Mathematics: A Discrete Introduction3rd EditionEdward A. Scheinerman Publisher: Cengage LearningISBN: 9780840049421
Mathematics: A Discrete Introduction
Solutions for Mathematics: A Discrete Introduction
Problem 5.1E:
Prove that the sum of two odd integers is even.Problem 5.3E:
Prove that if n is an odd integer, then n is also odd.Problem 5.4E:
Prove that the product of two even integers is even.Problem 5.6E:
Prove that the product of two odd integers is odd.Problem 5.7E:
Prove that the square of an odd integer is odd.Problem 5.8E:
Prove that the cube of an odd integer is odd.Problem 5.14E:
Let x be an integers. Prove that x is odd if and only if there is an integer b such that x=2b1.Problem 5.15E:
Let x be an integer. Prove that 0x if and only if x=0.Problem 5.16E:
Let a and b be integers. Prove that ab if and only if ab1.Problem 5.17E:
Let a be a number with a1. Prove that a number x is strictly between 1 and a if and only if a/x is...Problem 5.20E:
For real numbers a and b, prove that if 0ab, then a2b2.Problem 5.21E:
Prove that the difference between distinct, nonconsecutive perfect squares is composite.Problem 5.22E:
Prove that an integer is odd if and only if it is the sum of two consecutive integers.Browse All Chapters of This Textbook
Chapter 1 - FundamentalsChapter 1.1 - JoyChapter 1.2 - Speaking (and Writing) Of MathematicsChapter 1.3 - DefinitionChapter 1.4 - TheoremChapter 1.5 - ProofChapter 1.6 - CounterexampleChapter 1.7 - Boolean AlgebraChapter 2 - CollectionsChapter 2.8 - Lists
Chapter 2.9 - FactorialChapter 2.10 - Sets I: Introduction, SubsetsChapter 2.11 - QuantifiersChapter 2.12 - Sets Ii: OperationsChapter 2.13 - Combinatorial Proof: Two ExamplesChapter 3 - Counting And RelationsChapter 3.14 - RelationsChapter 3.15 - Equivalence RelationsChapter 3.16 - PartitionsChapter 3.17 - Binomial CoefficientsChapter 3.18 - Counting MultisetsChapter 3.19 - Inclusion-exclusionChapter 4.21 - Smallest CounterexampleChapter 9.49 - Connection
Book Details
MATHEMATICS: A DISCRETE INTRODUCTION teaches students the fundamental concepts in discrete mathematics and proof-writing skills. With its clear presentation, the text shows students how to present cases logically beyond this course.
Sample Solutions for this Textbook
We offer sample solutions for Mathematics: A Discrete Introduction homework problems. See examples below:
Given information: Thegivenstatement is, “Every positive integer is either prime or composite”. An...The call sign for the ratio station in the United States is a list of three or four letters with...Given: The given fact is R⊆S . For the two relation R and S on set A and R⊆S , then all the elements...
More Editions of This Book
Corresponding editions of this textbook are also available below:
EBK MATHEMATICS: A DISCRETE INTRODUCTIO
3rd Edition
ISBN: 9780100452213
EBK MATHEMATICS: A DISCRETE INTRODUCTIO
3rd Edition
ISBN: 9781285402062
EBK MATHEMATICS: A DISCRETE INTRODUCTIO
3rd Edition
ISBN: 8220100452215
Mathematics A Discrete Introduction
2nd Edition
ISBN: 9780534398989
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