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Student's Solutions Guide to accompany Discrete Mathematics and Its Applications,9780073107790
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Student's Solutions Guide to accompany Discrete Mathematics and Its Applications

by
Edition:
6th
ISBN13:

9780073107790

ISBN10:
0073107794
Format:
Paperback
Pub. Date:
7/27/2006
Publisher(s):
McGraw-Hill Science/Engineering/Math
Includes 2-weeks free access to
step-by-step solutions for this book.
Step-by-Step solutions are actual worked out problems to the questions at the end of each chapter that help you understand your homework and study for your exams. Chegg and eCampus are providing you two weeks absolutely free. 81% of students said using Step-by-Step solutions prepared them for their exams.

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Table of Contents

Preface iii
The Foundations: Logic and Proofs
1(46)
Propositional Logic
1(9)
Propositional Equivalences
10(5)
Predicates and Quantifiers
15(6)
Nested Quantifiers
21(9)
Rules of Inference
30(4)
Introduction to Proofs
34(4)
Proof Methods and Strategy
38(9)
Guide to Review Questions for Chapter 1
42(1)
Supplementary Exercises for Chapter 1
43(2)
Writing Projects for Chapter 1
45(2)
Basic Structures: Sets, Functions, Sequences, and Sums
47(25)
Sets
47(3)
Set Operations
50(5)
Functions
55(8)
Sequences and Summations
63(9)
Guide to Review Questions for Chapter 2
68(1)
Supplementary Exercises for Chapter 2
69(2)
Writing Projects for Chapter 2
71(1)
The Fundamentals: Algorithms, the Integers, and Matrices
72(48)
Algorithms
72(9)
The Growth of Functions
81(5)
Complexity of Algorithms
86(3)
The Integers and Division
89(2)
Primes and Greatest Common Divisors
91(4)
Integers and Algorithms
95(5)
Applications of Number Theory
100(8)
Matrices
108(12)
Guide to Review Questions for Chapter 3
112(1)
Supplementary Exercises for Chapter 3
113(5)
Writing Projects for Chapter 3
118(2)
Induction and Recursion
120(47)
Mathematical Induction
120(12)
Strong Induction and Well-Ordering
132(6)
Recursive Definitions and Structural Induction
138(9)
Recursive Algorithms
147(5)
Program Correctness
152(15)
Guide to Review Questions for Chapter 4
154(2)
Supplementary Exercises for Chapter 4
156(10)
Writing Projects for Chapter 4
166(1)
Counting
167(39)
The Basics of Counting
167(8)
The Pigeonhole Principle
175(5)
Permutations and Combinations
180(4)
Binomial Coefficients
184(5)
Generalized Permutations and Combinations
189(7)
Generating Permutations and Combinations
196(10)
Guide to Review Questions for Chapter 5
198(1)
Supplementary Exercises for Chapter 5
199(6)
Writing Projects for Chapter 5
205(1)
Discrete Probability
206(22)
An Introduction to Discrete Probability
206(3)
Probability Theory
209(6)
Bayes' Theorem
215(2)
Expected Value and Variance
217(11)
Guide to Review Questions for Chapter 6
222(1)
Supplementary Exercises for Chapter 6
223(4)
Writing Projects for Chapter 6
227(1)
Advanced Counting Techniques
228(52)
Recurrence Relations
228(13)
Solving Linear Recurrence Relations
241(10)
Divide-and-Conquer Algorithms and Recurrence Relations
251(4)
Generating Functions
255(12)
Inclusion-Exclusion
267(2)
Applications of Inclusion--Exclusion
269(11)
Guide to Review Questions for Chapter 7
273(1)
Supplementary Exercises for Chapter 7
274(5)
Writing Projects for Chapter 7
279(1)
Relations
280(40)
Relations and Their Properties
280(8)
n-ary Relations and Their Applications
288(2)
Representing Relations
290(3)
Closures of Relations
293(4)
Equivalence Relations
297(8)
Partial Orderings
305(15)
Guide to Review Questions for Chapter 8
313(1)
Supplementary Exercises for Chapter 8
314(5)
Writing Projects for Chapter 8
319(1)
Graphs
320(47)
Graphs and Graph Models
320(3)
Graph Terminology and Special Types of Graphs
323(6)
Representing Graphs and Graph Isomorphism
329(7)
Connectivity
336(6)
Euler and Hamilton Paths
342(5)
Shortest-Path Problems
347(4)
Planar Graphs
351(4)
Graph Coloring
355(12)
Guide to Review Questions for Chapter 9
359(1)
Supplementary Exercises for Chapter 9
360(5)
Writing Projects for Chapter 9
365(2)
Trees
367(32)
Introduction to Trees
367(5)
Applications of Trees
372(9)
Tree Traversal
381(4)
Spanning Trees
385(5)
Minimum Spanning Trees
390(9)
Guide to Review Questions for Chapter 10
393(1)
Supplementary Exercises for Chapter 10
394(3)
Writing Projects for Chapter 10
397(2)
Boolean Algebra
399(21)
Boolean Functions
399(4)
Representing Boolean Functions
403(2)
Logic Gates
405(3)
Minimization of Circuits
408(12)
Guide to Review Questions for Chapter 11
416(1)
Supplementary Exercises for Chapter 11
417(2)
Writing Projects for Chapter 11
419(1)
Modeling Computation
420(32)
Languages and Grammars
420(7)
Finite-State Machines with Output
427(5)
Finite-State Machines with No Output
432(5)
Language Recognition
437(4)
Turing Machines
441(11)
Guide to Review Questions for Chapter 12
445(1)
Supplementary Exercises for Chapter 12
446(4)
Writing Projects for Chapter 12
450(2)
APPENDIXES
452(3)
Appendix 1 Axioms for the Real Numbers and the Positive Integers
452(2)
Appendix 2 Exponential and Logarithmic Functions
454(1)
Appendix 3 Pseudocode
454(1)
A Guide to Proof-Writing
455(11)
References and Advice on Writing Projects
466(8)
Sample Chapter Tests with Solutions
474(28)
Common Mistakes in Discrete Mathematics
502(10)
Solving Problems in Discrete Mathematics
502(1)
List of Common Mistakes
503(9)
Crib Sheets
512


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