Lecture notes written at the University of El Salvador (2016–2019)

The idea of this repository is to collect all LaTeX code for my notes written in San Salvador that can be found at

https://cadadr.org/teaching/san-salvador/

I hope these may be of some use.

What I have uploaded thus far

• bernoulli/ — Introducción a los números de Bernoulli (febrero de 2017).

  Página del curso: https://cadadr.org/teaching/san-salvador/2017-02-bernoulli/

• categorias/ — Introducción al lenguaje funtorial/categórico (junio de 2018).

  Página del curso: https://cadadr.org/teaching/san-salvador/2018-06-categorias/

• cuatro-cuadrados/ — una charla sobre el teorema de cuatro cuadrados para los estudiantes de licenciatura (marzo de 2018).

• esquemas/ — seminario de maestría «Invitación a la teoría de esquemas» (agosto de 2019).

  Página del curso: https://cadadr.org/teaching/san-salvador/2019-esquemas/

• groebner/ — curso de maestría «Intoducción al álgebra conmutativa computacional» (bases de Gröbner etc.; primavera de 2019).

  Página del curso: https://cadadr.org/teaching/san-salvador/2019-groebner/

• numeros-p-adicos/ — introducción a los números p-ádicos y el lema de Hensel (abril y septiembre de 2018).

  Página del curso: https://cadadr.org/teaching/san-salvador/2018-04-numeros-p-adicos/

• reciprocidad-cuadratica/ — reciprocidad cuadrática; una parte del curso de la teoría de números elemental en la licenciatura (noviembre de 2018).

  Página del curso: https://cadadr.org/teaching/san-salvador/2018-04-numeros-p-adicos/

Compilation

Compiling the documents requires pdflatex, metapost, bibtex, etc., as well as various LaTeX packages. Everything is available from TeX Live. make all should run the complete compilation process (if you use GNU/Linux).

If you only need the compiled PDFs, check https://cadadr.org/teaching/

Typos and corrections

All these texts were written for my students while I was visiting El Salvador. I don't plan to edit them in any substantial way, but if you spot an error or typo, please drop me a message to cadadr@gmail.com.

Acknowledgements

Prof. Gabriel Alexander Chicas Reyes invested a lot of his time in proofreading draft versions of these notes and made many valuable remarks regarding grammar, mathematical writing in Spanish, mathematics, etc.

My visits to El Salvador were supported by the Ministry of Education.

Special thanks to

• Carlos Mauricio Canjura Linares (the Misiter of education at the time),

• José Nerys Funes Torres (director of the math department during my visits),

• Prof. Ernesto Americo Hidalgo Castellanos.