Mathematics A Discrete Introduction 3rd editon by Edward Scheinerman – Ebook PDF Instant Download/Delivery:1285208757, 9781285208756
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ISBN 10: 1285208757
ISBN 13: 9781285208756
Author: Edward A. Scheinerman
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. All of the material is directly applicable to computer science and engineering, but it is presented from a mathematician’s perspective. Students will learn that discrete mathematics is very useful, especially those whose interests lie in computer science and engineering, as well as those who plan to study probability, statistics, operations research, and other areas of applied mathematics.
Mathematics A Discrete Introduction 3rd Table of contents:
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
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