Mathematics A Discrete Introduction

ISBN-10: 0534398987
ISBN-13: 9780534398989
Edition: 2nd 2006
List price: $257.95 Buy it from $26.36
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Description: Master the fundamentals of discrete mathematics and proof-writing with MATHEMATICS: A DISCRETE INTRODUCTION! With a wealth of learning aids and a clear presentation, the mathematics text teaches you not only how to write proofs, but how to think  More...

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Book details

List price: $257.95
Edition: 2nd
Copyright year: 2006
Publisher: Brooks/Cole
Publication date: 6/6/2005
Binding: Hardcover
Pages: 592
Size: 7.25" wide x 9.00" long x 0.75" tall
Weight: 2.530
Language: English

Master the fundamentals of discrete mathematics and proof-writing with MATHEMATICS: A DISCRETE INTRODUCTION! With a wealth of learning aids and a clear presentation, the mathematics text teaches you not only how to write proofs, but how to think clearly and present cases logically beyond this course. Though it is presented from a mathematician's perspective, you will learn the importance of discrete mathematics in the fields of computer science, engineering, probability, statistics, operations research, and other areas of applied mathematics. Tools such as Mathspeak, hints, and proof templates prepare you to succeed in this course.

Fundamentals
Joy
Definition
Theorem
Proof
Counterexample
Boolean Algebra
Self Test
Collections
Lists
Factorial
Sets I: Introduction, Subsets
Quantifiers
Sets II: Operations
Combinatorial Proof: Two Examples
Self Test
Counting And Relations
Relations
Equivalence Relations
Partitions
Binomial Coefficients
Counting Multisets
Inclusion-Exclusion
Self Test
More Proof
Contradiction
Smallest Counterexample
Induction
Recurrence Relations
Self Test
Functions
Functions
The Pigeonhole Principle
Composition
Permutations
Symmetry
Assorted Notation
Self Test
Probability
Sample Space
Events
Conditional Probability and Independence
Random Variables
Expectation
Self Test
Number Theory
Dividing
Greatest Common Divisor
Modular Arithmetic
The Chinese Remainder Theorem
Factoring
Self Test
Algebra
Groups
Group Isomorphism
Subgroups
Fermat's Little Theorem
Public-Key Cryptography I: Introduction
Public-Key Cryptography II: Rabin's Method
Public-Key Cryptography III: RSA
Self Test
Graphs
Graph Theory Fundamentals
Subgraphs
Connection
Trees
Eulerian Graphs
Coloring
Planar Graphs
Self Test
Partially Ordered Sets
Partially Ordered Sets Fundamentals
Max and Min
Linear Orders
Linear Extensions
Dimension
Lattices
Self Test
Appendices
Lots of Hints and Comments; Some Answers
Solutions to Self Tests
Glossary
Fundamentals
Index

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