Combinatorial Game Theory : : A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy / / ed. by Bruce M. Landman, Richard J. Nowakowski, Florian Luca, Melvyn B. Nathanson, Jaroslav Nešetřil, Aaron Robertson.
Elwyn Berlekamp, John Conway, and Richard Guy wrote ‘Winning Ways for your Mathematical Plays’ and turned a recreational mathematics topic into a full mathematical fi eld. They combined set theory, combinatorics, codes, algorithms, and a smattering of other fi elds, leavened with a liberal dose of h...
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| Year of Publication: | 2022 |
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Combinatorial Game Theory : A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy / ed. by Bruce M. Landman, Richard J. Nowakowski, Florian Luca, Melvyn B. Nathanson, Jaroslav Nešetřil, Aaron Robertson. Berlin ; Boston : De Gruyter, [2022] ©2022 1 online resource (XIV, 416 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Proceedings in Mathematics Frontmatter -- Preface -- Contents -- The game of flipping coins -- The game of blocking pebbles -- Transverse Wave: an impartial color-propagation game inspired by social influence and Quantum Nim -- A note on numbers -- Ordinal sums, clockwise hackenbush, and domino shave -- Advances in finding ideal play on poset games -- Strings-and-Coins and Nimstring are PSPACE-complete -- Partizan subtraction games -- Circular Nim games CN(7, 4) -- Misère domineering on 2 × n boards -- Relator games on groups -- Playing Bynum’s game cautiously -- Genetically modified games -- Game values of arithmetic functions -- A base-p Sprague–Grundy-type theorem for p-calm subtraction games: Welter’s game and representations of generalized symmetric groups -- Recursive comparison tests for dicot and dead-ending games under misère play -- Impartial games with entailing moves -- Extended Sprague–Grundy theory for locally finite games, and applications to random game-trees -- Grundy numbers of impartial three-dimensional chocolate-bar games -- On the structure of misère impartial games restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Elwyn Berlekamp, John Conway, and Richard Guy wrote ‘Winning Ways for your Mathematical Plays’ and turned a recreational mathematics topic into a full mathematical fi eld. They combined set theory, combinatorics, codes, algorithms, and a smattering of other fi elds, leavened with a liberal dose of humor and wit. Their legacy is a lively fi eld of study that still produces many surprises. Despite being experts in other areas of mathematics, in the 50 years since its publication, they also mentored, talked, and played games, giving their time, expertise, and guidance to several generations of mathematicians. This volume is dedicated to Elwyn Berlekamp, John Conway, and Richard Guy. It includes 20 contributions from colleagues that refl ect on their work in combinatorial game theory. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023) Combinatorial analysis. Game theory. Diskrete Mathematik. Kombinatorik. Mathematik. 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Bonato, Anthony, |
| title |
Combinatorial Game Theory : A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy / |
| spellingShingle |
Combinatorial Game Theory : A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy / De Gruyter Proceedings in Mathematics Frontmatter -- Preface -- Contents -- The game of flipping coins -- The game of blocking pebbles -- Transverse Wave: an impartial color-propagation game inspired by social influence and Quantum Nim -- A note on numbers -- Ordinal sums, clockwise hackenbush, and domino shave -- Advances in finding ideal play on poset games -- Strings-and-Coins and Nimstring are PSPACE-complete -- Partizan subtraction games -- Circular Nim games CN(7, 4) -- Misère domineering on 2 × n boards -- Relator games on groups -- Playing Bynum’s game cautiously -- Genetically modified games -- Game values of arithmetic functions -- A base-p Sprague–Grundy-type theorem for p-calm subtraction games: Welter’s game and representations of generalized symmetric groups -- Recursive comparison tests for dicot and dead-ending games under misère play -- Impartial games with entailing moves -- Extended Sprague–Grundy theory for locally finite games, and applications to random game-trees -- Grundy numbers of impartial three-dimensional chocolate-bar games -- On the structure of misère impartial games |
| title_sub |
A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy / |
| title_full |
Combinatorial Game Theory : A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy / ed. by Bruce M. Landman, Richard J. Nowakowski, Florian Luca, Melvyn B. Nathanson, Jaroslav Nešetřil, Aaron Robertson. |
| title_fullStr |
Combinatorial Game Theory : A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy / ed. by Bruce M. Landman, Richard J. Nowakowski, Florian Luca, Melvyn B. Nathanson, Jaroslav Nešetřil, Aaron Robertson. |
| title_full_unstemmed |
Combinatorial Game Theory : A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy / ed. by Bruce M. Landman, Richard J. Nowakowski, Florian Luca, Melvyn B. Nathanson, Jaroslav Nešetřil, Aaron Robertson. |
| title_auth |
Combinatorial Game Theory : A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy / |
| title_alt |
Frontmatter -- Preface -- Contents -- The game of flipping coins -- The game of blocking pebbles -- Transverse Wave: an impartial color-propagation game inspired by social influence and Quantum Nim -- A note on numbers -- Ordinal sums, clockwise hackenbush, and domino shave -- Advances in finding ideal play on poset games -- Strings-and-Coins and Nimstring are PSPACE-complete -- Partizan subtraction games -- Circular Nim games CN(7, 4) -- Misère domineering on 2 × n boards -- Relator games on groups -- Playing Bynum’s game cautiously -- Genetically modified games -- Game values of arithmetic functions -- A base-p Sprague–Grundy-type theorem for p-calm subtraction games: Welter’s game and representations of generalized symmetric groups -- Recursive comparison tests for dicot and dead-ending games under misère play -- Impartial games with entailing moves -- Extended Sprague–Grundy theory for locally finite games, and applications to random game-trees -- Grundy numbers of impartial three-dimensional chocolate-bar games -- On the structure of misère impartial games |
| title_new |
Combinatorial Game Theory : |
| title_sort |
combinatorial game theory : a special collection in honor of elwyn berlekamp, john h. conway and richard k. guy / |
