MARC details
| 000 -LEADER |
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05361nam a2200397Ki 4500 |
| 001 - CONTROL NUMBER |
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ocn857769768 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240726105417.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
130909s2008 enka ob 000 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NT |
| Description conventions |
rda |
| -- |
pn |
| Language of cataloging |
eng |
| Transcribing agency |
NT |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781461941460 |
| Qualifying information |
|
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA269 |
| Item number |
.C663 2008 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
NTA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Beck, József. |
| Relator term |
Author |
| 245 10 - TITLE STATEMENT |
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| Title |
Combinatorial games : |
| Remainder of title |
tic-tac-toe theory / |
| Statement of responsibility, etc. |
József Beck. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Cambridge : |
| Name of publisher, distributor, etc. |
Cambridge University Press, |
| Date of publication, distribution, etc. |
(c)2008. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (xiv, 732 pages) : |
| Other physical details |
illustrations. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
data file |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Encyclopedia of mathematics and its applications ; |
| Volume # |
volume 114 |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
part A. Weak win and strong draw -- |
| Title |
chapter I. Win vs. weak win -- |
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Illustration : every finite point set in the plane is a weak winner -- |
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Analyzing the proof of theorem 1.1 -- |
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Examples : tic-tac-toe games -- |
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More examples : tic-tac-toe like games -- |
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Games on hypergraphs, and the combinatorial chaos -- |
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chapter II. The main result : exact solutions for infinite classes of games -- |
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Ramsey theory and clique games -- |
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Arithmetic progressions -- |
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Two-dimensional arithmetic progressions -- |
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Explaining the exact solutions : a meta-conjecture -- |
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Potentials and the Erdős-Selfridge theorem -- |
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Local vs. global -- |
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Ramsey theory and hypercube tic-tac-toe -- |
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part B. Basic potential technique : game-theoretic first and second moments -- |
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chapter III. Simple applications -- |
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Easy building via theorem 1.2 -- |
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Games beyond Ramsey theory -- |
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A generalization of Kaplansky's game -- |
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chapter IV. Games and randomness -- |
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Discrepancy games and the variance -- |
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Biased discrepancy games : when the extension from fair to biased works! -- |
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A simple illustration of "randomness" (I) -- |
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A simple illustration of "randomness" (II) -- |
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Another illustration of "randomness" in games. |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
part C. Advanced weak win : game-theoretic higher moment -- |
| Title |
chapter V. Self-improving potentials -- |
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Motivating the probabilistic approach -- |
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Game-theoretic second moment : application to the picker-choose game -- |
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Weak win in the lattice games -- |
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Game-theoretic higher moments -- |
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Exact solution of the clique game (I) -- |
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More applications -- |
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Who-scores-more games -- |
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chapter VI. What is the biased meta-conjecture, and why is it so difficult? -- |
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Discrepancy games (I) -- |
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Discrepancy games (II) -- |
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Biased games (I) : biased meta-conjecture -- |
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Biased games (II) : sacrificing the probabilistic intuition to force negativity -- |
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Biased games (III) : sporadic results -- |
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Biased games (IV) : more sporadic results -- |
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part D. Advanced strong draw : game-theoretic independence -- |
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chapter VII. BigGame-SmallGame decomposition -- |
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The Hales-Jewett conjecture -- |
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Reinforcing the Erdős-Selfridge technique (I) -- |
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Reinforcing the Erdős-Selfridge technique (II) -- |
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Almost disjoint hypergraphs -- |
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Exact solution of the clique game (II). |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
chapter VIII. Advanced decomposition -- |
| Title |
Proof of the second ugly theorem -- |
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Breaking the "square-root barrier" (I) -- |
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Breaking the "square-root barrier" (II) -- |
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Van der Waerden game and the RELARIN technique -- |
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chapter IX. Game-theoretic lattice-numbers -- |
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Winning planes : exact solution -- |
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Winning lattices : exact solution -- |
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I-can-you-can't games -- |
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second player's moral victory -- |
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chapter X. Conclusion -- |
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More exact solutions and more partial results -- |
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Miscellany (I) -- |
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Miscellany (II) -- |
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Concluding remarks -- |
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Appendix A : Ramsey numbers -- |
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Appendix B : Hales-Jewett theorem : Shelah's proof -- |
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Appendix C : A formal treatment of positional games -- |
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Appendix D : An informal introduction to game theory. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographical references. |
| 520 1# - SUMMARY, ETC. |
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| Summary, etc. |
"Traditional game theory has been successful at developing strategy in games of incomplete information: when one player knows something that the other does not. But it has little to say about games of complete information, for example, tic-tac-toe, solitaire, and hex. This is the subject of combinatorial game theory. Most board games are a challenge for mathematics: to analyze a position one has to examine the available options, and then the further options available after selecting any option, and so on. This leads to combinatorial chaos, where brute force study is impractical." "In this comprehensive volume, Jozsef Beck shows readers how to escape from the combinatorial chaos via the fake probabilistic method, a game-theoretic adaptation of the probabilistic method in combinatorics. Using this, the author is able to determine the exact results about infinite classes of many games, leading to the discovery of some striking new duality principles."--BOOK JACKET. |
| 530 ## - COPYRIGHT INFORMATION: |
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| COPYRIGHT INFORMATION |
COPYRIGHT NOT covered - Click this link to request copyright permission: |
| Uniform Resource Identifier |
<a href="b">b</a> |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Game theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Combinatorial analysis. |
| 655 #1 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic Books. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=616988&site=eds-live&custid=s3260518">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=616988&site=eds-live&custid=s3260518</a> |
| -- |
Click to access digital title | log in using your CIU ID number and my.ciu.edu password |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) |
| DONATED BY: |
|
| VENDOR |
EBSCO |
| Classification part |
QA |
| PUBLICATION YEAR |
2008 |
| LOCATION |
ONLINE |
| REQUESTED BY: |
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NFIC |
| Source of classification or shelving scheme |
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| 994 ## - |
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02 |
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NT |
| 902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
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| a |
1 |
| b |
Cynthia Snell |
| c |
1 |
| d |
Cynthia Snell |