Winning ways for your mathematical plays / / Elwyn R. Berlekamp, John H. Conway, Richard K. Guy

• Autore: Berlekamp Elwyn R
• Pubblicazione: Natick, Mass., : A.K. Peters, c2001-c2004
• Edizione: 2nd ed.
• Descrizione fisica: 1 online resource (262 pages) : illustrations
• Disciplina: 793.7/4
• Soggetto topico: Mathematical recreations
• Altri autori: ConwayJohn Horton GuyRichard K
• Note generali: Vol. 4 published in Wellesley, Mass.
• Nota di bibliografia: Includes bibliographical references and indexes.
• Nota di contenuto: Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Preface to Second Edition -- Preface -- Change of Heart -- 9 If You Can't Beat 'Em, Join 'Em! -- All the King's Horses -- We Can Join Any Games -- How Remote Is a Horse? -- What If the First Horse to Get Stuck Wins? -- A Slightly Slower Join -- Moving Horses Impartially -- Cutting Every Cake -- Eatcakes -- When to Put Your Money on the Last Horse -- Slow Horses Join the Also-Rans -- Let Them Eat Cake -- All the King's Horses on a Quarter-Infinite Board -- Cutting Your Cakes and Eating Them -- References and Further Reading -- 10 Hot Battles Followed by Cold Wars -- Cold Games - Numbers Are Still Numbers -- Hot Games - The Battle Is Joined ! -- Tolls, Timers and Tallies -- Which Is the Best Option? -- Hot Positions -- Cold Positions -- Tepid Positions -- A Tepid Game -- Select Boys and Girls -- Mrs. Grundy -- How to Play Misère Unions of Partizan Games -- Urgent Unions (Shotgun Weddings?) -- Predeciders - Overriders and Suiciders -- Falada -- Two More Falada Games -- Baked Alaska -- A Felicitous Falada Field -- The Rules for Tallies on Infinite Tolls -- Time May Be Shorther than You Think! -- 11 Games Infinite and Indefinite -- Infinite Enders -- The Infinite Ordinal Numbers -- Other Numbers -- Infinite Nim -- The Infinite Sprague-Grundy and Smith Theories -- Some Superheavy Atoms -- Fixed, Mixed and Free -- Onsides and Offsides, Upsums and Downsums -- Stoppers -- on, off and dud -- How Big Is on? -- It's Bigger than All of Them! -- Sidling Towards a Game -- Sidling Picks Sides -- Stoppers Have Only One Side -- 'Tis!-'Tis n!-'Tis!-'Tis n!-... -- Loopy Hackenbush -- Disentangling Loopy Hackenbush -- Loopily Infinite Hackenbush -- Sisyphus -- Living with Loops -- Comparing Loopy Games -- The Swivel Chair Strategy -- Stoppers Are Nice -- Plumtrees Are Nicer!. ; Taking Care of Plumtrees -- Working With Upsums and Downsums -- on, off and hot -- A Summary of Some Sum Properties -- The House of Cards -- The Degree of Loopiness -- Classes and Varieties -- No Highway -- Backsliding Toads-and-Frogs -- Bach's Carousel -- Getting on in Checkers -- Proof of the Sidling Theorem -- Answer to Exercise One -- tis and tisn -- upon -- Backsliding Toads-and-Frogs -- KOs in Go -- References and Further Reading -- 12 Games Eternal - Games Entailed -- Fair Shares and Varied Pairs -- How Soon Can You Win? -- There May Be Open Positions (O-Positions) -- Adders-and-Ladders -- Just How Loopy Can You Get? -- Corrall Automotive Betterment Scheme -- Sharing Out Other Kinds of Nut -- Fair Shares and Unequal Partners -- Sweets and Nuts, and Maybe a Date? -- The Additional Subtraction Games -- Horsefly -- Selective and Subselective Compounds of Impartial Games -- Entailing Moves -- Sunny and Loony Positions -- Calculating with Entailed Values -- Nim with Entailing Moves -- Goldbach's Nim -- Wyt Queens with Trains -- Adding Tails to Prim and Dim -- Complimenting Moves -- On-the-Rails -- De Bono's L-Games -- Proving the Outcome Rules for Loopy Positions -- Fair Shares and Unequal Partners -- Were Your Ways Winning Enough? -- Did You Move First in Horsefly? -- References and Further Reading -- 13 Survival in the Lost World -- Misère Nim -- Reversible Moves -- The Endgame Proviso -- The Awful Truth -- What's Left of the Old Rules? -- As Easy as Two and Two? -- The Misère Form of Grundy's Game -- Animals and Their Genus -- What Can We With the Genus? -- Firm, Fickle and Tame -- Which Animals are Tame... -- ... and Which are Restive? -- Some Tame Animals in the Good Child's Zoo -- Misère Wyt Queens -- Jelly Beans and Lemon Drops -- Stalking Adders and Taking Squares -- ''But What if They're Wild?'' Asks the Bad Child -- Misère Kayles. ; The Noah's Ark Theorem -- The Half-Tame Theorem -- Guiles -- Dividing Rulers -- Dawson, Officers, Grundy -- All Subtraction Games Reduce to Nim -- Prim and Dim -- Proof of the Noah's Ark Theorem -- Misère Octal Games -- Notes -- Stop Press: Even More Games are Tameable! -- Glossary -- Index.
• Sommario/riassunto: In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games.
• Titolo autorizzato: Winning ways for your mathematical plays
• ISBN: 1-56881-559-X; 0-429-48732-0; 1-56881-595-6; 0-429-94560-4; 0-429-94556-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910956814703321
• Lo trovi qui: Univ. Federico II
• Serie: AK Peters/CRC Recreational Mathematics Series