Fibonacci and Catalan numbers: an introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, N.J.
John Wiley & Sons
c2012
|
| Schlagworte: | |
| 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: | xiv, 366 p. |
| ISBN: | 0470631570 9780470631577 9781118159774 |
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| 100 | 1 | |a Grimaldi, Ralph P. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Fibonacci and Catalan numbers |b an introduction |c Ralph P. Grimaldi |
| 264 | 1 | |a Hoboken, N.J. |b John Wiley & Sons |c c2012 | |
| 300 | |a xiv, 366 p. | ||
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| 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 | |
| 650 | 4 | |a Fibonacci numbers | |
| 650 | 4 | |a Recurrent sequences (Mathematics) | |
| 650 | 4 | |a Catalan numbers (Mathematics) | |
| 650 | 4 | |a Combinatorial analysis | |
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Datensatz im Suchindex
| _version_ | 1804177269922463744 |
|---|---|
| any_adam_object | |
| author | Grimaldi, Ralph P. |
| author_facet | Grimaldi, Ralph P. |
| author_role | aut |
| author_sort | Grimaldi, Ralph P. |
| author_variant | r p g rp rpg |
| building | Verbundindex |
| bvnumber | BV044159812 |
| collection | ZDB-30-PAD |
| contents | pt. 1. The Fibonacci numbers -- pt. 2. The Catalan numbers |
| ctrlnum | (ZDB-30-PAD)EBC818498 (ZDB-89-EBL)EBL818498 (OCoLC)773301897 (DE-599)BVBBV044159812 |
| 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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| id | DE-604.BV044159812 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:45:24Z |
| institution | BVB |
| isbn | 0470631570 9780470631577 9781118159774 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029566657 |
| oclc_num | 773301897 |
| open_access_boolean | |
| physical | xiv, 366 p. |
| psigel | ZDB-30-PAD |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | John Wiley & Sons |
| record_format | marc |
| spelling | Grimaldi, Ralph P. Verfasser aut Fibonacci and Catalan numbers an introduction Ralph P. Grimaldi Hoboken, N.J. John Wiley & Sons c2012 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 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 1\p DE-604 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Grimaldi, Ralph P. 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 |
| work_keys_str_mv | AT grimaldiralphp fibonacciandcatalannumbersanintroduction |