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TEST BANK FOR Discrete Mathematics And Its Applications 7th Edition By Kenneth H. Rosen And Jerrold W. Grossman

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Exam (elaborations) TEST BANK FOR Discrete Mathematics and Its Applications 7th Edition By Kenneth H. Rosen and Jerrold W. Grossman (Student’s Solutions Guide) Student's Solutions Guide to accompany Discrete Mathematics and Its Applications Seventh Edition Kenneth H. Rosen Monmouth University (an...

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  • January 30, 2022
  • 573
  • 2021/2022
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  • discrete mathematics
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  • Harvard University
  • TEST BANK FOR Discrete Mathematics And Its Applications 7th Edition By Kenneth H. Rosen And Jerrold W. Grossman
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By: ashish_sodhi • 1 year ago

This is not a test bank. Looks like fake cover on the student solution manual. Very disappointed.

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, Student's Solutions Guide
to accompany


Discrete Mathematics
and Its Applications
Seventh Edition

Kenneth H. Rosen
Monmouth University
(and formerly AT&T Laboratories)

Prepared by
Jerrold W. Grossman
Oakland University




~~onnect
Learn
• Succeed"

, Contents
Preface iii

CHAPTER 1 The Foundations: Logic and Proofs 1
1.1 Propositional Logic 1
1.2 Applications of Propositional Logic 8
1.3 Propositional Equivalences 11
1.4 Predicates and Quantifiers 17
1.5 Nested Quantifiers 23
1.6 Rules of Inference 32
1. 7 Introduction to Proofs 36
1.8 Proof Methods and Strategy 40
Guide to Review Questions for Chapter 1 44
Supplementary Exercises for Chapter 1 45
Writing Projects for Chapter 1 48

CHAPTER 2 Basic Structures: Sets, Functions,
Sequences, Sums, and Matrices 50
2.1 Sets 50
2.2 Set Operations 53
2 .3 Functions 59
2.4 Sequences and Summations 68
2.5 Cardinality of Sets 75
2.6 Matrices 79
Guide to Review Questions for Chapter 2 83
Supplementary Exercises for Chapter 2 84
Writing Projects for Chapter 2 87

CHAPTER 3 Algorithms 88
3.1 Algorithms 88
3.2 The Growth of Functions 97
3.3 Complexity of Algorithms 103
Guide to Review Questions for Chapter 3 107
Supplementary Exercises for Chapter 3 108
Writing Projects for Chapter 3 112

CHAPTER 4 Number Theory and Cryptography 113
4.1 Divisibility and Modular Arithmetic 113
4.2 Integer Representations and Algorithms 116
4.3 Primes and Greatest Common Divisors 122
4.4 Solving Congruences 130
4.5 Applications of Congruences 137
4.6 Cryptography 140
Guide to Review Questions for Chapter 4 142
Supplementary Exercises for Chapter 4 143
Writing Projects for Chapter 4 147

v

, CHAPTER 5 Induction and Recursion 149
5.1 Mathematical Induction 149
5.2 Strong Induction and Well-Ordering 161
5.3 Recursive Definitions and Structural Induction 167
5.4 Recursive Algorithms 176
5.5 Program Correctness 182
Guide to Review Questions for Chapter 5 183
Supplementary Exercises for Chapter 5 185
Writing Projects for Chapter 5 195

CHAPTER 6 Counting 197
6.1 The Basics of Counting 197
6.2 The Pigeonhole Principle 206
6.3 Permutations and Combinations 211
6.4 Binomial Coefficients and Identities 216
6.5 Generalized Permutations and Combinations 220
6.6 Generating Permutations and Combinations 227
Guide to Review Questions for Chapter 6 230
Supplementary Exercises for Chapter 6 231
Writing Projects for Chapter 6 237

CHAPTER 7 Discrete Probability 239
7.1 An Introduction to Discrete Probability 239
7.2 Probability Theory 242
7.3 Bayes' Theorem 247
7.4 Expected Value and Variance 250
Guide to Review Questions for Chapter 7 255
Supplementary Exercises for Chapter 7 256
Writing Projects for Chapter 7 261

CHAPTER 8 Advanced Counting Techniques 262
8.1 Applications of Recurrence Relations 262
8.2 Solving Linear Recurrence Relations 272
8.3 Divide-and-Conquer Algorithms and Recurrence Relations 282
8.4 Generating Functions 286
8.5 Inclusion-Exclusion 298
8.6 Applications of Inclusion-Exclusion 300
Guide to Review Questions for Chapter 8 304
Supplementary Exercises for Chapter 8 305
Writing Projects for Chapter 8 310

CHAPTER 9 Relations 312
9.1 Relations and Their Properties 312
9.2 n-ary Relations and Their Applications 320
9.3 Representing Relations 322
9.4 Closures of Relations 325

Vl

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