42 lines
2.2 KiB
Markdown
42 lines
2.2 KiB
Markdown
# bookshelf
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A study of the books listed below. Most proofs are conducted in LaTeX. Where
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feasible, theorems are also formally proven in [Lean](https://leanprover.github.io/).
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- [ ] Apostol, Tom M. Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra. 2nd ed. Vol. 1. 2 vols. Wiley, 1991.
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- [x] Avigad, Jeremy. ‘Theorem Proving in Lean’, n.d.
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- [ ] Axler, Sheldon. Linear Algebra Done Right. Undergraduate Texts in Mathematics. Cham: Springer International Publishing, 2015.
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- [ ] Cormen, Thomas H., Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. Introduction to Algorithms. 3rd ed. Cambridge, Mass: MIT Press, 2009.
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- [ ] Enderton, Herbert B. A Mathematical Introduction to Logic. 2nd ed. San Diego: Harcourt/Academic Press, 2001.
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- [ ] Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
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- [ ] Gustedt, Jens. Modern C. Shelter Island, NY: Manning Publications Co, 2020.
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- [ ] Ross, Sheldon. A First Course in Probability Theory. 8th ed. Pearson Prentice Hall, n.d.
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- [ ] Smullyan, Raymond M. To Mock a Mockingbird: And Other Logic Puzzles Including an Amazing Adventure in Combinatory Logic. Oxford: Oxford university press, 2000.
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## Documentation
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To generate documentation, we use [bookshelf-docgen](https://github.com/jrpotter/bookshelf-docgen).
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Refer to this project on prerequisites and then run the following to build and
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serve files locally:
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```bash
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> lake build Bookshelf:docs
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> lake run server
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```
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This assumes you have `python3` available in your `$PATH`. To change how the
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server behaves, refer to the `.env` file located in the root directory of this
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project.
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A color code is used on generated PDF headers to indicate their status:
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* Cyan statements indicate axioms and definitions. There must exist a
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corresponding `axiom` or `def` in Lean.
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* Teal statements indicate those with complete proofs in both LaTeX *and* Lean.
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* Magenta statements indicate those that have not been completely proven in
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either LaTeX or Lean (or both). Progress is currently being made to correct
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this though.
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* Red coloring is a catch-all for all statements that don't fit the above
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categorizations. Incomplete definitions, proofs only conducted in LaTeX, etc.
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belong here.
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