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Discrete Mathematics by Oscar Levin
This note explains the following topics: introduction to preliminaries, Counting, Sequences, Symbolic logic and proofs, Graph theory, Additional topics.
Author(s): University of Northern Colorado
414 Pages
Digital Notes On Discrete Mathematics
This note explains the following topics related to Discrete Mathematics : Mathematical Logic, Relations, Algebraic structures, Elementary Combinatorics, Recurrence Relation, Graph Theory.
Author(s): Malla Reddy College Of Engineering and Technology
88 Pages
Discrete Mathematics by Andrew D. Ker
This PDF covers the following topics related to Discrete Mathematics : Introduction, Sets, Functions, Counting, Relations, Sequences, Modular Arithmetic, Asymptotic Notation, Orders.
Author(s): Andrew D. Ker, Oxford University Computing Laboratory
125 Pages
Elements of Discrete Mathematics by Richard Hammack
This book covers the following topics: Discrete Systems,Sets, Logic, Counting, Discrete Probability, Algorithms, Quantified Statements, Direct Proof, Proofs Involving Sets, Proving Non-Conditional Statements, Cardinality of Sets, Complexity of Algorithms.
Author(s): Richard Hammack
479 Pages
Discrete Structures Lecture Notes by Vladlen Koltun
This lecture note describes the following topics: Sets and Notation, Induction, Proof Techniques, Divisibility, Prime Numbers, Modular Arithmetic, Relations and Functions, Mathematical Logic, Counting, Binomial Coefficients, The Inclusion-Exclusion Principle, The Pigeonhole Principle, Asymptotic Notation, Graphs, Trees, Planar Graphs.
Author(s): Vladlen Koltun
89 Pages
Discrete Mathematics Lecture Notes Incomplete Preliminary Version
This note covers the following topics: Logic, Asymptotic Notation, Convex Functions and Jensen’s Inequality, Basic Number Theory, Counting, Binomial coefficients, Graphs and Digraphs, Finite Probability Space, Finite Markov Chains.
Author(s): Laszlo Babai
96 Pages
A Course in Discrete Structures
This note covers the following topics: Sets, Functions and Relations, Proofs and Induction, Number Theory, Counting, Probability, Logic, Graphs, Finite Automata.
Author(s): Rafael Pass and Wei-Lung Dustin Tseng
153 Pages
Notes on Discrete Mathematics by James Aspnes
This is a course note on discrete mathematics as used in Computer Science. Topics covered includes: Mathematical logic, Set theory, The real numbers, Induction and recursion, Summation notation, Asymptotic notation, Number theory, Relations, Graphs, Counting, Linear algebra, Finite fields.
Author(s): James Aspnes
390 Pages
Lecture Notes in Discrete Mathematics
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.
Author(s): Marcel B. Finan, Arkansas Tech University
224 Pages
Lecture Notes on Discrete Mathematics (PDF 111P)
This note covers the following topics: Preliminaries, Counting and Permutations, Advanced Counting, Polya Theory, Generating Functions and Its Applications.
Author(s): A. K. Lal
111 Pages
Discrete Mathematics for Computer Science
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.
Author(s): Mike Clancy, David Wagner
NA Pages
Discrete Mathematics (PDF 139P)
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.
Author(s): L. Lovasz and K. Vesztergombi
139 Pages
A Short Course in Discrete Mathematics
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.
Author(s): Edward A. Bender and S. Gill Williamson
NA Pages
This note explains the following topics: Relations, Maps, Order relations, Recursion and Induction, Bounding some recurrences, Graphs, Lattices and Boolean Algebras.
Author(s): Hans Cuypers
74 Pages
Discrete Mathematics Study Guide UVIC
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.
Author(s): Dr. Gary MacGillivray
NA Pages
This note covers the following topics: Factorials , Binomial Theorem, Sequence and Series, Mathematical Induction.
Author(s): University of Southern Queensland
42 Pages
