Combinatorics : (Record no. 517103)
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| fixed length control field | 04008nam a22003978i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511803895 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160225.0 |
| 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|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 101021s2009||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511803895 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521883894 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521737944 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA164 |
| Item number | .K86 2009 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511/.6 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kung, Joseph P. S., |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Combinatorics : |
| Remainder of title | the Rota way / |
| Statement of responsibility, etc | Joseph P.S. Kung, Gian-Carlo Rota, Catherine H. Yan. |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2009. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xii, 396 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | Cambridge mathematical library |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Sets, Functions, and Relations. Sets, valuations, and Boolean algebras -- |
| -- | Partially ordered sets -- |
| -- | Lattices -- |
| -- | Functions, partitions, and entropy -- |
| -- | Relations -- |
| -- | Matching Theory. What is matching theory? -- |
| -- | The marriage theorem -- |
| -- | Free and incidence matrices -- |
| -- | Submodular functions and independent matchings -- |
| -- | Rado's theorem on subrelations -- |
| -- | Doubly stochastic matrices -- |
| -- | The Gale-Ryser theorem -- |
| -- | Matching theory in higher dimensions -- |
| -- | Partially Ordered Sets and Lattices. Möbius functions -- |
| -- | Chains and antichains -- |
| -- | Sperner theory -- |
| -- | Modular and linear lattices -- |
| -- | Finite modular and geometric lattices -- |
| -- | Valuation rings and Möbius algebras -- |
| -- | Generating Functions and the Umbral Calculus. Generating functions -- dt Elementary umbral calculus -- |
| -- | Polynomial sequences of binomial type -- |
| -- | Sheffer sequences -- |
| -- | Umbral composition and connection matrices -- |
| -- | The Riemann zeta function -- |
| -- | Symmetric Functions and Baxter Algebras. Symmetric functions -- |
| -- | Distribution, occupancy, and the partition lattice -- |
| -- | Enumeration under a group action -- |
| -- | Baxter operators -- |
| -- | Free Baxter algebras -- |
| -- | Identities in Baxter algebras -- |
| -- | Symmetric functions over finite fields -- |
| -- | Historical remarks and further reading -- |
| -- | Determinants, Matrices, and Polynomials. Polynomials -- |
| -- | Apolarity -- |
| -- | Grace's theorem -- |
| -- | Multiplier sequences -- |
| -- | Totally positive matrices -- |
| -- | Exterior algebras and compound matrices -- |
| -- | Eigenvalues of totally positive matrices -- |
| -- | Variation decreasing matrices -- |
| -- | Pólya frequency sequences -- |
| -- | Selected Solutions. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Gian-Carlo Rota was one of the most original and colourful mathematicians of the 20th century. His work on the foundations of combinatorics focused on the algebraic structures that lie behind diverse combinatorial areas, and created a new area of algebraic combinatorics. Written by two of his former students, this book is based on notes from his influential graduate courses and on face-to-face discussions. Topics include sets and valuations, partially ordered sets, distributive lattices, partitions and entropy, matching theory, free matrices, doubly stochastic matrices, Moebius functions, chains and antichains, Sperner theory, commuting equivalence relations and linear lattices, modular and geometric lattices, valuation rings, generating functions, umbral calculus, symmetric functions, Baxter algebras, unimodality of sequences, and location of zeros of polynomials. Many exercises and research problems are included, and unexplored areas of possible research are discussed. A must-have for all students and researchers in combinatorics and related areas. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Combinatorial analysis. |
| 600 10 - SUBJECT ADDED ENTRY--PERSONAL NAME | |
| Personal name | Rota, Gian-Carlo, |
| Dates associated with a name | 1932-1999. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Rota, Gian-Carlo, |
| Dates associated with a name | 1932-1999, |
| Relator term | author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Yan, Catherine H., |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521883894 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Cambridge mathematical library. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511803895">https://doi.org/10.1017/CBO9780511803895</a> |
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