The purpose of "The Pleasures of Probability" is to introduce some of the most fundamental ideas in classical probability to a fairly general audience - reaching from mathematical amateurs to scientists, from students to professional mathematicians. The only prerequisites required are a decent background in elementary algebra and an interest in discussions of a variety of probl...
The purpose of "The Pleasures of Probability" is to introduce some of the most fundamental ideas in classical probability to a fairly general audience - reaching from mathematical amateurs to scientists, from students to professional mathematicians. The only prerequisites required are a decent background in elementary algebra and an interest in discussions of a variety of problems and applications in probability. The style is informal, and the chapters are more like essays on a particular topic than textbook treatments. Even well-known problems are often covered in more depth than usual in order to illustrate underlying ideas. The book can be used as a text for a first course in probability or as a companion to a text. Each chapter ends with a few problems, the answers to which are given at the end of the book.
作者简介
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Department of Mathematics, Lehman College, City University of New York, Bronx, USA
Richard Isaac
The Graduate Center, New York, USA
Richard Isaac
目录
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Front Matter
Pages i-xv
Cars, Goats, and Sample Spaces
Richard Isaac
Pages 1-11
How to Count: Birthdays and Lotteries
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(更多)
Front Matter
Pages i-xv
Cars, Goats, and Sample Spaces
Richard Isaac
Pages 1-11
How to Count: Birthdays and Lotteries
Richard Isaac
Pages 13-20
Conditional Probability: From Kings to Prisoners
Richard Isaac
Pages 21-30
The Formula of Thomas Bayes and Other Matters
Richard Isaac
Pages 31-40
The Idea of Independence, with Applications
Richard Isaac
Pages 41-53
A Little Bit About Games
Richard Isaac
Pages 55-59
Random Variables, Expectations, and More About Games
Richard Isaac
Pages 61-76
Baseball Cards, The Law of Large Numbers, and Bad News for Gamblers
Richard Isaac
Pages 77-93
From Traffic to Chocolate Chip Cookies with the Poisson Distribution
Richard Isaac
Pages 95-102
The Desperate Case of the Gambler’s Ruin
Richard Isaac
Pages 103-110
Breaking Sticks, Tossing Needles, and More: Probability on Continuous Sample Spaces
Richard Isaac
Pages 111-125
Normal Distributions, and Order from Diversity via the Central Limit Theorem
Richard Isaac
Pages 127-139
Random Numbers:What They Are and How to Use Them
Richard Isaac
Pages 141-155
Computers and Probability
Richard Isaac
Pages 157-168
Statistics: Applying Probability to Make Decisions
Richard Isaac
Pages 169-186
Roaming the Number Line With a Markov Chain: Dependence
Richard Isaac
Pages 187-202
The Brownian Motion, and Other Processes in Continuous Time
Richard Isaac
Pages 203-214
Back Matter
Pages 215-244
· · · · · · (收起)
原文摘录
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Assuming that “two choices means 50-50 chances” is our biggest hurdle.
Yes, two choices are equally likely when you know nothing about either choice. If I picked two random Japanese pitchers and asked “Who is ranked higher?” you’d have no guess. You pick the name that sounds cooler, and 50-50 is the best you can do. You know nothing about the situation.
Now, let’s say Pitcher A is a rookie, never been tested, and Pitcher B won the “Most Valuable Player” award the last 10 years in a row. Would this change your guess? Sure thing: you’ll pick Pitcher B (with near-certainty). Your uninformed friend would still call it a 50-50 situation. (查看原文)
Undergraduate Texts in Mathematics(共146册)，
这套丛书还有
《Introduction to Cryptography (Undergraduate Texts in Mathematics)》《Mathematical Biology》《Introduction to Coding and Information Theory》《More Calculus of a Single Variable》《Mathematics and Its History》
等
。
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2 有用 壞人 2014-07-16 14:00:50
挺好的一本“讀物”，可惜太老了木有勘誤表（至少我沒有在網上找到），而書裡有幾個錯誤我也無法確定是真的錯了還是我太蠢了。
0 有用 淇厚生 2015-04-25 16:20:40
a pleasure to read
1 有用 jikeba 2020-10-10 04:23:24
无意中在图书馆里翻到的一本小书，有事没事出门带着在交通工具上看。内容很浅显，仅仅覆盖了统计入门的离散概率部分，所以翻起来很快，同时例子很多，讲解也很生动，monty hall problem等等看下来，确实收获到了一些教科书里没有的、更加深入的理解。Springer的书确实质量非常有保障。
1 有用 jikeba 2020-10-10 04:23:24
无意中在图书馆里翻到的一本小书，有事没事出门带着在交通工具上看。内容很浅显，仅仅覆盖了统计入门的离散概率部分，所以翻起来很快，同时例子很多，讲解也很生动，monty hall problem等等看下来，确实收获到了一些教科书里没有的、更加深入的理解。Springer的书确实质量非常有保障。
0 有用 淇厚生 2015-04-25 16:20:40
a pleasure to read
2 有用 壞人 2014-07-16 14:00:50
挺好的一本“讀物”，可惜太老了木有勘誤表（至少我沒有在網上找到），而書裡有幾個錯誤我也無法確定是真的錯了還是我太蠢了。