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
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
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.
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.
This note
explains the following topics: Induction and Recursion, Steiner’s Problem,
Boolean Algebra, Set Theory, Arithmetic, Principles of Counting, Graph Theory.
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.
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.
This
note covers the following topics: Sets, Functions and Relations, Proofs
and Induction, Number Theory, Counting, Probability, Logic, Graphs, Finite
Automata.
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.
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
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.
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.
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
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.