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 explains the following topics: introduction to preliminaries, Counting, Sequences, Symbolic logic
and proofs, Graph theory, Additional topics.
This note explains the following topics: number systems,
Propositions and logical operations, Sets, Relations and diagraphs, Recurrence
relations, Classification of languages.
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, 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.
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.
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: 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
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:
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
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.