Данная Антология базируется на отечественных переводах Мартина Гарднера, но преследует более цель познакомить с творчеством самого автора, а не с творчеством переводчиков.

Самое главное, что вы здесь найдете необычным, это разбивка глав по книгам. В России брали по 2-3 книги Гарднера и объединяли в одну. При этом некоторые главы просто пропускали из-за сложностей перевода. Иногда задачи заменяли на отечественные. Я потратил определенное время на восстановление оригинала.

Антология сделана для специалистов. Названия глав имеют английские экваваленты, а потому я вынужден был правильно переводить их на русский язык. Там где исправления в тексте, имеются сноски. Надеюсь, настоящим специалистам, которые выросли на книгах Мартина Гарднера, это будет интересно.

Entertaining Mathematical Puzzles

Part I Arithmetic Puzzles

The Colored Socks / Weighty Problem / The Silver Bar / The Three Cats / Mrs. Puffem's Cigarettes

Part II Money Puzzles

Second-Hand Scooter / Low Finance / No Change / Al's Allowance / Pick Your Pay

Part III Speed Puzzles

The Bicycles and the Fly / The Floating Hat / Round Trip / Airplane Paradox

Part IV Plane Geometry Puzzles

Corner to Corner / The Hindu and the Cat / Cutting the Pie / Where Does the Square Go?

Part V Solid Geometry Puzzles

Under the Band / The Third Line / The Painted Cubes / The Spotted Basketball

Part VI Game Puzzles

The Circle of Pennies / Fox and Goose / Bridg-It / Nim

Part VII Probability Puzzles

The Three Pennies / The Tenth Roll / Odds on Kings / Boys vs. Girls

Part VIII Topology Puzzles

The Five Bricks / Outside or Inside? ? The Two Knots / Reversing the Sweater

Part IX Miscellaneous Puzzles

The Five Tetrominoes / The Two Tribes / No Time for School / Time for Toast / The Three Neckties

Part X Tricky Puzzles

The New Ambidextrous Universe

  1. Mirrors
  2. Lineland and Flatland
  3. Solidland
  4. Magic
  5. Art, Music, Poetry, and Numbers
  6. Galaxies, Suns, and Planets
  7. Plants and Animals
  8. Asymmetry in Animals
  9. The Human Body
  10. The Sinistral Minority
  11. Crystals
  12. Molecules
  13. Carbon
  14. Living Molecules
  15. The Origin of Life
  16. The Origin of Asymmetry
  17. The Fourth Dimension
  18. The Ozma Problem
  19. Mach's Shock
  20. Parity
  21. Antiparticles
  22. The Fall of Parity
  23. Neutrinos
  24. Mr. Split
  25. The Fall of Time Invariance
  26. Where's the Antimatter?
  27. What Happened to the Monopoles?
  28. The Arrows of Time
  29. Entropy
  30. Time-Reversed Worlds
  31. Time-Reversed Persons and Particles
  32. Early Theories of Matter
  33. Spin
  34. Superstrings
  Further Readings, Answers to Exercises, Index

Mathematical Carnival
    (updated and revised from the 1975 edition)

  1. Optical Illusions
  2. Matches
  3. Spheres and Hyperspheres
  4. Patterns of Induction
  5. Elegant Triangles
  6. Random Walks and Gambling
  7. Random Walks on the Plane and in Space
  8. Boolean Algebra
  9. Can Machines Think?
  10. Cyclic Numbers
  11. Eccentric Chess and Other Problems
  12. Dominoes
  13. Fibonacci and Lucas Numbers
  14. Simplicity
  15. The Rotating Round Table and Other Problems
  16. Solar System Oddities
  17. Mascheroni Constructions
  18. The Abacus
  19. Palindromes: Words and Numbers
  20. Dollar Bills

  1. Wheels
  2. Diophantine Analysis and Fermat's Last Theorem
  3. The Knotted Molecule and Other Problems
  4. Alephs and Supertasks
  5. Nontransitive Dice and Other Probability Paradoxes
  6. Geometrical Fallacies
  7. The Combinatorics of Paper Folding
  8. A Set of Quickies
  9. Ticktacktoe Games
  10. Plaiting Polyhedrons
  11. The Game of Halma
  12. Advertising Premiums
  13. Salmon on Austin's Dog
  14. Nim and Hackenbush
  15. Golomb's Graceful Graphs
  16. Charles Addams' Skier and Other Problems
  17. Chess Tasks
  18. Slither, 3X+1, and Other Curious Questions
  19. Mathematical Tricks With Cards
  20. The Game of Life, Part I
  21. The Game of Life, Part II
  22. The Game of Life, Part III
  Name index

