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OCoLC |
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20240329122006.0 |
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230209s2015 xx o ||| 0 eng d |
| 040 |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCQ
|d EBLCP
|d OCLCQ
|d OCLCO
|d OCLCQ
|d OCLCL
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| 020 |
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|a 9781118761090
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| 020 |
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|a 111876109X
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| 035 |
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|a (OCoLC)1347028645
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|a 511.3
|q OCoLC
|2 23/eng/20230216
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| 049 |
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|a UAMI
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| 100 |
1 |
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|a Conradie, Willem.
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| 245 |
1 |
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|a Logic and Discrete Mathematics
|h [electronic resource] :
|b A Concise Introduction.
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| 260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2015.
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| 300 |
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|a 1 online resource (590 p.).
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| 490 |
1 |
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|a New York Academy of Sciences Ser.
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| 500 |
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|a Description based upon print version of record.
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| 505 |
0 |
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|a Intro -- Title Page -- Copyright -- Table of Contents -- List of Boxes -- Preface -- Acknowledgements -- About the Companion Website -- Chapter 1: Preliminaries -- 1.1 Sets -- 1.2 Basics of logical connectives and expressions -- 1.3 Mathematical induction -- Chapter 2: Sets, Relations, Orders -- 2.1 Set inclusions and equalities -- 2.2 Functions -- 2.3 Binary relations and operations on them -- 2.4 Special binary relations -- 2.5 Equivalence relations and partitions -- 2.6 Ordered sets -- 2.7 An introduction to cardinality -- 2.8 Isomorphisms of ordered sets. Ordinal numbers
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|a 2.9 Application: relational databases -- Chapter 3: Propositional Logic -- 3.1 Propositions, logical connectives, truth tables, tautologies -- 3.2 Propositional logical consequence. Valid and invalid propositional inferences -- 3.3 The concept and use of deductive systems -- 3.4 Semantic tableaux -- 3.5 Logical equivalences. Negating propositional formulae -- 3.6 Normal forms. Propositional resolution -- Chapter 4: First-Order Logic -- 4.1 Basic concepts of first-order logic -- 4.2 The formal semantics of first-order logic -- 4.3 The language of first-order logic: a deeper look
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|a 4.4 Truth, logical validity, equivalence and consequence in first-order logic -- 4.5 Semantic tableaux for first-order logic -- 4.6 Prenex and clausal normal forms -- 4.7 Resolution in first-order logic -- 4.8 Applications of first-order logic to mathematical reasoning and proofs -- Chapter 5: Number Theory -- 5.1 The principle of mathematical induction revisited -- 5.2 Divisibility -- 5.3 Computing greatest common divisors. Least common multiples -- 5.4 Prime numbers. The fundamental theorem of arithmetic -- 5.5 Congruence relations -- 5.6 Equivalence classes and residue systems modulo n
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| 505 |
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|a 5.7 Linear Diophantine equations and linear congruences -- 5.8 Chinese remainder theorem -- 5.9 Euler's function. Theorems of Euler and Fermat -- 5.10 Wilson's theorem. Order of an integer -- 5.11 Application: public key cryptography -- Chapter 6: Combinatorics -- 6.1 Two basic counting principles -- 6.2 Combinations. The binomial theorem -- 6.3 The principle of inclusion-exclusion -- 6.4 The Pigeonhole Principle -- 6.5 Generalized permutations, distributions and the multinomial theorem -- 6.6 Selections and arrangements with repetition -- distributions of identical objects
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| 505 |
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|a 6.7 Recurrence relations and their solution -- 6.8 Generating functions -- 6.9 Recurrence relations and generating functions -- 6.10 Application: classical discrete probability -- Chapter 7: Graph Theory -- 7.1 Introduction to graphs and digraphs -- 7.2 Incidence and adjacency matrices -- 7.3 Weighted graphs and path algorithms -- 7.4 Trees -- 7.5 Eulerian graphs and Hamiltonian graphs -- 7.6 Planar graphs -- 7.7 Graph colourings -- Index -- End User License Agreement
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 655 |
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0 |
|a Electronic books.
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| 758 |
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|i has work:
|a Logic and discrete mathematics [2] Solutions manual (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCG9vvBbywhdXyfDMw9XBKd
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Conradie, Willem
|t Logic and Discrete Mathematics
|d Newark : John Wiley & Sons, Incorporated,c2015
|z 9781118751275
|
| 830 |
|
0 |
|a New York Academy of Sciences Ser.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104043
|z Texto completo
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| 938 |
|
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|a ProQuest Ebook Central
|b EBLB
|n EBL7104043
|
| 994 |
|
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|a 92
|b IZTAP
|
