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Winning ways for your mathematical plays. Volume 3

Author: Elwyn R Berlekamp; John H Conway; Richard K Guy
Publisher: [Boca Raton] : [CRC Press], [2018] ©2003
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
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. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Elwyn R Berlekamp; John H Conway; Richard K Guy
ISBN: 9780429945571 0429945574 9780429945618 0429945612
OCLC Number: 1035845311
Notes: First published: Natick, Mass. : A.K. Peters, 2003.
Description: 1 online resource
Contents: Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface to the Second Edition; Preface to the Original Edition; Games in Clubs!; 14 Turn and Turn About; Turning Turtles; Mock Turtles; Odious and Evil Numbers; Moebius, Mogul and Gold Moidores; The Mock Turtle Theorem; Why Moebius?; Mogul; Motley; Twins, Triplets, Etc.; The Ruler Game; Circumscribed Games; Turnips (or Ternups); Grunt; Sym; Two-Dimensional Turning Games; Acrostic Twins; Turning Corners; Nim-Multiplication; Swirling Tartans; The Tartan Theorem; Rugs, Carpets, Windows and Doors; Acrostic Games Stripping and StreakingUglification and Derision; Unlocking Doors; Sparring, Boxing and Fencing; "Coins" (or Heaps) with Infinitely Many (or 22N) ""Sides; References and Further Reading; 15 Chips and Strips; The Silver Dollar Game; Profit from Gaming Tables; Antonim; Synonim; Simonim; Staircase Fives; Twopins (pronounced "Tuppins"); Cram; Welter's Game; Four-Coin Welter is Just Nim; And So's Three-Coin Welter!; The Congruence Modulo 16; Frieze Patterns; Inverting the Welter Function; The Abacus Positions; The Abacus Strategy; The Misère Form of Welter's Game; Kotzig's Nim; Fibonacci Nim More Generally Bounded NimEpstein's Put-or-Take-a-Square Game; Tribulations and Fibulations; Third One Lucky; Hickory, Dickory, Dock; D.U.D.E.N.E.Y; Strings of Pearls; Schuhstrings; The Princess and the Roses; One-Step, Two-Step; More on Subtraction Games; Smallest Nim, Largest Nim; Moore's Nimk; The More the Merrier; Moore and More; Not with a Bang but a Whim; Did You Win the Silver Dollar?; How Was Your Arithmetic?; In Put-or-Take-a-Square , 92 Is an N-Position; Tribulations and Fibulations; Our Code of Behavior for Princes; References and Further Reading; 16 Dots-and-Boxes Double-Dealing Leads to Double-CrossesHow Long Is ''Long''?; The 4-Box Game; The 9-Box Game; The 16-Box Game; Other Shapes of Board; Dots-and-Boxes and Strings-and-Coins; Nimstring; Why Long Is Long; To Take or Not to Take a Coin in Nimstring; Sprague-Grundy Theory for Nimstring Graphs; All Long Chains Are the Same; Which Mutations Are Harmless?; Chopping and Changing; Vines; Dots + Doublecrosses = Turns; How Dodie Can Win the 4-Box Game; When Is it Best to Lose Control?; Computing the Values of Vines; Loony Endgames Are NP-Hard; Solutions to Dots-and-Boxes Problems Some More Nimstring ValuesNimbers for Nimstring Arrays; References and Further Reading; 17 Spots and Sprouts; Rims; Rails; Loops-and-Branches; Contours; Lucasta; A Child's Guide to Normal Lucasta; The Misère Form of Lucasta; The Positions (7, 3, 1) and (11, 1, 1); Cabbages; or Bugs, Caterpillars and Cocoons; Jocasta; Sprouts; Brussels Sprouts; Stars-and-Stripes; Bushenhack; Genetic Codes for Nim; Bushenhack Positions Have Genetic Codes!; Von Neumann Hackenbush; The Joke in Jocasta; The Worm in Brussels Sprouts; Bushenhack; References and Further Reading; 18 The Emperor and His Money
Responsibility: Elwyn R. Berlekamp, John H. Conway, Richard K. Guy.

Abstract:

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. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure. In Volume 3, the authors examine Games played in Clubs, giving case studies for coin and paper-and-pencil games, such as Dots-and-Boxes and Nimstring. From the Table of Contents: - Turn and Turn About - Chips and Strips - Dots-and-Boxes - Spots and Sprouts - The Emperor and His Money - The King and the Consumer - Fox and Geese; Hare and Hounds - Lines and Squares.

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" Second editions often pose a problem: are they new enough, different enough, to be worth getting even if one already owns the original edition? ... Winning Ways is still valuable, and it is just Read more...

 
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