  1. Coincidence
  2. The Binary Gray Code
  3. Polycubes
  4. Bacon's Cipher
  5. Doughnuts: Linked and Knotted
  6. The Tour of the Arrows and Other Problems
  7. Napier's Bones
  8. Napier's Abacus
  9. Sim, Chomp and Racetrack
  10. Elevators
  11. Crossing Numbers
  12. Points Sets on the Sphere
  13. Newcomb's Paradox
  14. Reflections on Newcomb's Paradox
  15. Reverse the Fish and Other Problems
  16. Look-See Proof
  17. Worm Paths
  18. Waring's Problems
  19. Cram, Bynum and Quadraphage
  20. The I Ching
  21. The Laffer Curve
  Index of Names

  1. Riddles of the Sphinx
  2. Orecognition and the Mystic Seven
  3. On to Charmian
  4. Technology on Vzigs
  5. The Valley of Lost Things
  6. Around the Solar System
  7. The Stripe on Barberpolia
  8. The Road to Mandalay
  9. The Black Hole of Cal Cutter
  10. Science Fantasy Quiz
  11. The Barbers of Barberpolia
  12. It's All Done with Mirrors
  13. Satan and the Apple
  14. How's-that-again Flanagan
  15. Relativistically Speaking
  16. Bar Bets on the Bagel
  17. Catch the BEM
  18. Animal TTT
  19. Playing Safe on the Bagel
  20. Sex Among the Polyomans
  21. Inner Planets Quiz
  22. Puzzles in Flatland
  23. Dirac's Scissors
  24. Bull's-eyes and Pratfalls
  25. Flarp Flips Another Fiver
  26. Blues in the Night
  27. Again, How's That Again?
  28. Alice in Beeland
  29. Hustle Off to Buffalo
  30. Ray Palmer's Arcade
  31. Puzzle Flags on Mars
  32. The Vanishing Plank
  33. 987654321
  34. Time-reversed Worlds
  35. The Wisdom of Solomon
  36. Thang, the Planet Eater
  First Answers
  Second Answers
  Third Answers
  Fouth Answers

  1. Time Travel
  2. Hexes and Stars
  3. Tangrams, Part 1
  4. Tangrams, Part 2
  5. Nontransitive Paradoxes
  6. Combinatorial Card Problem
  7. Melody-Makling Machines
  8. Anamorphic Art
  9. The Rubber Rope and Other Problems
  10. Six Sensational Discoveries
  11. The Császár Polyhedron
  12. Dodgem and Other Simple Games
  13. Tiling with Convex Polygons
  14. Tiling with Polyominoes, Polyiamonds, and Polyhexes
  15. Curious Maps
  16. The Sixth Symbol and Other Problems
  17. Magic Squares and Cubes
  18. Block Packing
  19. Induction and Probability
  20. Catalan Numbers
  21. Fun with a Pocket Calculator
  22. Tree-Plant Problems
  Index of Names

  1. Penrose Tiling
  2. Penrose Tiling II
  3. Mandelbrot's Fractals
  4. Conway's Surreal Numbers
  5. Back from the Klondike and Other Problems
  6. The Oulipo
  7. The Oulipo II
  8. Wythoff's Nim
  9. Pool-Ball Triangles and Other problems
  10. Mathematical Induction and Colored Hats
  11. Negative Numbers
  12. Cutting Shapes into N Congruent Parts
  13. Trapdoor Ciphers
  14. Trapdoor Ciphers II
  15. Hyperbolas
  16. The New Eleusis
  17. Ramsey Theory
  18. From Burrs to Berrocal
  19. Sicherman Dice, the Kruskal Count and Other Curiosities
  20. Raymond Smullyan's Logic Puzzles
  21. The Return of Dr. Matrix
  Name Index

