stacks-project
book
stacks-project | book | |
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14 | 6 | |
799 | 1,974 | |
4.1% | 0.4% | |
9.1 | 5.8 | |
15 days ago | 2 months ago | |
TeX | TeX | |
GNU General Public License v3.0 or later | - |
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stacks-project
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Wikipedia of Algebraic Geometry Will Forever Be Incomplete. (2022)
The Stacks project is meant to be a comprehensive Bourbaki-style textbook, not an encyclopedic survey, so the Wikipedia comparison is a miss. (The WP has a textbook level of detail on some topics, with proofs and examples, but these are few and far between and come from enthusiastic editors going above and beyond the WP's declared goals.)
Stacks is not finished, however -- still a lot of "Proof. Omitted.". From what I understand, the goal is to fill them all in (otherwise there would be references to the literature in their stead), but ultimately it is still mostly a one-person project (see https://github.com/stacks/stacks-project/graphs/contributors ).
I once filled in one of those missing proofs, only to see Johan replace it by a much better one that I would never have thought of. And this was (for him) a technical lemma, not one of the crown jewels of the project. His dedication to the project is truly incomparable to anything except Bourbaki and Serre. And the usefulness of the work extends far beyond algebraic stacks.
- I don't always use LaTeX, but when I do, I compile to HTML (2013)
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Ask HN: What are some well-designed websites?
Personally, I love the Stacks Project webpage (https://stacks.math.columbia.edu/); they way it is laid out, the font, the seamless integration of LaTeX in the test (https://stacks.math.columbia.edu/tag/0A2U) has made me rethink mathematical text for the web.
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Tree linking all math concepts together?
For algebraic geometry, there is the Stacks project online, which builds up all mathematics needed to understand algebraic stacks, from foundations. This time, foundations truly mean its basic axioms. Everything is proven except maybe with a few exceptions in the introduction, and everything has links. As such, it is a monstrously large project (the pdf-version is around 7500 pages iirc). This one is I think among my suggestions closest to what you had in mind. The only thing is that it again only focuses on one area of math.
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LaTeX for books?
Some famous collaborative books: * https://github.com/HoTT/book * https://github.com/OpenLogicProject/OpenLogic * https://github.com/stacks/stacks-project * http://math.uchicago.edu/~amathew/cr.html
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What are the subfields of algebraic geometry?
There is not really one good reference for algebraic geometry (even the EGA, SGA, FGA series, and that's assuming you can even plough through them all), but the Stacks Project (https://stacks.math.columbia.edu/) is at least very good for CAG.
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Comprehensive math education
The Stacks Project is a massive project covering algebraic geometry. The nLab is a wiki that covers a staggering amount of material from its own, rather specific, point of view.
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I finished Hartshorne… now what?
Well, I talked to a friend who knows a lot of AG. He recommended "learning some things in topology like model categories" and discouraged learning about infinity categories without other stuff. Also, if you're interested in stacks, try the Stacks Project?
- The Stacks project: open-source textbook and reference on algebraic geometry
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Found a little gem online. Do you know other gems that are worth mentioning?
For more specialized and advanced interests, The Stacks Project is mindboggling how in-depth it is. Once you know how to read it, it can be pretty useful. The LMFDB is also good for stuff regarding elliptic curves, L-functions, and modular forms.
book
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LaTeX for books?
Some famous collaborative books: * https://github.com/HoTT/book * https://github.com/OpenLogicProject/OpenLogic * https://github.com/stacks/stacks-project * http://math.uchicago.edu/~amathew/cr.html
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Introduction to Homotopy Type Theory
Is this supposed to be more accessible than the HoTT textbook that's been maintained on Github for some years? https://github.com/HoTT/book
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Does something like git for MS Word Exisits?
Here's one example of a book with multiple collaborators: https://github.com/HoTT/book (Credit to Colt Steele, who mentions it in his The Git & GitHub Bootcamp course on Udemy).
- Use Inclusive Language in §1.11
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How can a layman begin learning Martin-Löf Type Theory? What are the prerequisites to learn it?
If the pdf links don't work, those on the github link should work: https://github.com/HoTT/book/wiki/Nightly-Builds
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Advancements in math typesetting
Office packages (e.g. Microsoft Word or LibreOffice Calc) because I firmly believe that WYSIWYG editors are a nightmare for both version control and collaborative editing (yes, I know about Google Docs, but imagine writing the HoTT book or Stacks project in Google Docs).
What are some alternatives?
tectonic - A modernized, complete, self-contained TeX/LaTeX engine, powered by XeTeX and TeXLive.
git-diff-img - 📷 Diff Git versioned images graphically.
numerical-linear-algebra - Free online textbook of Jupyter notebooks for fast.ai Computational Linear Algebra course
OpenLogic - An open-source, customizable intermediate logic textbook
github-orgmode-tests - This is a test project where you can explore how github interprets Org-mode files
maths_book - Planning for an entire maths LaTeX book
pandoc - Universal markup converter
microMathematics - microMathematics Plus - Extended visual calculator
Asciidoctor - :gem: A fast, open source text processor and publishing toolchain, written in Ruby, for converting AsciiDoc content to HTML 5, DocBook 5, and other formats.
csswg-drafts - CSS Working Group Editor Drafts