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Discrete mathematics with applications [[electronic resource] /] / Thomas Koshy
Discrete mathematics with applications [[electronic resource] /] / Thomas Koshy
Autore Koshy Thomas
Pubbl/distr/stampa Amsterdam ; ; Boston, : Elsevier Academic Press, c2004
Descrizione fisica 1 online resource (1079 p.)
Disciplina 510
Soggetto topico Mathematics
Soggetto genere / forma Electronic books.
ISBN 1-281-05068-7
9786611050689
0-08-047734-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Discrete Mathematics with Applications; Copyright Page; Table of Contents; Preface; A Word to the Student; Chapter 1. The Language of Logic; 1.1 Propositions; 1.2 Logical Equivalences; 1.3 Quantifiers; 1.4 Arguments (optional); 1.5 Proof Methods; Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 2. The Language of Sets; 2.1 The Concept of a Set; 2.2 Operations with Sets; 2.3 Computer Operations with Sets (optional); 2.4 The Cardinality of a Set; 2.5 Recursively Defined Sets; Chapter Summary
Review Exercises Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 3. Functions and Matrices; 3.1 The Concept of a Function; 3.2 Special Functions; 3.3 Properties of Functions; 3.4 The Pigeonhole Principle; 3.5 Composition of Functions; 3.6 Sequences and the Summation Notation; 3.7 Matrices; Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 4. Induction and Algorithms; 4.1 The Division Algorithm; 4.2 Divisibility Properties; 4.3 Nondecimal Bases
4.4 Mathematical Induction 4.5 Algorithm Correctness; 4.6 The Growth of Functions; 4.7 Complexities of Algorithms (optional); Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 5. Recursion; 5.1 Recursively Defined Functions; 5.2 Solving Recurrence Relations; 5.3 Solving Recurrence Relations Revisited; 5.4 Generating Functions; 5.5 Recursive Algorithms; 5.6 Correctness of Recursive Algorithms; 5.7 Complexities of Recursive Algorithms (optional); Chapter Summary; Review Exercises; Supplementary Exercises
Computer Exercises Exploratory Writing Projects; Enrichment Readings; Chapter 6. Combinatorics and Discrete Probability; 6.1 The Fundamental Counting Principles; 6.2 Permutations; 6.3 Derangements; 6.4 Combinations; 6.5 Permutations and Combinations with Repetitions; 6.6 The Binomial Theorem; 6.7 The Generalized Inclusion-Exclusion Principle (GIEP) (optional); 6.8 Discrete Probability (optional); 6.9 Additional Topics in Probability (optional); Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 7. Relations
7.1 Boolean Matrices 7.2 Relations and Digraphs; 7.3 Computer Representations of Relations (optional); 7.4 Properties of Relations; 7.5 Operations on Relations; 7.6 The Connectivity Relation (optional); 7.7 Transitive Closure (optional); 7.8 Equivalence Relations; 7.9 Partial and Total Orderings; Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 8. Graphs; 8.1 Graphs; 8.2 Computer Representations of Graphs (optional); 8.3 Isomorphic Graphs; 8.4 Paths, Cycles, and Circuits
8.5 Eulerian and Hamiltonian Graphs
Record Nr. UNINA-9910458146903321
Koshy Thomas  
Amsterdam ; ; Boston, : Elsevier Academic Press, c2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Discrete mathematics with applications [[electronic resource] /] / Thomas Koshy
Discrete mathematics with applications [[electronic resource] /] / Thomas Koshy
Autore Koshy Thomas
Pubbl/distr/stampa Amsterdam ; ; Boston, : Elsevier Academic Press, c2004
Descrizione fisica 1 online resource (1079 p.)
