Discrete Mathematics For Computer Science Pdf

Download pdf discrete mathematical structures with applications to computer science by j p.

Discrete mathematics for computer science pdf. 3 12 4 using discrete mathematics in computer science 217. The goal of this lecture note is to introduce students to ideas and techniques from discrete mathematics that are. Indeed i begin with a discussion of. This book has been de signed to meet the needs of almost all types of introductory discrete mathematics courses.

College algebra is the only explicit prerequisite although a certain degree of mathematical maturity is needed to study discrete mathematics in a meaningful way. This course will roughly cover the following topics and speci c applications in computer science. Contents iii 2 1 2 consistency. Besides reading the book students are strongly encouraged to do all the exer cises.

It is a very good tool for improving reasoning and problem solving capabilities. Find read and cite all the research. The presentation is somewhat unconventional. Discrete mathematics is a branch of mathematics involving discrete elements that uses algebra and arithmetic.

Discrete mathematics uses a range of techniques some of which is sel dom found in its continuous counterpart. Contents xi chapter 4 functions 219 4 1 basic definitions 219 4 1 1 functions as rules 221 4 1 2 functions as sets 222 4 1 3 recursively defined functions 224 4 1 4 graphs of functions 225 4 1 5 equality of functions 226 4 1 6 restrictions of functions 228 4 1 7 partial functions 229 4 1 8 1 1 and onto functions 231 4 1 9 increasing. The text covers the mathematical concepts that students will encounter in many disciplines such as computer science engineering business and the sciences. It is highly.

By students in a wide variety of majors including mathematics computer science and engineer ing. It is increasingly being applied in the practical fields of mathematics and computer science. An important feature of a set is that its elements are distinct or uniquely identi able a set is typically expressed by curly braces fgenclosing its elements. If ais a set and ais an element of it we write a2a.

This tutorial explains the fundamental concepts of sets relations and functions mathematical logic group. Lecture notes on discrete mathematics pdf 111p this note covers the following topics. This book is designed for a one semester course in discrete mathematics for sophomore or junior level students. 10 2 1 4 thelanguageoflogic.

Mathematics is a discipline in which. Pdf these are notes on discrete mathematics for computer scientists. Preliminaries counting and permutations advanced counting polya theory generating functions and its applications. 1 sets functions and relations 2 proof techniques and induction 3 number theory a the math behind the rsa crypto system.