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|a 510
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|a Johnsonbaugh, Richard.
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|a Discrete Mathematics, Global Edition.
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|a 8th ed.
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|a Harlow, United Kingdom :
|b Pearson Education Limited,
|c 2018.
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|c ©2019.
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|a 1 online resource (772 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
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|a online resource
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|a Front Cover -- List of Symbols -- Title Page -- Copyright Page -- Contents -- Preface -- 1 Sets and Logic -- 1.1 Sets -- 1.2 Propositions -- 1.3 Conditional Propositions and Logical Equivalence -- 1.4 Arguments and Rules of Inference -- 1.5 Quantifiers -- 1.6 Nested Quantifiers -- Problem-Solving Corner: Quantifiers -- Chapter 1 Notes -- Chapter 1 Review -- Chapter 1 Self-Test -- Chapter 1 Computer Exercises -- 2 Proofs -- 2.1 Mathematical Systems, Direct Proofs, and Counterexamples -- 2.2 More Methods of Proof -- Problem-Solving Corner Proving Some Properties of Real Numbers -- 2.3 Resolution Proofs -- 2.4 Mathematical Induction -- Problem-Solving Corner Mathematical Induction -- 2.5 Strong Form of Induction and the Well-Ordering Property -- Chapter 2 Notes -- Chapter 2 Review -- Chapter 2 Self-Test -- Chapter 2 Computer Exercises -- 3 Functions, Sequences, and Relations -- 3.1 Functions -- Problem-Solving Corner: Functions -- 3.2 Sequences and Strings -- 3.3 Relations -- 3.4 Equivalence Relations -- Problem-Solving Corner: Equivalence Relations -- 3.5 Matrices of Relations -- 3.6 Relational Databases -- Chapter 3 Notes -- Chapter 3 Review -- Chapter 3 Self-Test -- Chapter 3 Computer Exercises -- 4 Algorithms -- 4.1 Introduction -- 4.2 Examples of Algorithms -- 4.3 Analysis of Algorithms -- Problem-Solving Corner Design and Analysis of an Algorithm -- 4.4 Recursive Algorithms -- Chapter 4 Notes -- Chapter 4 Review -- Chapter 4 Self-Test -- Chapter 4 Computer Exercises -- 5 Introduction to Number Theory -- 5.1 Divisors -- 5.2 Representations of Integers and Integer Algorithms -- 5.3 The Euclidean Algorithm -- Problem-Solving Corner Making Postage -- 5.4 The RSA Public-Key Cryptosystem -- Chapter 5 Notes -- Chapter 5 Review -- Chapter 5 Self-Test -- Chapter 5 Computer Exercises -- 6 Counting Methods and the PigeonholePrinciple.
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|a 6.1 Basic Principles -- Problem-Solving Corner: Counting -- 6.2 Permutations and Combinations -- Problem-Solving Corner: Combinations -- 6.3 Generalized Permutations and Combinations -- 6.4 Algorithms for Generating Permutations and Combinations -- 6.5 Introduction to Discrete Probability -- 6.6 Discrete Probability Theory -- 6.7 Binomial Coefficients and Combinatorial Identities -- 6.8 The Pigeonhole Principle -- Chapter 6 Notes -- Chapter 6 Review -- Chapter 6 Self-Test -- Chapter 6 Computer Exercises -- 7 Recurrence Relations -- 7.1 Introduction -- 7.2 Solving Recurrence Relations -- Problem-Solving Corner Recurrence Relations -- 7.3 Applications to the Analysis of Algorithms -- 7.4 The Closest-Pair Problem -- Chapter 7 Notes -- Chapter 7 Review -- Chapter 7 Self-Test -- Chapter 7 Computer Exercises -- 8 Graph Theory -- 8.1 Introduction -- 8.2 Paths and Cycles -- Problem-Solving Corner: Graphs -- 8.3 Hamiltonian Cycles and the Traveling Salesperson Problem -- 8.4 A Shortest-Path Algorithm -- 8.5 Representations of Graphs -- 8.6 Isomorphisms of Graphs -- 8.7 Planar Graphs -- 8.8 Instant Insanity -- Chapter 8 Notes -- Chapter 8 Review -- Chapter 8 Self-Test -- Chapter 8 Computer Exercises -- 9 Trees -- 9.1 Introduction -- 9.2 Terminology and Characterizations of Trees -- Problem-Solving Corner Trees -- 9.3 Spanning Trees -- 9.4 Minimal Spanning Trees -- 9.5 Binary Trees -- 9.6 Tree Traversals -- 9.7 Decision Trees and the Minimum Timefor Sorting -- 9.8 Isomorphisms of Trees -- 9.9 Game Trees -- Chapter 9 Notes -- Chapter 9 Review -- Chapter 9 Self-Test -- Chapter 9 Computer Exercises -- 10 Network Models -- 10.1 Introduction -- 10.2 A Maximal Flow Algorithm -- 10.3 The Max Flow, Min Cut Theorem -- 10.4 Matching -- Problem-Solving Corner: Matching -- Chapter 10 Notes -- Chapter 10 Review -- Chapter 10 Self-Test -- Chapter 10 Computer Exercises.
