Mathematics A Discrete Introduction

Name: Mathematics A Discrete Introduction
Price: 30.43 USD
Availability: InStock
ISBN: 9780534398989

ISBN-10: 0534398987

ISBN-13: 9780534398989

Edition: 2nd 2006

Authors: Edward A. Scheinerman

List price: $257.95

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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.

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: 2.266
Language: English




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