Disciplina 510
Soggetto topico Mathematics
ISBN 1-281-05068-7
9786611050689
0-08-047734-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Discrete Mathematics with Applications; Copyright Page; Table of Contents; Preface; A Word to the Student; Chapter 1. The Language of Logic; 1.1 Propositions; 1.2 Logical Equivalences; 1.3 Quantifiers; 1.4 Arguments (optional); 1.5 Proof Methods; Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 2. The Language of Sets; 2.1 The Concept of a Set; 2.2 Operations with Sets; 2.3 Computer Operations with Sets (optional); 2.4 The Cardinality of a Set; 2.5 Recursively Defined Sets; Chapter Summary
Review Exercises Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 3. Functions and Matrices; 3.1 The Concept of a Function; 3.2 Special Functions; 3.3 Properties of Functions; 3.4 The Pigeonhole Principle; 3.5 Composition of Functions; 3.6 Sequences and the Summation Notation; 3.7 Matrices; Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 4. Induction and Algorithms; 4.1 The Division Algorithm; 4.2 Divisibility Properties; 4.3 Nondecimal Bases
4.4 Mathematical Induction 4.5 Algorithm Correctness; 4.6 The Growth of Functions; 4.7 Complexities of Algorithms (optional); Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 5. Recursion; 5.1 Recursively Defined Functions; 5.2 Solving Recurrence Relations; 5.3 Solving Recurrence Relations Revisited; 5.4 Generating Functions; 5.5 Recursive Algorithms; 5.6 Correctness of Recursive Algorithms; 5.7 Complexities of Recursive Algorithms (optional); Chapter Summary; Review Exercises; Supplementary Exercises
Computer Exercises Exploratory Writing Projects; Enrichment Readings; Chapter 6. Combinatorics and Discrete Probability; 6.1 The Fundamental Counting Principles; 6.2 Permutations; 6.3 Derangements; 6.4 Combinations; 6.5 Permutations and Combinations with Repetitions; 6.6 The Binomial Theorem; 6.7 The Generalized Inclusion-Exclusion Principle (GIEP) (optional); 6.8 Discrete Probability (optional); 6.9 Additional Topics in Probability (optional); Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 7. Relations
7.1 Boolean Matrices 7.2 Relations and Digraphs; 7.3 Computer Representations of Relations (optional); 7.4 Properties of Relations; 7.5 Operations on Relations; 7.6 The Connectivity Relation (optional); 7.7 Transitive Closure (optional); 7.8 Equivalence Relations; 7.9 Partial and Total Orderings; Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 8. Graphs; 8.1 Graphs; 8.2 Computer Representations of Graphs (optional); 8.3 Isomorphic Graphs; 8.4 Paths, Cycles, and Circuits
8.5 Eulerian and Hamiltonian Graphs
Record Nr. UNINA-9910784562003321
Koshy Thomas  
Amsterdam ; ; Boston, : Elsevier Academic Press, c2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Discrete mathematics with applications [[electronic resource] /] / Thomas Koshy
Discrete mathematics with applications [[electronic resource] /] / Thomas Koshy
Autore Koshy Thomas
Pubbl/distr/stampa Amsterdam ; ; Boston, : Elsevier Academic Press, c2004
Descrizione fisica 1 online resource (1079 p.)
