eBook for Mathematics: A Discrete Introduction, 3rd Edition By Edward R. Scheinerman
Get all 10 Chapters eBook PDF.
Table of Contents
Acknowledgments
Ch 1: Fundamentals
1 Joy
2 Speaking (and Writing) of Ma
...
eBook for Mathematics: A Discrete Introduction, 3rd Edition By Edward R. Scheinerman
Get all 10 Chapters eBook PDF.
Table of Contents
Acknowledgments
Ch 1: Fundamentals
1 Joy
2 Speaking (and Writing) of Mathematics
3 Definition
4 Theorem
5 Proof
6 Counterexample
7 Boolean Algebra
Chapter 1 Self Test
Ch 2: Collections
8 Lists
9 Factorial
10 Sets I: Introduction, Subsets
11 Quantifiers
12 Sets II: Operations
13 Combinatorial Proof: Two Examples
Chapter 2 Self Test
Ch 3: Counting and Relations
14 Relations
15 Equivalence Relations
16 Partitions
17 Binomial Coefficients
18 Counting Multisets
19 Inclusion-Exclusion
Chapter 3 Self Test
Ch 4: More Proof
20 Contradiction
21 Smallest Counterexample
22 Induction
23 Recurrence Relations
Chapter 4 Self Test
Ch 5: Functions
24 Functions
25 The Pigeonhole Principle
26 Composition
27 Permutations
28 Symmetry
29 Assorted Notation
Chapter 5 Self Test
Ch 6: Probability
30 Sample Space
31 Events
32 Conditional Probability and Independence
33 Random Variables
34 Expectation
Chapter 6 Self Test
Ch 7: Number Theory
35 Dividing
36 Greatest Common Divisor
37 Modular Arithmetic
38 The Chinese Remainder Theorem
39 Factoring
Chapter 7 Self Test
Ch 8: Algebra
40 Groups
41 Group Isomorphism
42 Subgroups
43 Fermat's Little Theorem
44 Public Key Cryptography I: Introduction
45 Public Key Cryptography II: Rabin's Method
46 Public Key Cryptography III: RSA
Chapter 8 Self Test
Ch 9: Graphs
47 Fundamentals of Graph Theory
48 Subgraphs
49 Connection
50 Trees
51 Eulerian Graphs
52 Coloring
53 Planar Graphs
Chapter 9 Self Test
Ch 10: Partially Ordered Sets
54 Fundamentals of Partially Ordered Sets
55 Max and Min
56 Linear Orders
57 Linear Extensions
58 Dimension
59 Lattices
Chapter 10 Self Test
Appendices
Appendix A: Lots of Hints and Comments; Some Answers
Appendix B: Solutions to Self Tests
Appendix C: Glossary
Appendix D: Fundamentals
Index
[Show More]