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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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
Elementary number theory with applications / / Thomas Koshy
| Elementary number theory with applications / / Thomas Koshy |
| Autore | Koshy Thomas |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Academic Press, c2007 |
| 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-9910962184403321 |
|
Koshy Thomas
|
||
| Amsterdam ; ; Boston, : Academic Press, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
Fibonacci and Lucas numbers with applications / / Thomas Koshy
| Fibonacci and Lucas numbers with applications / / Thomas Koshy |
| Autore | Koshy Thomas |
| Pubbl/distr/stampa | New York, New York : , : John Wiley & Sons, Inc., , 2001 |
| Descrizione fisica | 1 online resource (676 p.) |
| Disciplina | 512.72 |
| Collana | Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts |
| Soggetto topico |
Fibonacci numbers
Lucas numbers |
| ISBN |
1-283-33204-3
9786613332042 1-118-03306-X 1-118-03131-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Fibonacci and Lucas Numbers with Applications; CONTENTS; Preface; List of Symbols; 1. Leonardo Fibonacci; 2. The Rabbit Problem; 3. Fibonacci Numbers in Nature; 4. Fibonacci Numbers: Additional Occurrences; 5. Fibonacci and Lucas Identities; 6. Geometric Paradoxes; 7. Generalized Fibonacci Numbers; 8. Additional Fibonacci and Lucas Formulas; 9. The Euclidean Algorithm; 10. Solving Recurrence Relations; 11. Completeness Theorems; 12. Pascal's Triangle; 13. Pascal-Like Triangles; 14. Additional Pascal-Like Triangles; 15. Hosoya's Triangle; 16. Divisibility Properties
17. Generalized Fibonacci Numbers Revisited18. Generating Functions; 19. Generating Functions Revisited; 20. The Golden Ratio; 21. The Golden Ratio Revisited; 22. Golden Triangles; 23. Golden Rectangles; 24. Fibonacci Geometry; 25. Regular Pentagons; 26. The Golden Ellipse and Hyperbola; 27. Continued Fractions; 28. Weighted Fibonacci and Lucas Sums; 29. Fibonacci and Lucas Sums Revisited; 30. The Knapsack Problem; 31. Fibonacci Magic Squares; 32. Fibonacci Matrices; 33. Fibonacci Determinants; 34. Fibonacci and Lucas Congruences; 35. Fibonacci and Lucas Periodicity 36. Fibonacci and Lucas Series37. Fibonacci Polynomials; 38. Lucas Polynomials; 39. Jacobsthal Polynomials; 40. Zeros of Fibonacci and Lucas Polynomials; 41. Morgan-Voyce Polynomials; 42. Fibonometry; 43. Fibonacci and Lucas Subscripts; 44. Gaussian Fibonacci and Lucas Numbers; 45. Analytic Extensions; 46. Tribonacci Numbers; 47. Tribonacci Polynomials; Appendix; A.1. Fundamentals; A.2. The First 100 Fibonacci and Lucas Numbers; A.3. The First 100 Fibonacci Numbers and Their Prime Factorizations; A.4. The First 100 Lucas Numbers and Their Prime Factorizations; References Solutions to Odd-Numbered ExercisesIndex |
| Record Nr. | UNINA-9910141196603321 |
|
Koshy Thomas
|
||
| New York, New York : , : John Wiley & Sons, Inc., , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
