Course Materials 

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Review

• Exam I topics
• Exam II topics
• Presentation Rubric

History

• From MacTutor
• History of Recreational Math Thesis
• Mathematical games in Europe around the year 1000
• The History of Video Games - presentation
• The Mystery of Dürer’s Magic Square
• Early Puzzles

People (more below)

• Leonhard Euler (1707 - 1783)
• Charles Lutwidge Dodgson (1832-1898)
• Samuel Loyd (1841-1911)
• Walter William Rouse Ball (1850-1925)
• Henry Ernest Dudeney (1857-1930)
• Martin Gardner (1914-2010)
• Raymond Merrill Smullyan (1919-2017)
• Joseph Steven Madachy (1927-2014)
• Solomon Wolf Golomb (1932-2016)
• John Horton Conway (1937 - 2020)

Games

• Hex - laTeX style - https://www.ctan.org/tex-archive/macros/latex/contrib/hexgame/
• Board diagrams http://hexwiki.amecy.com/index.php/New_board_diagrams
• Prints http://www.hexboard.com/prints.htm
• Papers
• Nick's Mathematical Puzzles
• The Logic Puzzles of Henry Dudeney
• Turochamp
• Hamilton’s Icosian Game
• Chess Puzzles
• Backgammon, doubling the stakes, and Brownian motion
• Probabilities in the Game Monopoly
• Simulating Monopoly: Finding the Best Properties Using MATLAB
• Here's How to Win at Monopoly
• The mathematically proven winning strategy for 14 of the most popular games
• Nim
  • Play to win with Nim
  • How to win at Nim
  • Nim 3,4,5 Tree - Class PDF
  • Play at JLab
  • Program Nim
• Peg Solitaire Solution
• Oskar Morgenstern and the Game Theory
• Prisoner’s Dilemma-Introduction and Analysis (34:04)

Games of Chance

• History of Gambling
• The First Games of Chance
• A Brief Look at the History of Probability and Statistics
• Studies in the History of Probability and Statistics I. Dicing and Gaming
• July 1654: Pascal’s Letters to Fermat on the "Problem of Points"
• Probability, Gambling and the Origins of Risk Management
• Cardano, Gambling and the dawn of Probability Theory
• A Brief History of Random Numbers
• The Best Board Games of the Ancient World

Logic Puzzles

• https://www.ahapuzzles.com/logic/logic-puzzles/
• Einstein's Zebra Puzzle
• Einstein's Riddle
• The Hardest Logic Puzzle Ever
• Knights and Knaves
• Logic puzzles inspired by the books of Raymond M. Smullyan
• The puzzling and paradoxical worlds of Raymond Smullyan
• The Lady and the Tiger
  • Frank Stockton Story, 1882
  • Short Story Film 15:56
  • The Lady or The Tiger (1942) 8:19
  • The Lady, or the Tiger? by Frank R. Stockton - audio
  • The Math Mom puzzles
  • The lady or the tiger problem in Z3Prover
  • A General Method Of Solving Smullyan’s Puzzles
• Practice Truth Tables
  • Exercise Booklet:
  • Symbolic Logic and Proofs (Exercises)
  • A Note on Knights, Knaves, and Truth Tables - Different Notation
  • Solve puzzle problems using truth table - one example
  • Effective methods to solve Smullyan Knights and Knaves
• The Monte Carlo Lock
  • Class Notes PDF
  • Brute Force on 10 Letters - paper
  • All Solutions of the Mystery of the Monte Carlo Lock - paper

Mathematical Puzzles

• The monkey and the coconuts
• Pleacher's Collection

Geometric Puzzles

• Loyd Polyominoes
• A popular Chinese game: the Qi Qiao Tu, or Tangram
• The ingenious pieces of Sei Shonagon, Japanese tangram
• Stomachian Game, Timeline
• Chinese Puzzle Sets
• History from Logica Giochi
• Blog on Dissection Puzzles
• Free Mechanical 3D Puzzles
• Haberdasher's Puzzle: Problem 26
  • Maple Animation, 3D Print
• Make Your Own Hexaflexagons…and Snap Pictures of Them
  • Martin Gardner and Flexagons (2:03) part of (at 7:45)
  • Mystery and Magic of Mathematics: Martin Gardner and Friends (46:04)
    at 10:00 - game of life
  • https://www.flexagon.net/, how to make
  • The Story
• Rob's Puzzle Page

