راه‌های پیروزی برای بازی‌های ریاضی شما، جلد سوم (سری ریاضیات تفریحی AK Peters/CRC)

This is a text on mathematical games and how to play them intelligently. In this volume, the authors present a Diamond of a find, cover one-player games such as Solitaire, and ponder questions like What is life? Content: 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

The second edition of this recreational mathematics text, which was originally published in 1982, has been corrected and split into four volumes. This second volume explores strategies for playing combinatorial theory- based games that may continue indefinitely due to infinitely many positions or several consecutive moves, and games in which the last player is declared the loser. Annotation (c)2003 Book News, Inc., Portland, OR

Booknews

In this updated contribution to recreational maththe first of four planned volumes, Berlekamp (mathematics, electrical engineering/computer science, U. of California, Berkeley) and his merry math pranksters share combinatorics theory-based games and strategies to make such brainy games easier. Some color graphics enliven the many examples of such pastimes as Hackenbush, Toad vs. Frog, and Eatcake. Co-author Conway (mathematics, Princeton U.) invented the Game of Life computer simulation. Originally published 25 years ago. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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 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 - 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 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 2, the authors have a Change of Heart, bending the rules established in Volume 1 to apply them to games such as Cut-cake and Loopy Hackenbush. From the Table of Contents: - If You Can't Beat 'Em, Join 'Em! - Hot Bottles Followed by Cold Wars - Games Infinite and Indefinite - Games Eternal--Games Entailed - Survival in the Lost World 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 4, the authors present a Diamond of a find, covering one-player games such as Solitaire. This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This book has laid the foundation to a mathematical approach to playing games. The wise authors wield witty words, which wangle wonderfully winning ways. In Volume 1, the authors do the Spade Work, presenting theories and techniques to "dissect" games of varied structures and formats in order to develop winning strategies. This is a text on games and how to play them intelligently. In this volume, the authors examine games played in clubs, giving case studies for coin and paper-and-pencil games, such as Dots-and-Boxes and Nimstring. V. 1. Games In General -- V. 2. Games In Particular -- V. Games In Clubs --v. 4 Solitaire Diamonds! Elwyn R. Berlekamp, John H. Conway, Richard K. Guy. Includes Bibliographical References And Indexes. *Winning Ways for Your Mathematical Plays*: First edition divides the content into two volumes. Second edition is comprised of four volumes. This is the 2nd edition, volume 2. *Winning Ways for Your Mathematical Plays*: First edition divides the content into two volumes. Second edition is comprised of four volumes. This is the 2nd edition, volume 3. *Winning Ways for Your Mathematical Plays*: First edition divides the content into two volumes. Second edition is comprised of four volumes. This is the 2nd edition, volume 1. *Winning Ways for Your Mathematical Plays*: First edition divides the content into two volumes. Second edition is comprised of four volumes. This is the 2nd edition, volume 4. "These games, based on an idea of H.W. Lenstra, are similar in that they all involve turning things over, but we shall see that they call for a variety of strategies."