Winning Ways for Your Mathematical Plays, Volume 3

Elwyn R. Berlekamp

• Publisher: A K Peters/CRC Press
• Year: 2018
• ISBN:
  9780429945618
• Edition: 2
• Topic: Mathematics
• Subtopic: Mathematics General
• Index: Mathematics

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

Index to Volumes 1–3

ε = over

temperature, 706

1/on = over

abacus positions, 512–515

Abacus strategy, 513, 514

abnormal move, 325

absorbancy, downsum, 360

accounts-payable, 127

ace, 357

acrostic

games, 482, 485, 487

Mock Turtle Fives,, 487

product, 482, 483, 486

Turnips, 483

Twins, 487, 473, 474

action, in hottest game, 167

active postion, 149, 150

acute triangles, 254

Adams, E. W., 117

Adders = .73, 429, 444

Adders-and-Ladders, 386

addition

of Checkers, Chess, Domineering, Go, 757

of games, 31, 32

of loony games, 399

of loopy games, 390

of switches, 120

nim-, 58. 59, 73, 74, 90, 109, 110, 116, 199, 246, 390, 418, 473, 475, 476, 497, 498, 504, 507, 508, 510, 556, 558, 605, 606, 752

ordinal, 220

two kinds, 191

Additional Subtraction Games, 395

additives of no atomic weight, 225

adjacency matrix, 222

Air on a $\mathcal{G}$-string, 96

ajar, 408–410

Akin, E., 766

Albert, M., 690, 757, 763

Algorithm

Secondoff, 535, 537

Zeckendorf, 535

Alice in Wonderland, 1, 56, 57, 229, 461, 462

all small games, 229, 230, 757

All Square, 405

All the King’s Horses, 277–283, 286–289, 292–293

Allemang, Dean Thomas, 454

Allen, J. D., 764

Allis, L. V., 740, 764, 766, 767

almonds, 379, 393

also-ran, 286

alternating moves, 46, 47

Althöfer, I., 86, 117

altitude, 31, 693, 687–689, 692, 694, 702, 703, 705

altitude decrement, 700, 701, 703

exceptional, 704

amazing jungle, 208

Amazons, 15, 16, 756, 757, 761, 762

ambient temperature, 164, 168, 188

ambitious distraction, 483

ambivalent Nim-heaps, 426

Amendment, tactical, 697

anatomy of Toads-and-Frogs, 63

Andersson, Göran, 119

Anderson, William N., 767

angel, 643, 665

anger, fit of, 317

Animal Farm, 146

animals

dead, 135

Grundy’s wild 431

tame, 425–430

tracking, 202

annihilation games, 224

Anshelvich, Vadim V., 744, 767

Anthony, Piers, 607

Antipathetic Nim, 493, 494

A...

Table of 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
• 15 Chips and Strips
• 16 Dots-and-Boxes
• 17 Spots and Sprouts
• 18 The Emperor and His Money
• 19 The King and the Consumer
• 20 Fox and Geese
• 21 Hare and Hounds
• 22 Lines and Squares
• Index to Volumes 1–3