Zeta Functions of Graphs : (Record no. 37244)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02223nam a22003377a 4500 |
| 001 - CONTROL NUMBER | |
| control field | sulb-eb0015400 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | BD-SySUS |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20160405134433.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100506s2010||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511760426 (ebook) |
| Canceled/invalid ISBN | 9780521113670 (hardback) |
| 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 | QA166 |
| Item number | .T47 2011 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511/.5 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Terras, Audrey, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Zeta Functions of Graphs : |
| Remainder of title | A Stroll through the Garden / |
| Statement of responsibility, etc. | Audrey Terras. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Cambridge : |
| Name of producer, publisher, distributor, manufacturer | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2010. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (252 pages) : |
| Other physical details | digital, PDF file(s). |
| 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 |
| 490 0# - SERIES STATEMENT | |
| Series statement | Cambridge Studies in Advanced Mathematics ; |
| Volume/sequential designation | 128 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 04 Apr 2016). |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes in several variables. Analogies abound with number-theoretic functions such as Riemann/Dedekind zeta functions. For example, there is a Riemann hypothesis (which may be false) and prime number theorem for graphs. Explicit constructions of graph coverings use Galois theory to generalize Cayley and Schreier graphs. Then non-isomorphic simple graphs with the same zeta are produced, showing you cannot hear the shape of a graph. The spectra of matrices such as the adjacency and edge adjacency matrices of a graph are essential to the plot of this book, which makes connections with quantum chaos and random matrix theory, plus expander/Ramanujan graphs of interest in computer science. Created for beginning graduate students, the book will also appeal to researchers. Many well-chosen illustrations and exercises, both theoretical and computer-based, are included throughout. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Graph theory |
| Topical term or geographic name as entry element | Functions, Zeta |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| International Standard Book Number | 9780521113670 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Cambridge Studies in Advanced Mathematics ; |
| Volume number/sequential designation | 128. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1017/CBO9780511760426">http://dx.doi.org/10.1017/CBO9780511760426</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | |
No items available.