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E-grāmata: Will You Be Alive 10 Years from Now?: And Numerous Other Curious Questions in Probability

3.55/5 (22 ratings by Goodreads)
  • Formāts: 256 pages
  • Izdošanas datums: 24-Nov-2013
  • Izdevniecība: Princeton University Press
  • Valoda: eng
  • ISBN-13: 9781400848379
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Will You Be Alive 10 Years from Now?: And Numerous Other Curious Questions in ProbabilityPalielināt
  • Formāts: 256 pages
  • Izdošanas datums: 24-Nov-2013
  • Izdevniecība: Princeton University Press
  • Valoda: eng
  • ISBN-13: 9781400848379
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A collection of stimulating probability puzzles from bestselling math writer Paul Nahin

What are the chances of a game-show contestant finding a chicken in a box? Is the Hanukkah dreidel a fair game? Will you be alive ten years from now? These are some of the one-of-a-kind probability puzzles that popular math writer Paul Nahin offers in this lively and informative book. Nahin brings probability to life with colorful historical anecdotes and a unique puzzle-solving approach that illustrates many of the techniques mathematicians use to grapple with probability. He looks at classic puzzles—from Galileo's dice-tossing problem to a disarming dice puzzle that would have astonished even Newton—and presents a dozen challenge problems and twenty-five probability puzzlers. With wit and insight, Nahin demonstrates why seemingly simple probability problems can stump even the experts.

Recenzijas

"Genuinely captivating and surprising."Popular Science "A wonderful book for trained math lovers who enjoy the mental stimulation provided by a good mathematics puzzle."Harold D. Shane, Library Journal "Prolific mathematics author Nahin presents a series of thought-provoking probability questions designed to intrigue the reader."Choice "The author's infectious enthusiasm is evident here. . . . Students at various levels and other fans of mathematics will find much to engage their interest and challenge their minds."G. A. Heuer, Mathematical Reviews

Preface xv
Introduction: Classic Puzzles from the Past 1(29)
1.1 A Gambling Puzzle of Gombaud and Pascal
1(2)
1.2 Galileo's Dice Problem
3(1)
1.3 Another Gombaud-Pascal Puzzle
4(2)
1.4 Gambler's Ruin and De Moivre
6(4)
1.5 Monte Carlo Simulation of Gambler's Ruin
10(3)
1.6 Newton's Probability Problem
13(4)
1.7 A Dice Problem That Would Have Surprised Newton
17(1)
1.8 A Coin-Flipping Problem
18(3)
1.9 Simpson's Paradox, Radio-Direction Finding, and the Spaghetti Problem
21(9)
Challenge Problems
30(159)
1 Breaking Sticks
36(6)
1.1 The Problem
36(1)
1.2 Theoretical Analysis
36(2)
1.3 Computer Simulation
38(4)
2 The Twins
42(5)
2.1 The Problem
42(1)
2.2 Theoretical Analysis
43(1)
2.3 Computer Simulation
44(3)
3 Steve's Elevator Problem
47(5)
3.1 The Problem
47(1)
3.2 Theoretical Analysis by Shane Henderson
48(3)
3.3 Computer Simulation
51(1)
4 Three Gambling Problems Newton Would "Probably" Have Liked
52(10)
4.1 The Problems
52(2)
4.2 Theoretical Analysis 1
54(1)
4.3 Computer Simulation 1
55(2)
4.4 Theoretical Analysis 2
57(1)
4.5 Computer Simulation 2
58(1)
4.6 Theoretical Analysis 3
59(3)
5 Big Quotients---Part 1
62(4)
5.1 The Problem
62(1)
5.2 Theoretical Analysis
62(2)
5.3 Computer Simulation
64(2)
6 Two Ways to Proofread
66(4)
6.1 The Problem
66(1)
6.2 Theoretical Analysis
67(3)
7 Chain Letters That Never End
70(4)
7.1 The Problem
70(1)
7.2 Theoretical Analysis
70(4)
8 Bingo Befuddlement
74(5)
8.1 The Problem
74(1)
8.2 Computer Simulation
75(4)
9 Is Dreidel Fair?
79(4)
9.1 The Problem
79(1)
9.2 Computer Simulation
80(3)
10 Hollywood Thrills
83(4)
10.1 The Problem
83(1)
10.2 Theoretical Analysis
83(4)
11 The Problem of the n-Liars
87(3)
11.1 The Problem
87(1)
11.2 Theoretical Analysis
87(2)
11.3 Computer Simulation
89(1)
12 The Inconvenience of a Law
90(3)
12.1 The Problem
90(1)
12.2 Theoretical Analysis
90(3)
13 A Puzzle for When the Super Bowl is a Blowout
93(3)
13.1 The Problem
93(1)
13.2 Theoretical Analysis
94(2)
14 Parts and Ballistic Missiles
96(7)
14.1 The Problem
96(1)
14.2 Theoretical Analysis
97(6)
15 Blood Testing
103(4)
15.1 The Problem
103(1)
15.2 Theoretical Analysis
103(4)
16 Big Quotient---Part 2
107(10)
16.1 The Problem
107(1)
16.2 Theoretical Analysis
107(10)
17 To Test or Not to Test?
117(9)
17.1 The Problem
117(2)
17.2 Theoretical Analysis
119(7)
18 Average Distances on a Square
126(13)
18.1 The Problem(s)
126(1)
18.2 Theoretical Analyses
127(9)
18.3 Computer Simulations
136(3)
19 When Will the Last One fail?
139(8)
19.1 The Problem
139(3)
19.2 Theoretical Analyses
142(5)
20 Who's Ahead?
147(4)
20.1 The Problem
147(1)
20.2 Theoretical Analysis
148(3)
21 Plum Pudding
151(5)
21.1 The Problem
151(1)
21.2 Computer Simulation
152(1)
21.3 Theoretical Analysis
153(3)
22 Ping-Pong, Squash, and Difference Equations
156(12)
22.1 Ping-Pong Math
156(5)
22.2 Squash Math Is Harder!
161(7)
23 Will You Be Alive 10 Years from Now?
168(8)
23.1 The Problem
168(1)
23.2 Theoretical Analysis
169(7)
24 Chickens in Boxes
176(7)
24.1 The Problem (and Some Warm-ups, Too)
176(4)
24.2 Theoretical Analysis
180(3)
25 Newcomb's Paradox
183(6)
25.1 Some History
183(3)
25.2 Decision Principles in Conflict
186(3)
Challenge Problem Solutions 189(24)
Technical Note on MATLAB®'s Random Number Generator 213(4)
Acknowledgments 217(2)
Index 219
Paul J. Nahin is the author of many popular math books, including How to Fall Slower Than Gravity, In Praise of Simple Physics, and An Imaginary Tale (all Princeton). He is professor emeritus of electrical engineering at the University of New Hampshire.
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