Mathematics A Discrete Introduction 3rd Edition by Edward R Scheinerman – Ebook PDF Instant Download/Delivery: 0840049420, 9780840049421
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Product details:
ISBN 10: 0840049420
ISBN 13: 9780840049421
Author: Edward R 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:
Chapter 1: Fundamentals
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Joy
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Speaking (and Writing) of Mathematics
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Definition
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Theorem
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Proof
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Counterexample
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Boolean Algebra
Chapter 1 Self Test
Chapter 2: Collections
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Lists
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Factorial
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Sets I: Introduction, Subsets
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Quantifiers
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Sets II: Operations
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Combinatorial Proof: Two Examples
Chapter 2 Self Test
Chapter 3: Counting and Relations
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Relations
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Equivalence Relations
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Partitions
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Binomial Coefficients
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Counting Multisets
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Inclusion-Exclusion
Chapter 3 Self Test
Chapter 4: More Proof
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Contradiction
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Smallest Counterexample
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Induction
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Recurrence Relations
Chapter 4 Self Test
Chapter 5: Functions
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Functions
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The Pigeonhole Principle
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Composition
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Permutations
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Symmetry
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Assorted Notation
Chapter 5 Self Test
Chapter 6: Probability
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Sample Space
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Events
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Conditional Probability and Independence
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Random Variables
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Expectation
Chapter 6 Self Test
Chapter 7: Number Theory
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Dividing
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Greatest Common Divisor
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Modular Arithmetic
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The Chinese Remainder Theorem
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Factoring
Chapter 7 Self Test
Chapter 8: Algebra
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Groups
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Group Isomorphism
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Subgroups
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Fermat’s Little Theorem
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Public Key Cryptography I: Introduction
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Public Key Cryptography II: Rabin’s Method
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Public Key Cryptography III: RSA
Chapter 8 Self Test
Chapter 9: Graphs
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Fundamentals of Graph Theory
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Subgraphs
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Connection
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Trees
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Eulerian Graphs
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Coloring
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Planar Graphs
Chapter 9 Self Test
Chapter 10: Partially Ordered Sets
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Fundamentals of Partially Ordered Sets
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Max and Min
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Linear Orders
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Linear Extensions
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Dimension
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Lattices
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