Mathematics for Algorithm and Systems Analysis

By: EDWARD A. BENDER

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Paperback | 24 November 2011

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256 Pages

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Discrete mathematics is fundamental to computer science, and interesting, challenging problems in discrete mathematics arise in programming languages, computer architecture, networking, distributed systems, database systems, artificial intelligence, theoretical computer science, and elsewhere. This up-to-date text prepares undergraduates with four units of study: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory. Each unit is divided into four sections, and each section contains a selection of problems that vary in difficulty. Solutions to these problems are given at the end of the text.
Multiple-choice questions for review appear at the end of each unit. The text offers students the mathematical language and sophistication to recognize and articulate the ideas behind these questions and to answer questions similar in concept and difficulty. Those who master the necessary ideas and mathematical language to understand these review questions gain the ability to formulate, in the neutral language of mathematics, the problems that arise in various applications of computer science--a skill that enables them to discuss problems in discrete mathematics with other computer scientists and with mathematicians.

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Non-Fiction Mathematics Algebra Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory Computing & I.T.Computer Science Discrete Mathematics

Unit CL: Basic Counting and Listing
Lists with Repetitions	p. 1
Lists Without Repetition	p. 9
Sets	p. 13
Probability and Basic Counting	p. 28
Multiple Choice Questions for Review	p. 41
Unit Fn: Functions
Some Basic Terminology	p. 45
Permutations	p. 51
Other Combinatorial Aspects of Functions	p. 58
Functions and Probability	p. 65
Multiple Choice Questions for Review	p. 85
Unit DT: Decision Trees and Recursion
Basic Concepts of Decision Trees	p. 89
Recursive Algorithms	p. 103
Decision Trees and Conditional Probability	p. 115
Inductive Proofs and Recursive Equations	p. 128
Multiple Choice Questions for Review	p. 140
Unit GT: Basic Concepts in Graph Theory
What is a Graph?	p. 145
Digraphs, Paths, and Subgraphs	p. 157
Trees	p. 168
Rates of Growth and Analysis of Algorithms	p. 181
Multiple Choice Questions for Review	p. 195
Solutions to Exercises	p. 199
Notation Index	p. 239
Subject Index	p. 241
Table of Contents provided by Ingram. All Rights Reserved.

Mathematics for Algorithm and Systems Analysis

At a Glance

Paperback

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How to return your order

Defective items

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