| series |
De Gruyter Proceedings in Mathematics |
| series2 |
De Gruyter Proceedings in Mathematics |
| publisher |
De Gruyter, |
| publishDate |
2022 |
| physical |
1 online resource (XIV, 416 p.) Issued also in print. |
| contents |
Frontmatter -- Preface -- Contents -- The game of flipping coins -- The game of blocking pebbles -- Transverse Wave: an impartial color-propagation game inspired by social influence and Quantum Nim -- A note on numbers -- Ordinal sums, clockwise hackenbush, and domino shave -- Advances in finding ideal play on poset games -- Strings-and-Coins and Nimstring are PSPACE-complete -- Partizan subtraction games -- Circular Nim games CN(7, 4) -- Misère domineering on 2 × n boards -- Relator games on groups -- Playing Bynum’s game cautiously -- Genetically modified games -- Game values of arithmetic functions -- A base-p Sprague–Grundy-type theorem for p-calm subtraction games: Welter’s game and representations of generalized symmetric groups -- Recursive comparison tests for dicot and dead-ending games under misère play -- Impartial games with entailing moves -- Extended Sprague–Grundy theory for locally finite games, and applications to random game-trees -- Grundy numbers of impartial three-dimensional chocolate-bar games -- On the structure of misère impartial games |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>09432nam a22013215i 4500</leader><controlfield tag="001">9783110755411</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230502090707.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230502t20222022gw fo d z eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2022934372</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110755411</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110755411</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)586041</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1340959806</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="050" ind1="0" ind2="0"><subfield code="a">QA269</subfield><subfield code="b">.C595 2022</subfield></datafield><datafield tag="245" ind1="0" ind2="0"><subfield code="a">Combinatorial Game Theory :</subfield><subfield code="b">A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy /</subfield><subfield code="c">ed. by Bruce M. Landman, Richard J. Nowakowski, Florian Luca, Melvyn B. Nathanson, Jaroslav Nešetřil, Aaron Robertson.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2022]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2022</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (XIV, 416 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">De Gruyter Proceedings in Mathematics</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">The game of flipping coins -- </subfield><subfield code="t">The game of blocking pebbles -- </subfield><subfield code="t">Transverse Wave: an impartial color-propagation game inspired by social influence and Quantum Nim -- </subfield><subfield code="t">A note on numbers -- </subfield><subfield code="t">Ordinal sums, clockwise hackenbush, and domino shave -- </subfield><subfield code="t">Advances in finding ideal play on poset games -- </subfield><subfield code="t">Strings-and-Coins and Nimstring are PSPACE-complete -- </subfield><subfield code="t">Partizan subtraction games -- </subfield><subfield code="t">Circular Nim games CN(7, 4) -- </subfield><subfield code="t">Misère domineering on 2 × n boards -- </subfield><subfield code="t">Relator games on groups -- </subfield><subfield code="t">Playing Bynum’s game cautiously -- </subfield><subfield code="t">Genetically modified games -- </subfield><subfield code="t">Game values of arithmetic functions -- </subfield><subfield code="t">A base-p Sprague–Grundy-type theorem for p-calm subtraction games: Welter’s game and representations of generalized symmetric groups -- </subfield><subfield code="t">Recursive comparison tests for dicot and dead-ending games under misère play -- </subfield><subfield code="t">Impartial games with entailing moves -- </subfield><subfield code="t">Extended Sprague–Grundy theory for locally finite games, and applications to random game-trees -- </subfield><subfield code="t">Grundy numbers of impartial three-dimensional chocolate-bar games -- </subfield><subfield code="t">On the structure of misère impartial games</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Elwyn Berlekamp, John Conway, and Richard Guy wrote ‘Winning Ways for your Mathematical Plays’ and turned a recreational mathematics topic into a full mathematical fi eld. They combined set theory, combinatorics, codes, algorithms, and a smattering of other fi elds, leavened with a liberal dose of humor and wit. Their legacy is a lively fi eld of study that still produces many surprises. Despite being experts in other areas of mathematics, in the 50 years since its publication, they also mentored, talked, and played games, giving their time, expertise, and guidance to several generations of mathematicians. This volume is dedicated to Elwyn Berlekamp, John Conway, and Richard Guy. It includes 20 contributions from colleagues that refl ect on their work in combinatorial game theory.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Combinatorial analysis.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Game theory.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Diskrete Mathematik.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Kombinatorik.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bonato, Anthony, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Burke, Kyle, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Carvalho, Alda, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Clow, Alexander, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Demaine, Erik D., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Diomidov, Yevhenii, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Duchêne, Eric, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dufour, Matthieu, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dwyer, Aaron, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ferland, Matthew, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Finbow, Stephen, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Fisher, Michael, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gates, Zachary, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gledel, Valentin, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Haff, L. 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