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Author:   Kevin Ferland
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Edition:   2nd edition
Weight:   1.741kg
ISBN:  

9781032476896

ISBN 10:   1032476893
Pages:   944
Publication Date:   21 January 2023
Audience:   College/higher education ,  General/trade ,  Tertiary & Higher Education ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I Proofs Logic and Sets Statement Forms and Logical Equivalences Set Notation Quantifiers Set Operations and Identities Valid Arguments Basic Proof Writing Direct Demonstration General Demonstration (Part 1) General Demonstration (Part 2) Indirect Arguments Splitting into Cases Elementary Number Theory Divisors Well-Ordering, Division, and Codes Euclid's Algorithm and Lemma Rational and Irrational Numbers Modular Arithmetic and Encryption Indexed by Integers Sequences, Indexing, and Recursion Sigma Notation Mathematical Induction, An Introduction Induction and Summations Strong Induction The Binomial Theorem Relations General Relations Special Relations on Sets Basics of Functions Special Functions General Set Constructions Cardinality II Combinatorics Basic Counting The Multiplication Principle Permutations and Combinations Addition and Subtraction Probability Applications of Combinations Correcting for Overcounting More Counting Inclusion-Exclusion Multinomial Coecients Generating Functions Counting Orbits Combinatorial Arguments Basic Graph Theory Motivation and Introduction Special Graphs Matrices Isomorphisms Invariants Directed Graphs and Markov Chains Graph Properties Connectivity Euler Circuits Hamiltonian Cycles Planar Graphs Chromatic Number Trees and Algorithms Trees Search Trees Weighted Trees Analysis of Algorithms (Part 1) Analysis of Algorithms (Part 2) A Assumed Properties of Z and R B Pseudocode C Answers to Selected Exercises

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