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Discrete mathematics for computer science : an example-based introduction / / Jon Pierre Fortney
| Discrete mathematics for computer science : an example-based introduction / / Jon Pierre Fortney |
| Autore | Fortney Jon Pierre |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Boca Raton : , : Chapman & Hall/CRC, , 2021 |
| Descrizione fisica | 1 online resource (270 pages) |
| Disciplina | 004.0151 |
| Soggetto topico |
Computer science - Mathematics
Discrete mathematics |
| ISBN |
1-00-309147-4
1-003-09147-4 1-000-29664-4 1-000-29680-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- Preface -- CHAPTER 1: Introduction to Algorithms -- 1.1. WHAT ARE ALGORITHMS? -- 1.2. CONTROL STRUCTURES -- 1.3. TRACING AN ALGORITHM -- 1.4. ALGORITHM EXAMPLES -- 1.5. PROBLEMS -- CHAPTER 2: Number Representations -- 2.1. WHOLE NUMBERS -- 2.2. FRACTIONAL NUMBERS -- 2.3. THE RELATIONSHIP BETWEEN BINARY, OCTAL, AND HEXADECIMAL NUMBERS -- 2.4. CONVERTING FROM DECIMAL NUMBERS -- 2.5. PROBLEMS -- CHAPTER 3: Logic -- 3.1. PROPOSITIONS AND CONNECTIVES -- 3.2. CONNECTIVE TRUTH TABLES -- 3.3. TRUTH VALUE OF COMPOUND STATEMENTS -- 3.4. TAUTOLOGIES AND CONTRADICTIONS -- 3.5. LOGICAL EQUIVALENCE AND THE LAWS OF LOGIC -- 3.6. PROBLEMS -- CHAPTER 4: Set Theory -- 4.1. SET NOTATION -- 4.2. SET OPERATIONS -- 4.3. VENN DIAGRAMS -- 4.4. THE LAWS OF SET THEORY -- 4.5. BINARY RELATIONS ON SETS -- 4.6. PROBLEMS -- CHAPTER 5: Boolean Algebra -- 5.1. DEFINITION OF BOOLEAN ALGEBRA -- 5.2. LOGIC AND SET THEORY AS BOOLEAN ALGEBRAS -- 5.3. DIGITAL CIRCUITS -- 5.4. SUMS-OF-PRODUCTS AND PRODUCTS-OF-SUMS -- 5.5. PROBLEMS -- CHAPTER 6: Functions -- 6.1. INTRODUCTION TO FUNCTIONS -- 6.2. REAL-VALUED FUNCTIONS -- 6.3. FUNCTION COMPOSITION AND INVERSES -- 6.4. PROBLEMS -- CHAPTER 7: Counting and Combinatorics -- 7.1. ADDITION AND MULTIPLICATION PRINCIPLES -- 7.2. COUNTING ALGORITHM LOOPS -- 7.3. PERMUTATIONS AND ARRANGEMENTS -- 7.4. COMBINATIONS AND SUBSETS -- 7.5. PERMUTATION AND COMBINATION EXAMPLES -- 7.6. PROBLEMS -- CHAPTER 8: Algorithmic Complexity -- 8.1. OVERVIEW OF ALGORITHMIC COMPLEXITY -- 8.2. TIME-COMPLEXITY FUNCTIONS -- 8.3. FINDING TIME-COMPLEXITY FUNCTIONS -- 8.4. BIG-O NOTATION -- 8.5. RANKING ALGORITHMS -- 8.6. PROBLEMS -- CHAPTER 9: Graph Theory -- 9.1. BASIC DEFINITIONS -- 9.2. EULERIAN AND SEMI-EULERIAN GRAPHS -- 9.3. MATRIX REPRESENTATIONS OF GRAPHS.
9.4. REACHABILITY FOR DIRECTED GRAPHS -- 9.5. PROBLEMS -- CHAPTER 10: Trees -- 10.1. BASIC DEFINITIONS -- 10.2. MINIMAL SPANNING TREES OF WEIGHTED GRAPHS -- 10.3. MINIMAL DISTANCE PATHS -- 10.4. PROBLEMS -- APPENDIX A: Basic Circuit Design -- A.1. BINARY ADDITION -- A.2. THE HALF-ADDER -- A.3. THE FULL-ADDER -- A.4. ADDING TWO EIGHT-DIGIT BINARY NUMBERS -- APPENDIX B: Answers to Problems -- B.1. CHAPTER ONE ANSWERS -- B.2. CHAPTER TWO ANSWERS -- B.3. CHAPTER THREE ANSWERS -- B.4. CHAPTER FOUR ANSWERS -- B.5. CHAPTER FIVE ANSWERS -- B.6. CHAPTER SIX ANSWERS -- B.7. CHAPTER SEVEN ANSWERS -- B.8. CHAPTER EIGHT ANSWERS -- B.9. CHAPTER NINE ANSWERS -- B.10. CHAPTER TEN ANSWERS -- Index. |
| Record Nr. | UNINA-9910860819903321 |
Fortney Jon Pierre
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| Boca Raton : , : Chapman & Hall/CRC, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A Visual Introduction to Differential Forms and Calculus on Manifolds [[electronic resource] /] / by Jon Pierre Fortney
| A Visual Introduction to Differential Forms and Calculus on Manifolds [[electronic resource] /] / by Jon Pierre Fortney |
| Autore | Fortney Jon Pierre |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
| Descrizione fisica | 1 online resource (XII, 468 p. 258 illus., 243 illus. in color.) |
| Disciplina | 515.37 |
| Soggetto topico |
Differential geometry
Manifolds (Mathematics) Complex manifolds Global analysis (Mathematics) Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Global Analysis and Analysis on Manifolds |
| ISBN | 3-319-96992-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Background Material -- An Introduction to Differential Forms -- The Wedgeproduct -- Exterior Differentiation -- Visualizing One-, Two-, and Three-Forms -- Push-Forwards and Pull-Backs -- Changes of Variables and Integration of Forms -- Vector Calculus and Differential Forms -- Manifolds and Forms on Manifolds -- Generalized Stokes' Theorem -- An Example: Electromagnetism. |
| Record Nr. | UNINA-9910300101803321 |
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Fortney Jon Pierre
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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