I love the style, I'll download it when I get home. Is there anything similar but for statistics?
Came here to ask the same question. Really hope there are some good recommendations!
Everything you always wanted to know about mathematics (2013) [pdf]
71–80 of 153 posts
Re: Everything you always wanted to know about mathematics (2013) [pdf]
#72Re: Everything you always wanted to know about mathematics (2013) [pdf]
#73One thing I've always wanted is a comprehensive guide to mathematical notation, which tells you what symbols mean or at least what field of mathematics they come from.
I frequently come across all sorts of weird mathematical symbols in papers, and of course these symbols are virtually never explained, so I have no idea what they mean.
Even better would be if there was some way an LLM could read through a paper itself and then explain the equations.
Re: Everything you always wanted to know about mathematics (2013) [pdf]
#74If you want to go deeply into formalized mathematics, take a look at the Metamath Proof Explorer https://us.metamath.org/mpeuni/mmset.html>. It defines a set of axioms, and formally verifies every proof showing every step (hiding nothing).
Re: Everything you always wanted to know about mathematics (2013) [pdf]
#75Does anyone know of an entry level book that could take someone through say, high school math to college alegbra / calculus? This is my singular biggest hurdle in going back to school to finish my degree and I'd love to fill the gaps I have around mathematics so I can not only finish my degree; I'd also like to participate in some more advanced computer science that rely heavily on underlying computation.
I think you might like my book "No Bullshit Guide to Math & Physics"[1,2,3], which contains a condensed review of high school math (a.k.a. algebra and precalculus), then explains PHYS and CALC topics in an integrated manner.
[1] website https://minireference.com/ [2] PDF preview and sample chapter = https://minireference.com/static/excerpts/noBSmathphys_v5_pr... [3] concept map = https://minireference.com/static/conceptmaps/math_and_physic...
If you prefer something focussed on a review of high school math topic, then you might prefer the "green book" instead, see https://nobsmath.com/
Re: Everything you always wanted to know about mathematics (2013) [pdf]
#76Earlier quoted context omitted.
Still, I'm in doubt that a significant proportion of us would have the discipline for this. One reason why some things are pretty much only learned in university is that they provide the necessary motivation.
I collect interesting problems and learn the math that can solve them. I do best by directly connecting fun and learning.
I've been very interested in this method for a while. How do you find the math that would solve them? Is it well-understood, or is it easy to figure out in practice? Would love to hear more about how this looks for you practically.
Re: Everything you always wanted to know about mathematics (2013) [pdf]
#77One thing I've always wanted is a comprehensive guide to mathematical notation, which tells you what symbols mean or at least what field of mathematics they come from. I frequently come across all sorts of weird mathematical symbols in papers, and of course these symbols are virtually never explained, so I have no idea what they mean. Even better would be if there was some way an LLM could read through a paper itself…
I doubt that having a "dictionary" attached to a math paper, something like
1. ∇ = nabla see https://mathworld.wolfram.com/Nabla.html
2. ...
3. ...
would improve your understanding. Notation encodes ideas, it is the understanding of the ideas that is tricky, not the encoding.
Re: Everything you always wanted to know about mathematics (2013) [pdf]
#78As a CS major who went to CMU years ago, my favorite book from all of my professors was for my 15-213 class called Computer Systems: A Programmers Perspective I remember at the time the book was in loose leaf paper so it warms my heart to see the book has a 3rd edition. It was used as a core part of teaching assembly, memory representations, and getting students ready for the operating systems class. When I help peop…
+1. This book changed my life. Wouldn't be doing what I'm doing today without it!
Re: Everything you always wanted to know about mathematics (2013) [pdf]
#79One thing I've always wanted is a comprehensive guide to mathematical notation, which tells you what symbols mean or at least what field of mathematics they come from. I frequently come across all sorts of weird mathematical symbols in papers, and of course these symbols are virtually never explained, so I have no idea what they mean. Even better would be if there was some way an LLM could read through a paper itself…
I doubt that having a "dictionary" attached to a math paper, something like 1. ∇ = nabla see https://mathworld.wolfram.com/Nabla.html 2. ... 3. ... would improve your understanding. Notation encodes ideas, it is the understanding of the ideas that is tricky, not the encoding.
It would actually help. I'd know what fields I need to study to more fully understand the papers I'm interested in.
It would also help me figure out what to ask LLMs (or people) to explain to me.
Re: Everything you always wanted to know about mathematics (2013) [pdf]
#80One thing I've always wanted is a comprehensive guide to mathematical notation, which tells you what symbols mean or at least what field of mathematics they come from. I frequently come across all sorts of weird mathematical symbols in papers, and of course these symbols are virtually never explained, so I have no idea what they mean. Even better would be if there was some way an LLM could read through a paper itself…
many books will have a page in the preface that lays out the notation, even for very common objects. it's hard to make a cheat sheet for something like this because many symbols are used in different fields, and even if different subfields of the same field.