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Leaving the cave: an introduction to mathematical thinking.

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Leaving the cave: an introduction to mathematical thinking

This is an open-source mathematics textbook. It is meant to have near zero prerequisites and aims to present the "formal construction of mathematics" from scratch. You can find more information and the compiled PDFs on my website.

This work is distributed under the CC BY 4.0 license.

The master branch of this repository contains the source code of the latest release. Other branches may contain the source of released drafts.

If you have any suggestions or questions, or if you find any typos or mistakes, please, let me know. Your feedback will be greatly appreciated.

How to compile

Depending on the format you want, you'll have to compile one of these files:

  • ltc.tex
  • ltc-print.tex
  • ltc-a5.tex
  • ltc-a5print.tex

You will need the document class sgcbook.cls and the fonts it uses. All this can be found in the repository gonzalezcastillo/sgc-latex.

Adaptations

Since nothing can suit everybody, adaptations of this book are allowed and encouraged! To write an adaptation, you can replace the file main.tex with the template adapt.tex filled with the details of your adaptation and then set your creativity free.

The template is there to make things easier for you; it is just an option. You can change the book however you want as long as you comply with the license.

If you have any questions on these matters, send me an email. I will be very happy to help you.