Disciplina 510
Soggetto topico Mathematics
ISBN 1-281-05068-7
9786611050689
0-08-047734-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Discrete Mathematics with Applications; Copyright Page; Table of Contents; Preface; A Word to the Student; Chapter 1. The Language of Logic; 1.1 Propositions; 1.2 Logical Equivalences; 1.3 Quantifiers; 1.4 Arguments (optional); 1.5 Proof Methods; Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 2. The Language of Sets; 2.1 The Concept of a Set; 2.2 Operations with Sets; 2.3 Computer Operations with Sets (optional); 2.4 The Cardinality of a Set; 2.5 Recursively Defined Sets; Chapter Summary
Review Exercises Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 3. Functions and Matrices; 3.1 The Concept of a Function; 3.2 Special Functions; 3.3 Properties of Functions; 3.4 The Pigeonhole Principle; 3.5 Composition of Functions; 3.6 Sequences and the Summation Notation; 3.7 Matrices; Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 4. Induction and Algorithms; 4.1 The Division Algorithm; 4.2 Divisibility Properties; 4.3 Nondecimal Bases
4.4 Mathematical Induction 4.5 Algorithm Correctness; 4.6 The Growth of Functions; 4.7 Complexities of Algorithms (optional); Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 5. Recursion; 5.1 Recursively Defined Functions; 5.2 Solving Recurrence Relations; 5.3 Solving Recurrence Relations Revisited; 5.4 Generating Functions; 5.5 Recursive Algorithms; 5.6 Correctness of Recursive Algorithms; 5.7 Complexities of Recursive Algorithms (optional); Chapter Summary; Review Exercises; Supplementary Exercises
Computer Exercises Exploratory Writing Projects; Enrichment Readings; Chapter 6. Combinatorics and Discrete Probability; 6.1 The Fundamental Counting Principles; 6.2 Permutations; 6.3 Derangements; 6.4 Combinations; 6.5 Permutations and Combinations with Repetitions; 6.6 The Binomial Theorem; 6.7 The Generalized Inclusion-Exclusion Principle (GIEP) (optional); 6.8 Discrete Probability (optional); 6.9 Additional Topics in Probability (optional); Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 7. Relations
7.1 Boolean Matrices 7.2 Relations and Digraphs; 7.3 Computer Representations of Relations (optional); 7.4 Properties of Relations; 7.5 Operations on Relations; 7.6 The Connectivity Relation (optional); 7.7 Transitive Closure (optional); 7.8 Equivalence Relations; 7.9 Partial and Total Orderings; Chapter Summary; Review Exercises; Supplementary Exercises; Computer Exercises; Exploratory Writing Projects; Enrichment Readings; Chapter 8. Graphs; 8.1 Graphs; 8.2 Computer Representations of Graphs (optional); 8.3 Isomorphic Graphs; 8.4 Paths, Cycles, and Circuits
8.5 Eulerian and Hamiltonian Graphs
Record Nr. UNINA-9910820440003321
Koshy Thomas  
Amsterdam ; ; Boston, : Elsevier Academic Press, c2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Elementary number theory with applications [[electronic resource] /] / Thomas Koshy
Elementary number theory with applications [[electronic resource] /] / Thomas Koshy
Autore Koshy Thomas
Edizione [2nd ed.]
Pubbl/distr/stampa Amsterdam ; ; Boston, : Academic Press, c2007
Descrizione fisica 1 online resource (801 p.)
Disciplina 512.7
Soggetto topico Number theory
Soggetto genere / forma Electronic books.
ISBN 1-282-54025-4
9786612540257
0-08-054709-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Fundamentals -- Divisibility -- Greatest common divisors -- Congruences -- Congruence applications -- Systems of linear congruences -- Three classical milestones -- Multiplicative functions -- Cryptology -- Primitive roots and indices -- Quadratic congruences -- Continued fractions -- Miscellaneous nonlinear diophantine equations.
Record Nr. UNINA-9910459098603321
Koshy Thomas  
Amsterdam ; ; Boston, : Academic Press, c2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Elementary number theory with applications / / Thomas Koshy
Elementary number theory with applications / / Thomas Koshy
Autore Koshy Thomas
Edizione [Second edition.]
Pubbl/distr/stampa Amsterdam : , : Academic Press, , [2007]
Descrizione fisica 1 online resource (801 pages)
Disciplina 512.7
Soggetto topico Number theory
ISBN 1-282-54025-4
9786612540257
0-08-054709-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Fundamentals -- Divisibility -- Greatest common divisors -- Congruences -- Congruence applications -- Systems of linear congruences -- Three classical milestones -- Multiplicative functions -- Cryptology -- Primitive roots and indices -- Quadratic congruences -- Continued fractions -- Miscellaneous nonlinear diophantine equations.
