ISBN: 9781118159767
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An Introduction, eBooks, eBook Download (EPUB,PDF), 1. Auflage, [PU: John Wiley & Sons], John Wiley & Sons, 2012
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ISBN: 9781118159767
Discover the properties and real-world applications of the Fibonacci and the Catalan numbersWith clear explanations and easy-to-follow examples, Fibonacci and Catalan Numbers: An Introduc… Mehr…
ISBN: 9781118159767
Wiley Counting & Numeration Fibonacci Numbers, Catalan Numbers, Fibonacci Numbers guide, Catalan Numbers guide, Fibonacci Numbers textbook, Catalan Numbers textbook, Fibonacci Numbers cou… Mehr…
ISBN: 9781118159767
*Fibonacci and Catalan Numbers* - An Introduction / epub eBook für 102.99 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als epub eBooks > F… Mehr…
ISBN: 9781118159767
Fibonacci and Catalan Numbers - An Introduction: ab 102.99 € eBooks > Fachthemen & Wissenschaft > Mathematik John Wiley & Sons eBook als epub, John Wiley & Sons
2012, ISBN: 9781118159767
An Introduction, eBooks, eBook Download (EPUB,PDF), 1. Auflage, [PU: John Wiley & Sons], John Wiley & Sons, 2012
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Detailangaben zum Buch - Fibonacci and Catalan Numbers
EAN (ISBN-13): 9781118159767
ISBN (ISBN-10): 1118159764
Erscheinungsjahr: 2012
Herausgeber: John Wiley & Sons
448 Seiten
Sprache: eng/Englisch
Buch in der Datenbank seit 2012-04-25T18:35:43+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-02-05T13:17:03+01:00 (Berlin)
ISBN/EAN: 9781118159767
ISBN - alternative Schreibweisen:
1-118-15976-4, 978-1-118-15976-7
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: grimaldi
Titel des Buches: fibonacci, catalan, beyond numbers, catala
Daten vom Verlag:
Autor/in: Ralph Grimaldi
Titel: Fibonacci and Catalan Numbers - An Introduction
Verlag: Wiley; John Wiley & Sons
448 Seiten
Erscheinungsjahr: 2012-02-21
Sprache: Englisch
100,99 € (DE)
Not available (reason unspecified)
EA; E101; E-Book; Nonbooks, PBS / Mathematik; Kombinatorik und Graphentheorie; Combinatorics; Discrete Mathematics; Diskrete Mathematik; Kombinatorik; Mathematics; Mathematik; Number Theory; Zahlentheorie; Kombinatorik; Diskrete Mathematik; Zahlentheorie; BB
Preface xi Part One. The Fibonacci Numbers 1. Historical Background 3 2. The Problem of the Rabbits 5 3. The Recursive Definition 7 4. Properties of the Fibonacci Numbers 8 5. Some Introductory Examples 13 6. Composition and Palindromes 23 7. Tilings: Divisibility Properties of the Fibonacci Numbers33 8. Chess Pieces on Chessboards 40 9. Optics, Botany, and the Fibonacci Numbers 46 10. Solving Linear Recurrence Relations: The Binet Form forFn 51 11. More on alpha and beta: Applications in Trigonometry,Physics, Continued Fractions, Probability, the Associative Law, andComputer Science 65 12. Examples from Graph Theory: An Introduction to the LucasNumbers 79 13. The Lucas Numbers: Further Properties and Examples 100 14. Matrices, The Inverse Tangent Function, and an Infinite Sum113 15. The ged Property for the Fibonacci Numbers 121 16. Alternate Fibonacci Numbers 126 17. One Final Example? 140 Part Two. The Catalan Numbers 18. Historical Background 147 19. A First Example: A Formula for the Catalan Numbers 150 20. Some Further Initial Examples 159 21. Dyck Paths, Peaks, and Valleys 169 22. Young Tableaux, Compositions, and Vertices and Ares 183 23. Triangulating the Interior of a Convex Polygon 192 24. Some Examples from Graph Theory 195 25. Partial Orders, Total Orders, and Topological Sorting205 26. Sequences and a Generating Tree 211 27. Maximal Cliques, a Computer Science Example, and the TennisBall Problem 219 28. The Catalan Numbers at Sporting Events 226 29. A Recurrence Relation for the Catalan Numbers 231 30. Triangulating the Interior of a Convex Polygon for theSecond Time 236 31. Rooted Ordered Binary Trees, Pattern Avoidance, and DataStructures 238 32. Staircases, Arrangements of Coins, Handshaking Problem, andNoncrossing Partitions 250 33. The Narayana Numbers 268 34. Related Number Sequences: The Motzkin Numbers, The FineNumbers, and The Schröder Numbers 282 35. Generalized Catalan Numbers 290 36. One Final Example? 296 Solutions for the Odd-Numbered Exercises 301 Index 355Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
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