Discrete Mathematics Resources
Editors:
Steven T. Dougherty -- University of Scranton, USA
Frederique Oggier -- Nanyang Technological University, Singapore
If I were again beginning my studies, I would follow the advice of Plato and start with mathematics.
-- Galileo Galilei
Below are chapters in Discrete Mathematics in .pdf form. At present there are 710 pages of material. The chapters are written to be used independently of each other. Each chapter can be shared with students or used in any class in any way. Please feel free to let us know (prof.steven.dougherty@gmail.com) if you use our resources for your class.
All of the resources on this page are free and can be used for any course at any institution or for private learning. Feel free to share them, print them, or distribute them in any way that you want. Consider them like an intellectual public park. Any comments can be sent to prof.steven.dougherty@gmail.com. If you have a suggestion for an additional chapter or resource please let us know.
Elementary Topics
Logic (Steven T. Dougherty and Frederique Oggier)
Set Theory (Gary Greaves and Frederique Oggier)
Relations (Steven T. Dougherty and Bahattin Yildiz)
Functions (Jennifer Vasquez)
Permutations (Steven T. Dougherty)
Properties of Integers (Steven T. Dougherty, Andre Leroy, Esengul Salturk)
Matrices (Jason M. Graham)
Counting (Steven T. Dougherty, Gary Greaves and Frederique Oggier)
Graphs (Steven T. Dougherty and Murong Xu)
Posets (Steven T. Dougherty and Serap Sahinkaya)
Advanced Topics
Methods of Proof (Michael Allocca)
Modular Arithmetic (Steven. T. Dougherty, Andre Leroy, Esengul Salturk)
Discrete Probability (Joeseph Klobusicky)
Number Theory (Steven. T. Dougherty, Andre Leroy, Esengul Salturk)
Sequences (Jose Franco and Pedro Morales-Almazan)
Coding Theory (Cristina Fernandez-Cordoba and Merce Villanueva)
Coding Theory 2 (Steven T. Dougherty)
Cryptography (Steven T. Dougherty and Frederique Oggier)
Latin Squares (Steven T. Dougherty and Gina Kucinski)
Authors
Michael Allocca -- Muhlenberg College, USA
Steven T. Dougherty -- University of Scranton, USA
Cristina Fernandez-Cordoba -- Autonomous University of Barcelona, Spain
Jose Franco -- University of Northern Florida
Jason Graham -- University of Scranton, USA
Gary Greaves -- Nanyang Technological University, Singapore
Joseph Klobusicky -- University of Scranton, USA
Gina Kucinski -- USA
Andre Leroy -- Universite d'Artois, France
Pedro Morales-Almazan -- University of California, Santa Cruz, USA
Frederique Oggier -- Nanyang Technological University, Singapore
Esengul Salturk -- TUBITAK, Turkey
Serap Sahinkaya -- Turkey
Jennifer Vasquez -- University of Scranton, USA
Merce Villanueva -- Autonomous University of Barcelona, Spain
Murong Xu -- University of Scranton
Bahattin Yildiz, Northern Arizona University, USA