Fibonacci and catalan numbers : an introduction / (Record no. 205515)
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| control field | ocn773301897 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20171115114950.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 120119s2012 nju ob 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118159743 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118159748 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118159774 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118159772 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118159767 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118159764 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780470631577 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0470631570 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 1283401150 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781283401159 |
| 024 8# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 9786613401151 |
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| OCLC library identifier | NZ1 |
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| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)773301897 |
| Canceled/invalid control number | (OCoLC)769927176 |
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| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 10.1002/9781118159743 |
| Source of stock number/acquisition | Wiley InterScience |
| Note | http://www3.interscience.wiley.com |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 65521384-B8D5-48C9-B4EF-70C8CB1F3062 |
| Source of stock number/acquisition | OverDrive, Inc. |
| Note | http://www.overdrive.com |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DG1 |
| Language of cataloging | eng |
| Description conventions | pn |
| Transcribing agency | DG1 |
| Modifying agency | CDX |
| -- | COO |
| -- | OCLCQ |
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| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA241 |
| Item number | .G725 2012 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 036000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBV |
| Source | bicssc |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.7/2 |
| Edition number | 23 |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | MAT036000 |
| Number source | bisacsh |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | 31.14 |
| Number source | bcl |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | 31.12 |
| Number source | bcl |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Grimaldi, Ralph P. |
| 245 10 - TITLE STATEMENT | |
| Title | Fibonacci and catalan numbers : an introduction / |
| Statement of responsibility, etc. | Ralph P. Grimaldi. |
| Medium | [electronic resource] |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Hoboken, N.J. : |
| Name of publisher, distributor, etc. | John Wiley & Sons, |
| Date of publication, distribution, etc. | ©2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | data file |
| Source | rda |
| 380 ## - FORM OF WORK | |
| Form of work | Bibliography |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Frontmatter -- The Fibonacci Numbers. Historical Background -- The Problem of the Rabbits -- The Recursive Definition -- Properties of the Fibonacci Numbers -- Some Introductory Examples -- Compositions and Palindromes -- Tilings: Divisibility Properties of the Fibonacci Numbers -- Chess Pieces on Chessboards -- Optics, Botany, and the Fibonacci Numbers -- Solving Linear Recurrence Relations: The Binet Form for -- More on and : Applications in Trigonometry, Physics, Continued Fractions, Probability, the Associative Law, and Computer Science -- Examples from Graph Theory: An Introduction to the Lucas Numbers -- The Lucas Numbers: Further Properties and Examples -- Matrices, The Inverse Tangent Function, and an Infinite Sum -- The gcd Property for the Fibonacci Numbers -- Alternate Fibonacci Numbers -- One Final Example? -- The Catalan Numbers. Historical Background -- A First Example: A Formula for the Catalan Numbers -- Some Further Initial Examples -- Dyck Paths, Peaks, and Valleys -- Young Tableaux, Compositions, and Vertices and Arcs -- Triangulating the Interior of a Convex Polygon -- Some Examples from Graph Theory -- Partial Orders, Total Orders, and Topological Sorting -- Sequences and a Generating Tree -- Maximal Cliques, a Computer Science Example, and the Tennis Ball Problem -- The Catalan Numbers at Sporting Events -- A Recurrence Relation for the Catalan Numbers -- Triangulating the Interior of a Convex Polygon for the Second Time -- Rooted Ordered Binary Trees, Pattern Avoidance, and Data Structures -- Staircases, Arrangements of Coins, The Handshaking Problem, and Noncrossing Partitions -- The Narayana Numbers -- Related Number Sequences: The Motzkin Numbers, The Fine Numbers, and the Schr̲der Numbers -- Generalized Catalan Numbers -- One Final Example? -- Solutions for the Odd-Numbered Exercises -- Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | "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"-- |
| Assigning source | Provided by publisher. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Fibonacci numbers. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Recurrent sequences (Mathematics) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Catalan numbers (Mathematics) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Combinatorial analysis. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Combinatorics. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Combinatorics. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Catalan numbers (Mathematics) |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01746088 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Combinatorial analysis. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00868961 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Fibonacci numbers. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00923656 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Recurrent sequences (Mathematics) |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01091981 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 655 #0 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Grimaldi, Ralph P. |
| Title | Fibonacci and catalan numbers. |
| Place, publisher, and date of publication | Hoboken, N.J. : John Wiley & Sons, ©2012 |
| International Standard Book Number | 9780470631577 |
| Record control number | (DLC) 2011043338 |
| -- | (OCoLC)744299345 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://onlinelibrary.wiley.com/book/10.1002/9781118159743 |
| Public note | Wiley Online Library |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | Books |
No items available.