Algebraic combinatorics on words / (Record no. 518386)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03655nam a22003738i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9781107326019 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160239.0 |
| 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 | 130129s2002||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781107326019 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521812207 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521180719 (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 | .L65 2002 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511/.6 |
| Edition number | 21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Lothaire, M., |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Algebraic combinatorics on words / |
| Statement of responsibility, etc | M. Lothaire. |
| 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 | 2002. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xiii, 504 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 | Encyclopedia of mathematics and its applications ; |
| Volume number/sequential designation | volume 90 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Finite and Infinite Words -- |
| -- | Semigroups -- |
| -- | Words -- |
| -- | Automata -- |
| -- | Generating series -- |
| -- | Symbolic dynamical systems -- |
| -- | Unavoidable sets -- |
| -- | Sturmian Words -- |
| -- | Equivalent definitions -- |
| -- | Standard words -- |
| -- | Sturmian morphisms -- |
| -- | Unavoidable Patterns -- |
| -- | Definitions and basic properties -- |
| -- | Deciding avoidability: the Zimin algorithm -- |
| -- | Avoidability on a fixed alphabet -- |
| -- | Sesquipowers -- |
| -- | Bi-ideal sequences -- |
| -- | Canonical factorizations -- |
| -- | Sesquipowers and recurrence -- |
| -- | Extensions of a theorem of Shirshov -- |
| -- | Finiteness conditions for semigroups -- |
| -- | The Plactic Monoid -- |
| -- | Schensted's algorithm -- |
| -- | Greene's invariants and the plactic monoid -- |
| -- | The Robinson--Schensted--Knuth correspondence -- |
| -- | Schur functions and the Littlewood--Richardson rule -- |
| -- | Coplactic operations -- |
| -- | Cyclage and canonical embeddings -- |
| -- | Codes -- |
| -- | X-factorizations -- |
| -- | Defect -- |
| -- | More defect -- |
| -- | A theorem of Schutzenberger -- |
| -- | Numeration Systems -- |
| -- | Standard representation of numbers -- |
| -- | Beta-expansions -- |
| -- | U-representations -- |
| -- | Representation of complex numbers -- |
| -- | Periodicity -- |
| -- | Periods in a finite word -- |
| -- | Local versus global periodicity -- |
| -- | Infinite words -- |
| -- | Centralizers of Noncommutative Series and Polynomials -- |
| -- | Cohn's centralizer theorem -- |
| -- | Euclidean division and principal right ideals -- |
| -- | Integral closure of the centralizer -- |
| -- | Homomorphisms into k[t] -- |
| -- | Bergman's centralizer theorem -- |
| -- | Free subalgebras and the defect theorem -- |
| -- | Appendix: some commutative algebra -- |
| -- | Transformations on Words and q-Calculus -- |
| -- | The q-binomial coefficients -- |
| -- | The MacMahon Verfahren. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Combinatorics on words has arisen independently within several branches of mathematics, for instance number theory, group theory and probability, and appears frequently in problems related to theoretical computer science. The first unified treatment of the area was given in Lothaire's book Combinatorics on Words. Originally published in 2002, this book presents several more topics and provides deeper insights into subjects discussed in the previous volume. An introductory chapter provides the reader with all the necessary background material. There are numerous examples, full proofs whenever possible and a notes section discussing further developments in the area. This book is both a comprehensive introduction to the subject and a valuable reference source for researchers. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Combinatorial analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Word problems (Mathematics) |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521812207 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Encyclopedia of mathematics and its applications ; |
| Volume number/sequential designation | v. 90. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9781107326019">https://doi.org/10.1017/CBO9781107326019</a> |
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