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Lecture Notes on Discrete Mathematics
This note explains the following topics: number systems, Propositions and logical operations, Sets, Relations and diagraphs, Recurrence relations, Classification of languages.
Author(s): NA
177 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
Discrete Mathematics by William Chen
This page covers the following topics related to Discrete Mathematics : Logic and Sets, Relations and Functions, the Natural Numbers, Division and Factorization , Languages, 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, Generating Functions, Number of Solutions of a Linear Equation, Recurrence Relations, Graphs, Weighted Graphs, Search Algorithms, Digraphs.
Author(s): William Chen
NA Pages
Discrete Structures by Allen Gehret
This PDF covers the following topics related to Discrete Mathematics : Introduction, Propositional Logic, Sets, and Induction, Relations, Functions, Counting, Sequences, Graphs and trees, A glimpse of infinity.
Author(s): Allen Gehret, UCLA
119 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 Mathematics II Set Theory for Computer Science
The aim of this note is to introduce fundamental concepts and techniques in set theory in preparation for its many applications in computer science. Topics covered includes: Mathematical argument, Sets and Logic, Relations and functions, Constructions on sets, Well-founded induction.
Author(s): Glynn Winskel
112 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
Applied Discrete Mathematics William Shoaff
This note explains the following topics: positional and modular number systems, relations and their graphs, discrete functions, set theory, propositional and predicate logic, sequences, summations, mathematical induction and proofs by contradiction.
Author(s): William D Shoaff
NA 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
Lectures In Discrete Mathematics
This note explains the following topics: Arithmetic, Logic and Numbers, Boolean Functions and Computer Arithmetic, Number Theory and Cryptography, Sets, Equivalence and Order, Functions, Induction, Sequences and Series, Lists, Decisions and Graphs, Basic Counting and Listing, Decision Trees, Basic Concepts in Graph Theory.
Author(s): Edward A. Bender and S. Gill Williamson
NA 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
Notes on Discrete Mathematics Miguel A. Lerma
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.
Author(s): Miguel A. Lerma
154 Pages
This note covers the following topics: Factorials , Binomial Theorem, Sequence and Series, Mathematical Induction.
Author(s): University of Southern Queensland
42 Pages
