Mathematics: A Discrete Introduction 3rd Edition by Edward Scheinerman – Ebook PDF Instant Download/Delivery: 1285402065, 978-1285402062
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ISBN 10: 1285402065
ISBN 13: 978-1285402062
Author: Edward Scheinerman
Mathematics: A Discrete Introduction 3rd Edition: Master the fundamentals of discrete mathematics and proof-writing with MATHEMATICS: A DISCRETE INTRODUCTION! With a clear presentation, the mathematics text teaches you not only how to write proofs, but how to think clearly and present cases logically beyond this course. Though it is presented from a mathematician’s perspective, you will learn the importance of discrete mathematics in the fields of computer science, engineering, probability, statistics, operations research, and other areas of applied mathematics. Tools such hints and proof templates prepare you to succeed in this course.
Mathematics: A Discrete Introduction 3rd Edition Table of contents:
Ch 1: Fundamentals
- Joy
- Speaking (and Writing) of Mathematics
- Definition
- Theorem
- Proof
- Counterexample
- Boolean Algebra
- Chapter 1 Self Test
Ch 2: Collections
- Lists
- Factorial
- Sets I: Introduction, Subsets
- Quantifiers
- Sets II: Operations
- Combinatorial Proof: Two Examples
- Chapter 2 Self Test
Ch 3: Counting and Relations
- Relations
- Equivalence Relations
- Partitions
- Binomial Coefficients
- Counting Multisets
- Inclusion-Exclusion
- Chapter 3 Self Test
Ch 4: More Proof
- Contradiction
- Smallest Counterexample
- Induction
- Recurrence Relations
- Chapter 4 Self Test
Ch 5: Functions
- Functions
- The Pigeonhole Principle
- Composition
- Permutations
- Symmetry
- Assorted Notation
- Chapter 5 Self Test
Ch 6: Probability
- Sample Space
- Events
- Conditional Probability and Independence
- Random Variables
- Expectation
- Chapter 6 Self Test
Ch 7: Number Theory
- Dividing
- Greatest Common Divisor
- Modular Arithmetic
- The Chinese Remainder Theorem
- Factoring
- Chapter 7 Self Test
Ch 8: Algebra
- Groups
- Group Isomorphism
- Subgroups
- Fermat’s Little Theorem
- Public Key Cryptography I: Introduction
- Public Key Cryptography II: Rabin’s Method
- Public Key Cryptography III: RSA
- Chapter 8 Self Test
Ch 9: Graphs
- Fundamentals of Graph Theory
- Subgraphs
- Connection
- Trees
- Eulerian Graphs
- Coloring
- Planar Graphs
- Chapter 9 Self Test
Ch 10: Partially Ordered Sets
- Fundamentals of Partially Ordered Sets
- Max and Min
- Linear Orders
- Linear Extensions
- Dimension
- Lattices
- Chapter 10 Self Test
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