Record Nr. UNINA-9910792587103321
Koshy Thomas  
Amsterdam : , : Academic Press, , [2007]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Elementary number theory with applications / / Thomas Koshy
Elementary number theory with applications / / Thomas Koshy
Autore Koshy Thomas
Edizione [Second edition.]
Pubbl/distr/stampa Amsterdam : , : Academic Press, , [2007]
Descrizione fisica 1 online resource (801 pages)
Disciplina 512.7
Soggetto topico Number theory
ISBN 1-282-54025-4
9786612540257
0-08-054709-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Fundamentals -- Divisibility -- Greatest common divisors -- Congruences -- Congruence applications -- Systems of linear congruences -- Three classical milestones -- Multiplicative functions -- Cryptology -- Primitive roots and indices -- Quadratic congruences -- Continued fractions -- Miscellaneous nonlinear diophantine equations.
Record Nr. UNINA-9910813421303321
Koshy Thomas  
Amsterdam : , : Academic Press, , [2007]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fibonacci and Lucas numbers with applications . Volume Two / / Thomas Koshy, Framingham State University
Fibonacci and Lucas numbers with applications . Volume Two / / Thomas Koshy, Framingham State University
Autore Koshy Thomas
Edizione [Second edition.]
Pubbl/distr/stampa Hoboken, NJ : , : Wiley, , 2019
Descrizione fisica 1 online resource (754 pages) : illustrations
Disciplina 512.7/2
Collana Pure and applied mathematics: a Wiley series of texts, monographs, and tracts
Soggetto topico Fibonacci numbers
Lucas numbers
ISBN 1-118-74218-4
1-118-74214-1
1-118-74229-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910526449903321
Koshy Thomas  
Hoboken, NJ : , : Wiley, , 2019
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fibonacci and Lucas numbers with applications . Volume Two / / Thomas Koshy, Framingham State University
Fibonacci and Lucas numbers with applications . Volume Two / / Thomas Koshy, Framingham State University
Autore Koshy Thomas
Edizione [Second edition.]
Pubbl/distr/stampa Hoboken, NJ : , : Wiley, , 2019
Descrizione fisica 1 online resource (754 pages) : illustrations
Disciplina 512.7/2
Collana Pure and applied mathematics: a Wiley series of texts, monographs, and tracts
Soggetto topico Fibonacci numbers
Lucas numbers
ISBN 1-118-74218-4
1-118-74214-1
1-118-74229-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910809802703321
Koshy Thomas  
Hoboken, NJ : , : Wiley, , 2019
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fibonacci and Lucas numbers with applications . Volume 1, / / Thomas Koshy
Fibonacci and Lucas numbers with applications . Volume 1, / / Thomas Koshy
Autore Koshy Thomas
Edizione [Second edition.]
Pubbl/distr/stampa Hoboken, New Jersey : , : Wiley, , 2018
Descrizione fisica 1 online resource (1 volume) : illustrations
Disciplina 512.72
Collana Pure and applied mathematics : a Wiley series of texts, monographs, and tracts
Soggetto topico Fibonacci numbers
Lucas numbers
Soggetto genere / forma Electronic books.
ISBN 1-118-74217-6
1-118-74206-0
1-118-74232-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910270872303321
Koshy Thomas  
Hoboken, New Jersey : , : Wiley, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fibonacci and Lucas numbers with applications . Volume 1, / / Thomas Koshy
Fibonacci and Lucas numbers with applications . Volume 1, / / Thomas Koshy
Autore Koshy Thomas
Edizione [Second edition.]
Pubbl/distr/stampa Hoboken, New Jersey : , : Wiley, , 2018
Descrizione fisica 1 online resource (1 volume) : illustrations
Disciplina 512.72
Collana Pure and applied mathematics : a Wiley series of texts, monographs, and tracts
Soggetto topico Fibonacci numbers
Lucas numbers
ISBN 1-118-74217-6
1-118-74206-0
1-118-74232-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910830540203321
Koshy Thomas  
Hoboken, New Jersey : , : Wiley, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui