Fibonacci and catalan numbers: an introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, N.J.
Wiley
2012
|
| Schlagworte: | |
| Online-Zugang: | FRO01 TUM01 Volltext |
| Beschreibung: | Includes bibliographical references and index "In this one-of-a-kind book, Ralph Grimaldi uses his extensive experience from the classroom and as a leader of mini-courses to present an accessible, single resource on the topics of Fibonacci Numbers and Catalan Numbers. The book first embarks on a complete treatment of Fibonacci numbers. Starting with a historical background on the topic, the author goes on to present the properties of Fibonacci numbers, a slew of introductory-level examples, and in-depth discussion of related topics including compositions and palindromes; tiling and Fibonacci numbers; solving linear recurrence relations; graph theory; Lucas numbers; and alternate Fibonacci numbers. The second half of the book explores Catalan numbers, and the author builds a complete foundation to the topic using a historical background and introductory examples, along with coverage of partial orders, total orders, topological sorting, graph theory, rooted ordered binary trees, pattern avoidance, and the Narayana numbers. Coverage of both topics are accompanied by interesting, real-world examples from areas such as sports, botany, and computer science. Each section concludes with detailed exercise sets that can also serve as extended examples of the presented material along with selected solutions. An Instructor's Manual featuring complete solutions is available upon written request, and extensive reference sections outline resources for further study of the discussed topics."-- |
| Beschreibung: | 1 Online-Ressource (xiv, 366 p.) |
| ISBN: | 9781118159743 |
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| 245 | 1 | 0 | |a Fibonacci and catalan numbers |b an introduction |c Ralph P. Grimaldi |
| 264 | 1 | |a Hoboken, N.J. |b Wiley |c 2012 | |
| 300 | |a 1 Online-Ressource (xiv, 366 p.) | ||
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| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 500 | |a "In this one-of-a-kind book, Ralph Grimaldi uses his extensive experience from the classroom and as a leader of mini-courses to present an accessible, single resource on the topics of Fibonacci Numbers and Catalan Numbers. The book first embarks on a complete treatment of Fibonacci numbers. Starting with a historical background on the topic, the author goes on to present the properties of Fibonacci numbers, a slew of introductory-level examples, and in-depth discussion of related topics including compositions and palindromes; tiling and Fibonacci numbers; solving linear recurrence relations; graph theory; Lucas numbers; and alternate Fibonacci numbers. The second half of the book explores Catalan numbers, and the author builds a complete foundation to the topic using a historical background and introductory examples, along with coverage of partial orders, total orders, topological sorting, graph theory, rooted ordered binary trees, pattern avoidance, and the Narayana numbers. Coverage of both topics are accompanied by interesting, real-world examples from areas such as sports, botany, and computer science. Each section concludes with detailed exercise sets that can also serve as extended examples of the presented material along with selected solutions. An Instructor's Manual featuring complete solutions is available upon written request, and extensive reference sections outline resources for further study of the discussed topics."-- | ||
| 505 | 0 | |a pt. 1. The Fibonacci numbers -- pt. 2. The Catalan numbers | |
| 533 | |a Online-Ausgabe |n Available via World Wide Web | ||
| 650 | 4 | |a Fibonacci numbers | |
| 650 | 4 | |a Recurrent sequences (Mathematics) | |
| 650 | 4 | |a Catalan numbers (Mathematics) | |
| 650 | 4 | |a Combinatorial analysis | |
| 650 | 0 | 7 | |a Catalan-Vermutung |0 (DE-588)4369060-9 |2 gnd |9 rswk-swf |
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| 776 | 0 | 8 | |i Reproduktion von |a Grimaldi, Ralph P., 1943- |t Fibonacci and catalan numbers |d 2012 |
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Datensatz im Suchindex
| _version_ | 1804151491158605824 |
|---|---|
| any_adam_object | |
| author | Grimaldi, Ralph P. 1943- |
| author_GND | (DE-588)1029529507 |
| author_facet | Grimaldi, Ralph P. 1943- |
| author_role | aut |
| author_sort | Grimaldi, Ralph P. 1943- |
| author_variant | r p g rp rpg |
| building | Verbundindex |
| bvnumber | BV041391054 |
| callnumber-first | Q - Science |
| callnumber-label | QA241 |
| callnumber-raw | QA241 |
| callnumber-search | QA241 |
| callnumber-sort | QA 3241 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 SK 380 |
| classification_tum | MAT 100f |
| collection | ZDB-35-WIC |
| contents | pt. 1. The Fibonacci numbers -- pt. 2. The Catalan numbers |
| ctrlnum | (OCoLC)851033448 (DE-599)BVBBV041391054 |
| dewey-full | 512.7/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7/2 |
| dewey-search | 512.7/2 |
| dewey-sort | 3512.7 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:55:39Z |
| institution | BVB |
| isbn | 9781118159743 |
| language | English |
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| spelling | Grimaldi, Ralph P. 1943- Verfasser (DE-588)1029529507 aut Fibonacci and catalan numbers an introduction Ralph P. Grimaldi Hoboken, N.J. Wiley 2012 1 Online-Ressource (xiv, 366 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index "In this one-of-a-kind book, Ralph Grimaldi uses his extensive experience from the classroom and as a leader of mini-courses to present an accessible, single resource on the topics of Fibonacci Numbers and Catalan Numbers. The book first embarks on a complete treatment of Fibonacci numbers. Starting with a historical background on the topic, the author goes on to present the properties of Fibonacci numbers, a slew of introductory-level examples, and in-depth discussion of related topics including compositions and palindromes; tiling and Fibonacci numbers; solving linear recurrence relations; graph theory; Lucas numbers; and alternate Fibonacci numbers. The second half of the book explores Catalan numbers, and the author builds a complete foundation to the topic using a historical background and introductory examples, along with coverage of partial orders, total orders, topological sorting, graph theory, rooted ordered binary trees, pattern avoidance, and the Narayana numbers. Coverage of both topics are accompanied by interesting, real-world examples from areas such as sports, botany, and computer science. Each section concludes with detailed exercise sets that can also serve as extended examples of the presented material along with selected solutions. An Instructor's Manual featuring complete solutions is available upon written request, and extensive reference sections outline resources for further study of the discussed topics."-- pt. 1. The Fibonacci numbers -- pt. 2. The Catalan numbers Online-Ausgabe Available via World Wide Web Fibonacci numbers Recurrent sequences (Mathematics) Catalan numbers (Mathematics) Combinatorial analysis Catalan-Vermutung (DE-588)4369060-9 gnd rswk-swf Fibonacci-Folge (DE-588)4249138-1 gnd rswk-swf Fibonacci-Folge (DE-588)4249138-1 s Catalan-Vermutung (DE-588)4369060-9 s DE-604 Reproduktion von Grimaldi, Ralph P., 1943- Fibonacci and catalan numbers 2012 Erscheint auch als Druck-Ausgabe, Hardcover 978-0-470-63157-7 https://onlinelibrary.wiley.com/doi/book/10.1002/9781118159743 Volltext |
| spellingShingle | Grimaldi, Ralph P. 1943- Fibonacci and catalan numbers an introduction pt. 1. The Fibonacci numbers -- pt. 2. The Catalan numbers Fibonacci numbers Recurrent sequences (Mathematics) Catalan numbers (Mathematics) Combinatorial analysis Catalan-Vermutung (DE-588)4369060-9 gnd Fibonacci-Folge (DE-588)4249138-1 gnd |
| subject_GND | (DE-588)4369060-9 (DE-588)4249138-1 |
| title | Fibonacci and catalan numbers an introduction |
| title_auth | Fibonacci and catalan numbers an introduction |
| title_exact_search | Fibonacci and catalan numbers an introduction |
| title_full | Fibonacci and catalan numbers an introduction Ralph P. Grimaldi |
| title_fullStr | Fibonacci and catalan numbers an introduction Ralph P. Grimaldi |
| title_full_unstemmed | Fibonacci and catalan numbers an introduction Ralph P. Grimaldi |
| title_short | Fibonacci and catalan numbers |
| title_sort | fibonacci and catalan numbers an introduction |
| title_sub | an introduction |
| topic | Fibonacci numbers Recurrent sequences (Mathematics) Catalan numbers (Mathematics) Combinatorial analysis Catalan-Vermutung (DE-588)4369060-9 gnd Fibonacci-Folge (DE-588)4249138-1 gnd |
| topic_facet | Fibonacci numbers Recurrent sequences (Mathematics) Catalan numbers (Mathematics) Combinatorial analysis Catalan-Vermutung Fibonacci-Folge |
| url | https://onlinelibrary.wiley.com/doi/book/10.1002/9781118159743 |
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