Digital Dice: Computational Solutions to Practical Probability Problems

الغلاف الأمامي
Princeton University Press, 2008 - 263 من الصفحات
1 مراجعة

Some probability problems are so difficult that they stump the smartest mathematicians. But even the hardest of these problems can often be solved with a computer and a Monte Carlo simulation, in which a random-number generator simulates a physical process, such as a million rolls of a pair of dice. This is what Digital Dice is all about: how to get numerical answers to difficult probability problems without having to solve complicated mathematical equations.

Popular-math writer Paul Nahin challenges readers to solve twenty-one difficult but fun problems, from determining the odds of coin-flipping games to figuring out the behavior of elevators. Problems build from relatively easy (deciding whether a dishwasher who breaks most of the dishes at a restaurant during a given week is clumsy or just the victim of randomness) to the very difficult (tackling branching processes of the kind that had to be solved by Manhattan Project mathematician Stanislaw Ulam). In his characteristic style, Nahin brings the problems to life with interesting and odd historical anecdotes. Readers learn, for example, not just how to determine the optimal stopping point in any selection process but that astronomer Johannes Kepler selected his second wife by interviewing eleven women.

The book shows readers how to write elementary computer codes using any common programming language, and provides solutions and line-by-line walk-throughs of a MATLAB code for each problem.

Digital Dice will appeal to anyone who enjoys popular math or computer science.

 

ما يقوله الناس - كتابة مراجعة

لم نعثر على أية مراجعات في الأماكن المعتادة.

المحتويات

I
1
II
35
III
37
IV
38
V
40
VI
42
VII
45
VIII
48
XXX
124
XXXI
129
XXXII
140
XXXIII
144
XXXIV
148
XXXV
153
XXXVI
157
XXXVII
161

IX
51
X
53
XI
59
XII
61
XIII
63
XIV
65
XV
69
XVI
74
XVII
77
XVIII
81
XIX
83
XX
85
XXI
87
XXII
91
XXIII
96
XXIV
101
XXV
103
XXVI
105
XXVII
109
XXVIII
114
XXIX
120
XXXVIII
169
XXXIX
175
XL
184
XLI
187
XLII
191
XLIII
197
XLIV
204
XLV
213
XLVI
221
XLVII
223
XLVIII
229
XLIX
231
L
237
LI
244
LII
248
LIII
252
LIV
255
LV
257
LVI
259
LVII
261
حقوق النشر

طبعات أخرى - عرض جميع المقتطفات

عبارات ومصطلحات مألوفة

حول المؤلف (2008)

Paul J. Nahin is the author of many best-selling popular-math books, including "Chases and Escapes, Dr. Euler's Fabulous Formula, When Least is Best, Duelling Idiots and Other Probability Puzzlers", and "An Imaginary Tale" (all Princeton). He is professor emeritus of electrical engineering at the University of New Hampshire.

معلومات المراجع