32 Discrete Mathematics
A Cool Brisk Walk Through Discrete Mathematics
Stephen Davies (University of Mary Washington)
2023
Licence: CC BY-SA
This text covers sets, relations, probability, structures, counting, logic, and proof.
Format: PDF
Suggested for: MATH 309
A Gentle Introduction to the Art of Mathematics
Joe Fields (Southern Connecticut State University)
2023
GNU Free Documentation Licence
This text covers several topics in the foundations of mathematics (logic, sets, relations, functions and cardinality) and introduces the reader to many techniques of mathematical proof (direct, indirect, contradiction, contrapositive, mathematical induction, combinatorial proofs and magic). There are amusing quotations at the start of each chapter.
Format: PDF
Suggested for: MATH 309
Discrete Mathematics: An Open Introduction
Oscar Levin (University of Northern Colorado)
2016
Licence: CC BY-SA
Approved by the American Institute of Mathematics, this textbook grew out of a discrete mathematics course at the University of Northern Colorado.
Formats: Online, PDF, and LaTex
Suggested for: MATH 309
Mathematical Reasoning: Writing and Proof
Ted Sundstrom (Grand Valley State University)
2014
Licence: CC BY-NC-SA
This textbook is designed for the first course in a mathematics curriculum that introduces students to the processes of constructing and writing proofs. It focuses on the formal development of mathematics.
Format: PDF
Suggested for: MATH 309
Proofs and Concepts: The Fundamentals of Abstract Mathematics 
Dave Witte Morris and Joy Morris (University of Lethbridge)
2013
Licence: CC BY-NC-SA
This textbook has been created and used at the University of Lethbridge. It provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics.
Format: LaTeX and PDF
Suggested for: MATH 309
A Spiral Workbook for Discrete Mathematics
Harris Kwong
2015
Licence: CC BY-NC-SA
This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation.
Format: PDF