Graph Theory

• The Easiest Unsolved Problem in Graph Theory

Lewis Carroll/C. L. Dodgson

• Mathematics: Logic and Lewis Carroll
• Finding the day of the week, Article
• https://www.alice-in-wonderland.net/
• https://www.newscientist.com/article/mg20427391-600-alices-adventures-in-algebra-wonderland-solved/ - locked
• Eating and drinking in Alice's Adventures in Wonderland
• 'Alice's Adventures Under Ground', the original manuscript
• The White Knight: A Study of C. L. Dodgson (Lewis Carroll)
• Devlin - The Hidden Math Behind Alice in Wonderland
• Epic Alice: Lewis Carroll And The Homeric Tradition. A Thesis
• Alice's Adventures in Wonderland and the Mad Hidden Mathematical Satire of Dodgson's "Lewis Carroll"
• At the Intersection of Mathematics and Humor: Lewis Carroll's "Alices" and Symbolical Algebra
• Lewis Carroll Puzzles
• Riddles and Rhymes: The Logic of “Nonsense” in Alice’s Adventures in Wonderland
• Videos
  • Alice's Adventures in Wonderland - Audiobook
  • Who Wrote Alice In Wonderland? | The Secret World Of Lewis Carroll (55.57)
  • The Mathematical World of C.L. Dodgson (Lewis Carroll) (51:05)
  • Sincerely Yours: A Film About Lewis Carroll (25:00)
  • Lewis Carroll in Numberland (1:06:48)
  • Lewis Carroll documentary (1:13:24)

People

• Luca Pacioli (c. 1447-1517)
  • And that's renaissance magic ...
  • Luca Pacioli And His 1500 Book De Viribus Quantitatis
  • De Viribus Quantitatis, in Italian
• Charles L. Dodgson (1832–1898)
• Henry Ernest Dudeney (1857-1930)
• Samuel Loyd (1841-1911)
  • Sam Loyd site, movies
  • Chess Problems, Chess News
  • Sliding block puzzle
• Maurice Borisovich Kraitchik (1882-1957)
• Martin Gardner (1914-2010)
  • A Lifetime of Puzzles
  • Martin Gardner, Genius Of Recreational Mathematics - NPR
  • Martin Gardner and Flexagons (2:03)
  • Mystery and Magic of Mathematics: Martin Gardner and Friends (46:04)
• Raymond Smullyan (1919-2017)
  • On Carson, 1982 (12:21)
  • Lecture in 2008 (1:07:01)
  • This Film Needs No Title: A Portrait of Raymond Smullyan (26:07)
  • A Tribute to Raymond Smullyan (15:59)
  • Raymond Smullyan plays Bach - 2 (7:31)
  • For Martin Gardner and Friends Part 1 (14:47), Part 2 (14:57) (there's more!)
  • His Other Books
• John Horton Conway (1937-2020)
  • Scientific American tribute
  • Surreal Numbers - How playing games led to more numbers than ... (1:15:44)
  • Shipper's Dilemna (14:26) from 52 Puzzles
  • Inventing the Game of Life (11:04)
  • Game of Life Wiki, and simulations
    • https://conwaylife.com/
    • https://playgameoflife.com/
    • https://www.compadre.org/osp/EJSS/3577/12.htm
• David Singmaster (1938- )
  • Assorted Articles

Mathematical Magic

• https://www.youtube.com/user/STEMMathsMagic/videos

Videos

• Early Video Game History (1948 – 1972) - (9:30)
• Lewis Carroll's Math Puzzles (49:12)

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