Mathematics in games, sports, and gambling : the games people play
2016,
Book
, xxiii, 354 pages :
Place Hold
3548500
No summary currently available.
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Details
Full Bibliographic Record
| Publication information: |
Boca Raton : CRC Press, Taylor & Francis Group, [2016] |
| Copyright: |
©2016 |
| ISBN: |
9781498719520 |
| Language: |
English |
| Record ID: |
3548500 |
| Full edition title: |
Second edition. |
| Format: |
Regular Print Book |
| Physical description: |
xxiii, 354 pages : illustrations ; 24 cm. |
| Date acquired: |
June 23, 2017
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| More creator details: |
Ronald J. Gould, Emory University, Atlanta, Georgia, U.S.A. |
| Series statement: |
Textbooks in mathematics |
| Series title: |
Textbooks in mathematics. |
| General note: |
"A Chapman & Hall book." |
| Contents note: |
1. Basic probability -- Introduction -- Of dice and men -- Probability -- The laws that govern us -- Dependent events -- Poker hands versus batting orders -- Let's play for money! -- Is that fair? -- The odds are against us -- Things vary -- Conditional expectation -- 2. The game's afoot -- Applications to games -- Counting and probability in poker hands -- Roulette -- Craps -- Street craps -- Casino craps -- Other bets -- Let's make a deal : the Monty Hall problem -- Carnival games -- Other casino games -- Caribbean stud poker -- Keno -- Blackjack -- Backgammon -- Hitting blots -- Off the bar -- Bearing off -- Doubling -- 3. Repeated play -- Introduction -- Binomial coefficients -- The binomial distribution -- The Poisson distribution -- Streaks : are they real? -- Betting strategies -- The gambler's ruin -- 4. Card tricks and more -- Introduction -- The five-card trick -- Adding a joker to the deck -- More variations of the trick -- The two-deck matching game -- More tricks -- Friends find each other -- The small arithmetic trick -- The nine-card trick -- The paintball wars -- 5. Dealing with Data -- Introduction -- Batting averages and Simpson's paradox -- NFL passer ratings -- Viewing data : simple graphs -- Time plots and regression lines -- When to find the regression line -- Confidence in out estimates -- Measuring differences in performance -- Coefficient of variation -- Relative performance -- 6. Testing and relationships -- Introduction -- Suzuki versus Pujols -- I'll decide if I believe that -- Errors -- Summary of hypothesis testing -- One-sided tests -- Small sample sizes -- Are the old adages true? -- Home field advantage -- Lefty versus righty -- How good are certain measurements -- Batting average and runs scored -- Arguing over outstanding performances -- A last look at comparisons -- Small sample comparisons -- 7. Games and puzzles -- Introduction -- Number arrays -- Magic squares -- Variations of magic squares -- Sudoku -- The Tower of Hanoi -- Finding solutions -- Bicolored Tower of Hanoi -- The Derangement Tower of Hanoi -- Instant insanity -- Lights out -- Peg games -- English board -- Triangular peg solitaire -- Puzzles on the chessboard -- Chessboards and dominoes : tilings -- Guarini's problem -- Martin Gardner's No 3-in-a-line problem -- The knight's tour -- Domination and independence -- Attacking placements and independence -- 8. Combinatorial games -- Introduction to combinatorial games -- Subtraction games -- Nim -- Poker nim -- Moore's nim -- Other games -- Games as digraphs -- Sums of games -- The sprague-grundy function -- More about impartial games -- Blue-red hackenbush -- Green hackenbush -- Pruning green hackenbush trees -- Games as numbers -- More about numbers -- 9. Appendix -- Review of elementary set theory -- Relations and functions -- Fuctions -- Standard normal distribution table -- Student's t-Distribution -- Solutions to problems -- Solutions to selected exercises. |
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