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Free Discrete Mathematics Books

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This section contains free e-books and guides on Discrete Mathematics, some of the resources in this section can be viewed online and some of them can be downloaded.

Discrete Mathematics Books
Online Books
Lecture Notes in Discrete Mathematics

PDF | 224 Pages | English
This note covers the following topics: fundamentals of mathematical logic , fundamentals of mathematical proofs , fundamentals of set theory , relations and functions , introduction to the Analysis of Algorithms, Fundamentals of Counting and Probability Theory and Elements of Graph Theory.

 
Lecture Notes on Discrete Mathematics (PDF 111P)

PDF | 111 Pages | English
This note covers the following topics: Preliminaries, Counting and Permutations, Advanced Counting, Polya Theory, Generating Functions and Its Applications.

 
Discrete Mathematics for Computer Science

Online | NA Pages | English
The goal of this lecture note is to introduce students to ideas and techniques from discrete mathematics that are widely used in Computer Science. This note covers the following topics: Propositional logic, Induction, Strong induction, Structural induction, Proofs about algorithms, Algebraic algorithms, Number theory, RSA, Basics of counting, basic probability,Conditional probability, Linearity of expectation, variance.

 
Discrete Mathematics (PDF 139P)

PDF | 139 Pages | English
This note covers the following topics: induction, counting subsets, Pascal's triangle, Fibonacci numbers, combinatorial probability, integers divisors and primes, Graphs, Trees, Finding the optimum, Matchings in graphs, Graph coloring.

 
Discrete Math Lecture Notes

Online | NA Pages | English
This note covers the following topics: Tautologies, Logical Equivalences, Predicates and Quantifiers, Sets, Functions, Integers, Number Theoretic Algorithms, RSA Cryptography, Induction Proofs, Recursion, Counting Fundamentals, r-permutations, Stars and Bars, Recurrence Relation, Graph theory basics and definitions, Connectedness, Euler and Hamilton Paths.

 
Discrete Math for Computer Science Students (PDF 344P)

PDF | 344 Pages | English
This note covers the following topics: Counting, Cryptography and Number Theory, Reflections on Logic and Proof, Induction, Recursion and Recurrence, Probability, Graphs.

 
Discrete Mathematics with Algorithms

Online | NA Pages | English
This note covers the following topics: Sets and Algorithms, Arithmetic of Sets, Number Theory, Graph Theory, Searching and Sorting, Recurrence Relations.

 
A Short Course in Discrete Mathematics

Online | NA Pages | English
This book consists of six units of study: Boolean Functions and Computer Arithmetic, Logic, Number Theory and Cryptography, Sets and Functions, Equivalence and Order, Induction, Sequences and Series. Each of this is divided into two sections. Each section contains a representative selection of problems. These vary from basic to more difficult, including proofs for study by mathematics students or honors students.

 
Discrete maths lecture notes

PDF | 104 Pages | English
This note covers the following topics: Pseudocode, Proof Methods, Logic, Sets, and Boolean Algebra, Relations and Functions, Number Theory, Enumeration, Sums and Recursions, Graph Theory.

 
Discrete Maths II

PDF | 74 Pages | English
This note explains the following topics: Relations, Maps, Order relations, Recursion and Induction, Bounding some recurrences, Graphs, Lattices and Boolean Algebras.

 
Discrete Mathematics (with Kati Vesztergombi), 1999(PS)
Discrete Mathematics pdf

PDF | 139 Pages | English
This note covers the following topics: Induction, Counting subsets, Pascalís Triangle, Fibonacci numbers, Combinatorial probability, Integers, divisors, and primes, Graphs, Trees, Finding the optimum, Matchings in graphs, Graph coloring.

 
Notes on Discrete Mathematics Miguel A. Lerma

PDF | 154 Pages | English
This note covers the following topics: Logic, Proofs, Sets, Functions, Relations, Algorithms, Integers, Induction, Recurences, Counting, Probability, Graph Theory, Trees, Boolean Algebra, Automata, Grammars and Languages.

 
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Discrete Mathematics Chen W.W.L.

Online | NA Pages | English
This note covers the following topics: Logic And Sets, Relations And Functions, The Natural Numbers, Division And Factorization, Computational Aspects: Finite State Machines, Finite State Automata, Turing Machines, Groups And Modulo Arithmetic, Introduction To Coding Theory, Group Codes, Public Key Cryptography, Principle Of Inclusion-exclusion, Number Of Solutions Of A Linear Equation, Recurrence Relations, Weighted Graphs.

 
Introduction to Finite Mathematics

Online | NA Pages | English
This note covers the following topics: Compound Statements, Sets and subsets, Partitions and counting, Probability theory, Vectors and matrices, Linear programming and the theory of games, Applications to behavioral science problems.

 
Discrete Mathematics Study Guide UVIC

Online | NA Pages | English
This note covers the following topics: Logic and Foundations, Proposition logic and quantifiers, Set Theory, Mathematical Induction, Recursive Definitions, Properties of Integers, Cardinality of Sets, Pigeonhole Principle, Combinatorial Arguments, Recurrence Relations.

 
Computational Discrete Mathematics

Online | NA Pages | English
This note covers the following topics: Computation, Finite State Machines, Logic, SetsSet Theory, Three Theorems, Ordinals, Relations and Functions, Induction, Combinatorics, Algebra, Cellular Automata and FSRs.

 
Module DISCRETE MATHEMATICS 1
Fundamental Problems in Algorithmic Algebra
Introduction to Complexity Classes
Exact Geometric Computation
Basics of Algebra and Analysis for Computer Science
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