Fibonacci and Catalan numbers an introduction
(eBook)
Author
Contributors
Published
Hoboken, N.J. : John Wiley & Sons, c2012.
Physical Desc
xiv, 366 pages : ill.
Status
More Details
Format
eBook
Language
English
Notes
Bibliography
Includes bibliographical references and index.
Description
"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."--,Provided by publisher.
Reproduction
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
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Citations
APA Citation, 7th Edition (style guide)
Grimaldi, R. P. (2012). Fibonacci and Catalan numbers: an introduction . John Wiley & Sons.
Chicago / Turabian - Author Date Citation, 17th Edition (style guide)Grimaldi, Ralph P. 2012. Fibonacci and Catalan Numbers: An Introduction. John Wiley & Sons.
Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)Grimaldi, Ralph P. Fibonacci and Catalan Numbers: An Introduction John Wiley & Sons, 2012.
MLA Citation, 9th Edition (style guide)Grimaldi, Ralph P. Fibonacci and Catalan Numbers: An Introduction John Wiley & Sons, 2012.
Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.
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Grouped Work ID
38550f3a-f6a3-3eeb-dddc-f7fe9c05817b-eng
Grouping Information
Grouped Work ID | 38550f3a-f6a3-3eeb-dddc-f7fe9c05817b-eng |
---|---|
Full title | fibonacci and catalan numbers an introduction |
Author | grimaldi ralph p |
Grouping Category | book |
Last Update | 2022-06-07 21:23:19PM |
Last Indexed | 2024-05-04 03:22:27AM |
Book Cover Information
Image Source | default |
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First Loaded | Feb 18, 2024 |
Last Used | Feb 18, 2024 |
Marc Record
First Detected | Aug 09, 2021 12:17:18 PM |
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Last File Modification Time | Nov 22, 2021 08:09:11 AM |
MARC Record
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082 | 0 | 4 | |a 512.7/2|2 23 |
100 | 1 | |a Grimaldi, Ralph P. | |
245 | 1 | 0 | |a Fibonacci and Catalan numbers|h [eBook] :|b an introduction /|c Ralph P. Grimaldi. |
260 | |a Hoboken, N.J. :|b John Wiley & Sons,|c c2012. | ||
300 | |a xiv, 366 p. :|b ill. | ||
504 | |a Includes bibliographical references and index. | ||
505 | 0 | |a pt. 1. The Fibonacci numbers -- pt. 2. The Catalan numbers. | |
520 | |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."--|c Provided by publisher. | ||
533 | |a Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. | ||
650 | 0 | |a Fibonacci numbers. | |
650 | 0 | |a Recurrent sequences (Mathematics) | |
650 | 0 | |a Catalan numbers (Mathematics) | |
650 | 0 | |a Combinatorial analysis. | |
655 | 4 | |a Electronic books. | |
710 | 2 | |a ProQuest (Firm) | |
856 | 4 | 0 | |u http://ebookcentral.proquest.com/lib/yavapai-ebooks/detail.action?docID=818498|x Yavapai College|y Yavapai College users click here to access |
856 | 4 | 0 | |u http://ebookcentral.proquest.com/lib/prescottcollege-ebooks/detail.action?docID=818498|x Prescott College|y Prescott College users click here to access |
856 | 4 | 0 | |u http://ebookcentral.proquest.com/lib/yln-ebooks/detail.action?docID=818498|x Yavapai Library Network|y All other users click here to access |
945 | |a E-Book |