1 option
Winning ways for your mathematical plays / Elwyn R. Berlekamp, John H. Conway, Richard K. Guy.
- Format:
- Book
- Author/Creator:
- Berlekamp, Elwyn R.
- Series:
- AK Peters/CRC Recreational Mathematics Series
- Language:
- English
- Subjects (All):
- Mathematical recreations.
- Physical Description:
- 1 online resource (262 pages) : illustrations
- Edition:
- 2nd ed.
- Place of Publication:
- Natick, Mass. : A.K. Peters, c2001-c2004.
- Summary:
- 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.
- Contents:
- 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
- KOs in Go
- 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
- Were Your Ways Winning Enough?
- Did You Move First in Horsefly?
- 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.
- Notes:
- Vol. 4 published in Wellesley, Mass.
- Includes bibliographical references and indexes.
- Description based on online resource; title from PDF title page (EBC, viewed November 13, 2023).
- ISBN:
- 1-56881-559-X
- 0-429-48732-0
- 1-56881-595-6
- 0-429-94560-4
- 0-429-94556-6
- 9780429487323
- OCLC:
- 1041070216
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.