Mathematics Books Discrete Mathematics Books

Applied Discrete Mathematics William Shoaff

Applied Discrete Mathematics William Shoaff

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.

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Applied Discrete Mathematics William Shoaff

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.

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Discrete Mathematics Lecture Notes Incomplete Preliminary Version

Discrete Mathematics Lecture Notes Incomplete Preliminary Version

This note covers the following topics: Logic, Asymptotic Notation, Convex Functions and Jensenís Inequality, Basic Number Theory, Counting, Binomial coefficients, Graphs and Digraphs, Finite Probability Space, Finite Markov Chains.

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A Collection of Short Lectures on Discrete Mathematics

A Collection of Short Lectures on Discrete Mathematics

This note covers the following topics: Boolean Logic, Sets, Predicate Logic, Sequences, Recursion, Mathematical Induction, Relations, Functions, Naming Systems, Number Systems, Proofs.

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Discrete     Mathematics for Computer Science

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.

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Discrete Mathematics (PDF 139P)

Discrete Mathematics (PDF 139P)

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Discrete Mathematics with Algorithms

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A Short Course in Discrete Mathematics

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.

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Discrete Maths II

Discrete Maths II

This note explains the following topics: Relations, Maps, Order relations, Recursion and Induction, Bounding some recurrences, Graphs, Lattices and Boolean Algebras.

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Discrete Mathematics (with Kati Vesztergombi), 1999(PS)

Discrete Mathematics (with Kati Vesztergombi), 1999(PS)

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Notes on Discrete     Mathematics Miguel A. Lerma

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.

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Computational               Discrete Mathematics

Computational Discrete Mathematics

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Fundamental Problems in Algorithmic Algebra

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.

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Introduction to     Complexity Classes

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.

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Exact Geometric Computation

Exact Geometric Computation

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