Module DISCRETE MATHEMATICS 1

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

Lecture Notes On Discrete Mathematical Structures iare

The contents include: Mathematical Logic, Relations, Algebraic structures, Recurrence Relation, Graph Theory.

Author(s): Mrs. B Pravallika, Assistant Professor,Information Technology, Institute of Aeronautical Engineering

95 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

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

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

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

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

Introduction to Complexity Classes

This book explains the following topics: Computability, Initiation to Complexity Theory, The Turing Model: Basic Results, Introduction to the Class NP, Reducibilities, Complete Languages, Separation Results, Stochastic Choices, Quantum Complexity, Theory of Real Computation and Kolmogorov Complexity.

Author(s): Chee K. Yap

NA Pages