollar company. No idea how OEIS is involved.
  - jfubgnpp 2y ago
    When you use OEIS you find that many sequences have generating source only in Mathematica.
- vinnyvichy 2y ago
  Do you have links to these services & libraries (assuming they can also convert the wolfram binaries?) Appreciate!
jfoutz 2y ago
Any book that gives a full pdf preview, I’m at least considering purchasing. I don’t want to take money out of the author’s pocket, but this, > Printing has been disabled from within this pdf file, so although you can view the entire book, you will not be able to print it. Yeah, I don’t believe that. The goal of the author is admirable. I feel like they got fooled somehow, but maybe they do understand and are just hinting that if you’re going to read it, kick them some cash.
- Davidzheng 2y ago
  I think it's like a wink wink
  - jfoutz 2y ago
    That makes so much sense.
- LegionMammal978 2y ago
  > Yeah, I don’t believe that. The PDF format does actually let documents instruct PDF processors to disallow printing [0]; Acrobat Reader (if nothing else) presumably respects these instructions, even though they're obviously possible to work around. [0] e.g., https://opensource.adobe.com/dc-acrobat-sdk-docs/pdfstandards/pdfreference1.7old.pdf https://opensource.adobe.com/dc-acrobat-sdk-docs/pdfstandard..., p. 123, Table 3.20, "User access permissions", and probably others that I can't find right now
  - jfoutz 2y ago
    It's absolutely lovely that you looked up the spec. First, you could screenshot each page, and print that. That's a lift. Second, It's not that hard to extract text from pdf file formats. That's also a lift. but like, it's not that complicated. yes, text flow, font selection, on and on, but it's just postscript. Pull the text and print it. It's signed not encrypted. It's challenging to implement pdf. javascript support is nuts, for example. But if you just want to pull the text? there's not much to it. Pay the author. It's not much. But like, it's not locked down.
jey 2y ago
I never really got the hang of Laplacians, which are fundamental to the motivation behind and study of harmonic functions. But here’s a short Khan Academy video I just watched which gives a nice intuitive explanation of the Laplacian operator: https://youtu.be/EW08rD-GFh0 https://youtu.be/EW08rD-GFh0
mmorse1217 2y ago
Awesome book; great reference in grad school.

37 points by ibobev 2y ago

I don't know about this book, but I highly recommend "Linear Algebra Done Right" by the same author. It is a very clear presentation of Linear Algebra. Although I would recommend it for someone who already took a first course on it.

lanternfish 2y ago
My High School teaches it as the introductory Linear Algebra course and - while it is a bit difficult - it does an excellent job priming students to think about Lin Alg as a higher order discipline. After doing it both ways, I really appreciate introducing vector spaces and linear transformations before even touching matrices.
- ruggeri 2y ago
  May I ask what high school? We did not have a linear algebra course in my New York high school. I would have liked to have been able to take linear algebra then.
  - lanternfish 2y ago
    Pretty exclusive private bay area school - not the norm by any means. It's offered as one of the electives after calculus - multivariable, linear algebra, and a rotating set of others.

jfubgnpp 2y ago

If any of you LLM optimists want a project to try to justify those silicon fires I'd suggest starting with an automated service that converts all of the troves of academic material written in proprietary mathematical source code (mathematica) into open alternatives (sage, python). See also: https://oeis.org/ https://oeis.org/

lupire 2y ago
Mathics is an open source clone of Mathematica. https://mathics.org/ https://mathics.org/ Naturally, Wolfram hired the creator and the project nearly died. A couple of heroes stepped in to create a second generation, but it's just too hard to continually compete with a multi-billion dollar company. No idea how OEIS is involved.
- jfubgnpp 2y ago
  When you use OEIS you find that many sequences have generating source only in Mathematica.
vinnyvichy 2y ago
Do you have links to these services & libraries (assuming they can also convert the wolfram binaries?) Appreciate!

jfoutz 2y ago

Any book that gives a full pdf preview, I’m at least considering purchasing. I don’t want to take money out of the author’s pocket, but this, > Printing has been disabled from within this pdf file, so although you can view the entire book, you will not be able to print it. Yeah, I don’t believe that. The goal of the author is admirable. I feel like they got fooled somehow, but maybe they do understand and are just hinting that if you’re going to read it, kick them some cash.

Davidzheng 2y ago
I think it's like a wink wink
- jfoutz 2y ago
  That makes so much sense.
LegionMammal978 2y ago
> Yeah, I don’t believe that. The PDF format does actually let documents instruct PDF processors to disallow printing [0]; Acrobat Reader (if nothing else) presumably respects these instructions, even though they're obviously possible to work around. [0] e.g., https://opensource.adobe.com/dc-acrobat-sdk-docs/pdfstandards/pdfreference1.7old.pdf https://opensource.adobe.com/dc-acrobat-sdk-docs/pdfstandard..., p. 123, Table 3.20, "User access permissions", and probably others that I can't find right now
- jfoutz 2y ago
  It's absolutely lovely that you looked up the spec. First, you could screenshot each page, and print that. That's a lift. Second, It's not that hard to extract text from pdf file formats. That's also a lift. but like, it's not that complicated. yes, text flow, font selection, on and on, but it's just postscript. Pull the text and print it. It's signed not encrypted. It's challenging to implement pdf. javascript support is nuts, for example. But if you just want to pull the text? there's not much to it. Pay the author. It's not much. But like, it's not locked down.

jey 2y ago

I never really got the hang of Laplacians, which are fundamental to the motivation behind and study of harmonic functions. But here’s a short Khan Academy video I just watched which gives a nice intuitive explanation of the Laplacian operator: https://youtu.be/EW08rD-GFh0 https://youtu.be/EW08rD-GFh0

mmorse1217 2y ago

Awesome book; great reference in grad school.