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|a 11 Boolean Algebras and Combinatorial Circuits -- 11.1 Combinatorial Circuits -- 11.2 Properties of Combinatorial Circuits -- 11.3 Boolean Algebras -- Problem-Solving Corner Boolean Algebras -- 11.4 Boolean Functions and Synthesis of Circuits -- 11.5 Applications -- Chapter 11 Notes -- Chapter 11 Review -- Chapter 11 Self-Test -- Chapter 11 Computer Exercises -- 12 Automata, Grammars, and Languages -- 12.1 Sequential Circuits and Finite-State Machines -- 12.2 Finite-State Automata -- 12.3 Languages and Grammars -- 12.4 Nondeterministic Finite-State Automata -- 12.5 Relationships Between Languages and Automata -- Chapter 12 Notes -- Chapter 12 Review -- Chapter 12 Self-Test -- Chapter 12 Computer Exercises -- Appendix -- A Matrices -- B Algebra Review -- C Pseudocode -- References -- Hints and Solutions to Selected Exercises -- Index -- Back Cover.
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|a For one- or two-term introductory courses in discrete mathematics. An accessible introduction to the topics of discrete math, this best-selling text also works to expand students' mathematical maturity. With nearly 4,500 exercises, Discrete Mathematics provides ample opportunities for students to practice, apply, and demonstrate conceptual understanding. Exercise sets features a large number of applications, especially applications to computer science. The almost 650 worked examples provide ready reference for students as they work. A strong emphasis on the interplay among the various topics serves to reinforce understanding. The text models various problem-solving techniques in detail, then provides opportunity to practice these techniques. The text also builds mathematical maturity by emphasizing how to read and write proofs. Many proofs are illustrated with annotated figures and/or motivated by special Discussion sections. The side margins of the text now include "tiny URLs" that direct students to relevant applications, extensions, and computer programs on the textbook website.
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|a CS240 - Bachelor of Information Technology (Hons.)
|z Syllabus Programme
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|a Description based on publisher supplied metadata and other sources.
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|a Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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|a Mathematics..
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|a Computer science-Mathematics..
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|a Combinatorial analysis.
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|a Electronic books.
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|a Faculty Computer and Mathematical Sciences
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|a Nur Hayati Abdul Satar
|e Requestor
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|i Print version:
|a Johnsonbaugh, Richard
|t Discrete Mathematics, Global Edition
|d Harlow, United Kingdom : Pearson Education Limited,c2018
|z 9781292233703
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797 |
2 |
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|a ProQuest (Firm)
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856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=https://ebookcentral.proquest.com/lib/uitm-ebooks/detail.action?docID=5573702
|z View fulltext via EzAccess
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