Fibonacci and catalan numbers : (Record no. 21313)

MARC details
000 -LEADER
fixed length control field 06824cam a2200889Ka 4500
001 - CONTROL NUMBER
control field ocn773301897
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230823095425.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m o d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cn|||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120119s2012 nju ob 001 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency DG1
Language of cataloging eng
Description conventions pn
Transcribing agency DG1
Modifying agency CDX
-- COO
-- OCLCQ
-- YDXCP
-- UMI
-- OCLCO
-- OCLCQ
-- E7B
-- DEBSZ
-- NLGGC
-- OCLCA
-- OCLCQ
-- EBLCP
-- N$T
-- IDEBK
-- RECBK
-- OCLCF
-- DEBBG
-- OCLCQ
-- OCL
-- PHADU
-- OCLCQ
-- TEFOD
-- AZK
-- OCLCQ
-- DG1
019 ## -
-- 769927176
-- 778620540
-- 778957028
-- 811557277
-- 816882041
-- 839378664
-- 864906174
-- 953595662
-- 961599452
-- 962604587
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781118159743
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1118159748
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781118159774
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1118159772
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781118159767
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1118159764
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780470631577
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 0470631570
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 1283401150
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781283401159
024 8# - OTHER STANDARD IDENTIFIER
Standard number or code 9786613401151
028 01 - PUBLISHER NUMBER
Publisher number EB00062802
Source Recorded Books
029 1# - (OCLC)
OCLC library identifier AU@
System control number 000049117728
029 1# - (OCLC)
OCLC library identifier AU@
System control number 000050155629
029 1# - (OCLC)
OCLC library identifier DEBBG
System control number BV040884842
029 1# - (OCLC)
OCLC library identifier DEBBG
System control number BV041907136
029 1# - (OCLC)
OCLC library identifier DEBSZ
System control number 378279904
029 1# - (OCLC)
OCLC library identifier DEBSZ
System control number 397180071
029 1# - (OCLC)
OCLC library identifier DEBSZ
System control number 431068844
029 1# - (OCLC)
OCLC library identifier DEBSZ
System control number 449274209
029 1# - (OCLC)
OCLC library identifier DKDLA
System control number 820120-katalog:000600385
029 1# - (OCLC)
OCLC library identifier NZ1
System control number 14321882
029 1# - (OCLC)
OCLC library identifier NZ1
System control number 15340774
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)773301897
Canceled/invalid control number (OCoLC)769927176
-- (OCoLC)778620540
-- (OCoLC)778957028
-- (OCoLC)811557277
-- (OCoLC)816882041
-- (OCoLC)839378664
-- (OCoLC)864906174
-- (OCoLC)953595662
-- (OCoLC)961599452
-- (OCoLC)962604587
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
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
Source of number bisacsh
084 ## - OTHER CLASSIFICATION NUMBER
Classification number 31.14
Source of number bcl
084 ## - OTHER CLASSIFICATION NUMBER
Classification number 31.12
Source of number bcl
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Grimaldi, Ralph P.
245 10 - TITLE STATEMENT
Title Fibonacci and catalan numbers :
Remainder of title an introduction /
Statement of responsibility, etc Ralph P. Grimaldi.
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 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- data file
-- rda
380 ## -
-- Bibliography
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"--
-- Provided by publisher.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
588 0# -
-- Print version record.
526 ## - STUDY PROGRAM INFORMATION NOTE
Department Physical Science
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
-- (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
-- (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
-- (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
-- (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
Display text 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 <a href="http://dx.doi.org/10.1002/9781118159743">http://dx.doi.org/10.1002/9781118159743</a>
Public note Wiley Online Library
994 ## -
-- 92
-- DG1

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