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Logic and Discrete Mathematics A Concise Introduction, Solutions Manual.

Detalles Bibliográficos
Autor principal: Conradie, Willem
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2015.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Conradie, Willem. 
245 1 0 |a Logic and Discrete Mathematics  |h [electronic resource] :  |b A Concise Introduction, Solutions Manual. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2015. 
300 |a 1 online resource (196 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 0 |a Cover -- Title Page -- Copyright -- Contents -- Preface -- 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 -- 2.9 Application: relational databases 
505 8 |a Chapter 3 Propositional Logic -- 3.1 Propositions, logical connectives, truth tables, tautologies -- 3.2 Propositional logical consequence. Valid and invalid propositional inferences -- 3.3 Semantic tableaux -- 3.4 Logical equivalences. Negating propositional formulae -- 3.5 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 -- 4.4 Truth, logical validity, equivalence and consequence in first-order logic 
505 8 |a 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 -- 5.7 Linear Diophantine equations and linear congruences 
505 8 |a 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 -- 6.7 Recurrence relations and their solution -- 6.8 Generating functions 
505 8 |a 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 -- EULA 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
655 0 |a Electronic books. 
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776 0 8 |i Print version:  |a Conradie, Willem  |t Logic and Discrete Mathematics  |d Newark : John Wiley & Sons, Incorporated,c2015  |z 9781118762677 
830 0 |a New York Academy of Sciences Ser. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104329  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL7104329 
994 |a 92  |b IZTAP