  Part One : Essays

1. The Ancient Mariner

2. The Mighty Casey

3. The Martian Chronicles

4. A Dreamer's Tales

5. The Computer as Scientist

6. Illusions of the Third Dimension

7. Kickshaws II

8. Seven Puzzle Poems

9. Slicing Pi into Millions

10. The Traveling Salesman

11. The Abacus

12. The Puzzles in Ulysses

13. The Fantasies of H.G. Wells

14. The Fantasies of G.K. Chesterton

15. The Fantasies of Lord Dunsany

16. Playing with Mathematics

  Part Two : Reviews

17. Polywater

18. Science in Ancient China

19. Great Experiments

20. Gardner's Why

21. How Science Self-Corrects

22. Some Trends in Mathematics

23. Comfort's Comforts

24. Calculating Prodigies

25. Arthur C. Clarke

26. Did Sherlock Holmes Meet Father Brown?

27. Richard Feynman

28. Physics: End of the Road?

29. W. V. Quine

30. Mitsumasa Anno

31. WAP,SAP, PAP, and FAP

32. Secrets of the Old One

33. Marvin Minsky's Theory of Mind

34. Order in Chaos

35. Infinity and Information

36. The Curious Mind of Allan Bloom

  1. White, Brown, and Fractal Music
  2. The Tinkly Temple Bells
  3. Mathematical Zoo
  4. Charles Sanders Peirce
  5. Twisted Prismatic Rings
  6. The Thirty Color Cubes
  7. Egyptian Fractions
  8. Minimal Sculpture
  9. Minimal Sculpture II
  10. Tangent Circles
  11. The Rotating Table and Other Problems
  12. Does Time Ever Stop? Can the Past Be Altered?
  13. Generalized Ticktacktoe
  14. Psychic Wonders and Probability
  15. Mathematical Chess Problems
  16. Douglas Hofstadter's Gödel, Escher, Bach
  17. Imaginary Numbers
  18. Pi and Poetry: Some Accidental Patterns
  19. More on Poetry
  20. Packing Squares
  21. Chaitin's Omega
  Name Index

  1. The Binary System
  2. Group Theory and Braids
  3. Eight Problems
  4. The Games and Puzzles of Lewis Caroll
  5. Paper Cutting
  6. Board Games
  7. Packing Spheres
  8. The Transcendental Number Pi
  9. Victor Eigen: Mathemagician
  10. The Four-Color Map Theorem
  11. Mr. Apollinax Visits New York
  12. Nine Problems
  13. Polyominoes and Fault-Free Rectangles
  14. Euler's Spoilers: The Discovery of an Order-10 Graeco-Latin Square
  15. The Ellipse
  16. The 24 Color Squares and the 30 Color Cubes
  17. H.S.M. Coxeter
  18. Bridg-it and Other Games
  19. Nine More Problems
  20. The Calculus of Finite Differences

  1. The Wonders of a Planiverse
  2. Bulgarian Solitaire and Other Seemingly Endless Tasks
  3. Fun with Eggs, Part I
  4. Fun with Eggs, Part II
  5. The Topology of Knots
  6. M-Pire Maps
  7. Directed Graphs and Cannibals
  8. Dinner Guests, Schoolgirls, and Handcuffed Prisoners
  9. The Monster and Other Sporadic Groups
  10. Taxicab Geometry
  11. The Power of the Pigeonhole
  12. Strong Laws of Small Primes
  13. Checker Recreations, Part I
  14. Checker Recreations, Part II
  15. Modulo Arithmetic and Hummer's Wicked Witch
  16. Lavinia Seeks a Room and Other Problems
  17. The Symmetry Creations of Scott Kim
  18. Parabolas
  19. Non-Euclidean Geometry
  20. Voting Mathematics
  21. A Toroidal Paradox and Other Problems
  22. Minimal Steiner Trees
  23. Trivalent Graphs, Snarks, and Boojums
  Index

Introduction

Part I   Evolution vs. Creationism

1. Did Adam and Eve Have Navels?

2. Phillip Johnson on Intelligent Desigh

Part II   Astronomy

3. Near-Earth Objects: Monsters of Doom?

4. The Star of Bethlehem

Part III   Physics

5. The Great Egg-Balancing Mystery

6. Zero-Point Energy and Harold Puthoff

7. David Bohm: The Guided Wave

Part IV   Medical Matters

8. Reflexology: To Stop a Toothache, Squeeze a Toe!

9. Urine Therapy

Part V   Psychology

10. Freud's Flawed Theory of Dreams

11. Post-Freudian Dream Theory

12. Jean Houston: New Age Guru

Part VI   Social Science

13. Is Cannibalism a Myth?

14. Alan Sokal's Hilarious Hoax

15. The Internet: A World Brain?

16. Carlos Castaneda and New Age Anthropology

Part VII   UFOs

17. Claiborne Pell, Senator from Outer Space

18. Courtney Brown's Preposterous Farsight

19. Heaven's Gate: The UFO Cult of Bo and Peep

Part VIII   More Fringe Science

20. Thomas Edison, Paranormalist

21. What's Going On at Temple University?

Part IX   Religion

22. Isaac Newton, Alchemist and Fundamentalist

23. Farrakhan, Cabala, Baha'i, and 19

24. The Numerology of Dr. Khalifa

25. The Religious Views of Stephen Jay Gould and Darwin

26. The Wandering Jew

27. The Second Coming

Part X   The Last World

28. Science and the Unknowable

Index