Combinatorial identities for Stirling numbers : (Record no. 47611)
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| 001 - CONTROL NUMBER | |
| control field | ocn928387529 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200827105438.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr mn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 151109t20162016nju ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | N$T |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | N$T |
| Modifying agency | YDXCP |
| -- | IDEBK |
| -- | OCLCF |
| -- | OSU |
| -- | CDX |
| -- | DEBSZ |
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| -- | LEAUB |
| -- | M8D |
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| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789814725286 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9814725285 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9789814725262 |
| Qualifying information | (hardcover ; |
| -- | alk. paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9814725269 |
| Qualifying information | (hardcover ; |
| -- | alk. paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9789814725279 |
| Qualifying information | (softcover ; |
| -- | alk. paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9814725277 |
| Qualifying information | (softcover ; |
| -- | alk. paper) |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000057000136 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV043785049 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 472872257 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)928387529 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA164 |
| Item number | .Q83 2015eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 002040 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.7 |
| Edition number | 23 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Quaintance, Jocelyn, |
| Relator term | author. |
| Authority record control number or standard number | http://id.loc.gov/authorities/names/n2015061230 |
| 245 10 - TITLE STATEMENT | |
| Title | Combinatorial identities for Stirling numbers : |
| Remainder of title | the unpublished notes of H.W. Gould / |
| Statement of responsibility, etc. | Jocelyn Quaintance, University of Pennsylvania, USA, H.W. Gould, West Virginia University, USA. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | New Jersey : |
| Name of producer, publisher, distributor, manufacturer | World Scientific, |
| Date of production, publication, distribution, manufacture, or copyright notice | [2016] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | �2016 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xv, 260 pages) |
| 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 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (pages 253-255) and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Basic properties of series -- The binomial theorem -- Iterative series -- Two of Professor Gould's favorite algebraic techniques -- Vandermonde convolution -- The nth difference operator and Euler's finite difference theorem -- Melzak's formula -- Generalizied derivative formulas -- Stirling numbers of the second kind s(n, k) -- Eulerian numbers -- Worpitzky numbers -- Stirling numbers of the first kind s(n, k) -- Explicit formulas for s(n, n -- k) -- Number theoretic definitions of Stirling numbers -- Bernoulli numbers. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | "This book is a unique work which provides an in-depth exploration into the mathematical expertise, philosophy, and knowledge of H W Gould. It is written in a style that is accessible to the reader with basic mathematical knowledge, and yet contains material that will be of interest to the specialist in enumerative combinatorics. This book begins with exposition on the combinatorial and algebraic techniques that Professor Gould uses for proving binomial identities. These techniques are then applied to develop formulas which relate Stirling numbers of the second kind to Stirling numbers of the first kind. Professor Gould's techniques also provide connections between both types of Stirling numbers and Bernoulli numbers. Professor Gould believes his research success comes from his intuition on how to discover combinatorial identities. This book will appeal to a wide audience and may be used either as lecture notes for a beginning graduate level combinatorics class, or as a research supplement for the specialist in enumerative combinatorics."-- |
| Assigning source | Provided by publisher. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | eBooks on EBSCOhost |
| Provenance (VM) [OBSOLETE] | EBSCO eBook Subscription Academic Collection - Worldwide |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Combinatorial analysis. |
| Authority record control number or standard number | http://id.loc.gov/authorities/subjects/sh85028802 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical analysis. |
| Authority record control number or standard number | http://id.loc.gov/authorities/subjects/sh85082116 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Algebra |
| -- | Intermediate. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Combinatorial analysis. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst00868961 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical analysis. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst01012068 |
| 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. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Gould, Henry Wadsworth, |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Quaintance, Jocelyn. |
| Title | Combinatorial identities for Stirling numbers. |
| Place, publisher, and date of publication | New Jersey : World Scientific, [2016] |
| International Standard Book Number | 9789814725262 |
| Record control number | (DLC) 2015032206 |
| -- | (OCoLC)925426327 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://libproxy.firstcity.edu.my:8443/login?url=http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1091539">https://libproxy.firstcity.edu.my:8443/login?url=http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1091539</a> |
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