An introduction to combinatorics

Syllabus

Preliminaries

Some properties of truth LN: 1, 2.
Naïve set theory LN: 3, 4.
Some homogeneous relations LN: 5.
Isomorphism theorems

Partitions of numbers

The pentagonal number theorem
The Rogers-Ramanujan identities
On the Bateman-Erdős theorems
Some asymptotics

Discrete geometrical objects

On the five platonic solids
The symmetries of Fano's plane
Euclidean tessellations
Hyperbolic tessellations

Coding and Cryptography

On the Enigma machine
Elliptic curve cryptograpy
Hamming's breakthrough
How to make your own QR-code

Contact

Mailing Address:
Facultad de Ciencias
Universidad de Colima
Bernal Diaz del Castillo 340
28045 Colima
Mexico

E-mail:
ccastanobernard at gmail dot com