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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 
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
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 Mathematics Course Notes by Drew Armstrong
This note explains the following topics: Induction and Recursion, Steiner’s Problem, Boolean Algebra, Set Theory, Arithmetic, Principles of Counting, Graph Theory.
Author(s): Drew Armstrong
151 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
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
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
Introduction to Finite Mathematics
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.
Author(s): John G. Kemeny, J. Laurie Snell, and Gerald L. Thompson
NA Pages
This note covers the following topics: Factorials , Binomial Theorem, Sequence and Series, Mathematical Induction.
Author(s): University of Southern Queensland
42 Pages
Fundamental Problems in Algorithmic Algebra
This book explains the following topics: Arithmetic, The Greatest Common Divisor, Subresultants, Modular Techniques, Fundamental Theorem of Algebra, Roots of Polynomials, Sturm Theory, Gaussian Lattice Reduction, Lattice Reduction and Applications, Linear Systems, Elimination Theory, Groebner Bases, Bounds in Polynomial Ideal Theory and Continued Fractions.
Author(s): Chee Yap
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