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1 Local Warehouse Mathematics- Probability Theory

This title in other editions

Lady Luck: The Theory of Probability

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Lady Luck: The Theory of Probability Cover

 

Synopses & Reviews

Publisher Comments:

"Should I take my umbrella?" "Should I buy insurance?" "Which horse should I bet on?" Every day ― in business, in love affairs, in forecasting the weather or the stock market questions arise which cannot be answered by a simple "yes" or "no." Many of these questions involve probability. Probabilistic thinking is as crucially important in ordinary affairs as it is in the most abstruse realms of science.

This book is the best nontechnical introduction to probability ever written. Its author, the late Dr. Warren Weaver, was a professor of mathematics, active in the Rockefeller and Sloan foundations , an authority on communications and probability, and distinguished for his work at bridging the gap between science and the average citizen. In accessible language and drawing upon the widely diverse writings of thinkers like Kurt Godel, Susanne K. Langer, and Nicholas Bernoulli, Dr. Weaver explains such concepts as permutations, independent events, mathematical expectation, the law of averages, Chebychev's theorem, the law of large numbers, and probability distributions. He uses a probabilistic viewpoint to illuminate such matters as rare events and coincidences, and also devotes space to the relations of probability and statistics, gambling, and modern scientific research. Dr. Weaver writes with wit, charm and exceptional clarity. His mathematics is elementary, grasp of the subject profound, and examples fascinating. They are complemented by 49 delightful drawings by Peg Hosford. 13 tables. 49 drawings. Foreword. Index.

Synopsis:

This witty, nontechnical introduction to probability elucidates such concepts as permutations, independent events, mathematical expectation, the law of averages and more. No advanced math required. 49 drawings.

Synopsis:

Best nontechnical introduction. With exceptional clarity, distinguished mathematician explains law of averages, coincidences, distributions, etc. No advanced math. 49 drawings.

Synopsis:

This witty, nontechnical introduction to probability elucidates such concepts as permutations, independent events, mathematical expectation, the law of averages and more. No advanced math required. 49 drawings.

About the Author

Warren Weaver: A Prolific Mind

Warren Weaver (1894-1978) was an engineer, mathematician, administrator, public advocate for science, information age visionary, and author or co-author of many books including the one on which his authorial fame mostly rests, his and Claude Shannon's epoch-making 1949 work, The Mathematical Theory of Communication.

A man with a restless intelligence, he also wrote an early seminal work on the theory of machine translation, a unique work on the publishing history of Alice in Wonderland in the many languages into which it has been translated, Alice in Many Tongues, and the book which introduced the Sputnik generation and their followers to the intricacies and enjoyment of the basic concepts of probability, Lady Luck: The Theory of Probability. This book, first published in 1963, has been a fixture on the Dover list since 1982.

From the Book:

"I say that you may at the moment be almost bored at the prospect of thinking about thinking. But this book is going to introduce you to a special way of thinking, a special brand of reasoning, which, I am confident, you will find not only useful, but fun as well. It will be about a type of thinking that, when stated boldly, seems a little strange. For we often suppose that we think with the purpose of coming to definite and sure conclusions. This book, on the contrary, deals with thinking about uncertainty."

In the Author's Own Words:

"We keep, in science, getting a more and more sophisticated view of our essential ignorance." — Warren Weaver

Table of Contents

Foreword

I Thoughts about Thinking

    The Reasoning Animal

    Reasoning and Fun

    The Kind of Questions We Have to Answer

    What Kind of Reasoning Is Able to Furnish Useful Replies to Questions of This Sort

    Thinking and Reasoning

    Classical Logic

II The Birth of Lady Luck

III The Concept of Mathematical Probability

    Don't Expect Too Much

    Mathematical Theories and the Real World of Events

    Mathematical Models

    Can There Be Laws for Chance?

    The Rolling of a Pair of Dice

    The Number of Outcomes

    Equally Probable Outcomes

    Ways of Designing Models

    The Definition of Mathematical Probability

    A Recapitulation and a Look Ahead

    Note on Terminology

    Note on Other Books about Probability

IV The Counting of Cases

    Preliminary

    Compound Events

    Permutations

    Combinations

    More Complicated Cases

V Some Basic Probability Rules

    A Preliminary Warning

    Independent Events and Mutually Exclusive Events

    Converse Events

    Fundamental Formulas for Total and for Compound Probability

VI Some Problems

    Foreword

    The First Problem of de Méré

    The Problem of the Three Chests

    A Few Classical Problems

    The Birthday Problem

    Montmort's Problem

    Try These Yourself

    Note about Decimal Expansions

VII Mathematical Expectation

    How Can I Measure My Hopes?

    Mathematical Expectation

    The Jar with 100 Balls

    The One-Armed Bandit

    The Nicolas Bernoulli Problem

    The St. Petersburg Paradox

    Summary Remarks about Mathematical Expectation

    Try These

    Where Do We Eat?

VIII The Law of Averages

    The Long Run

    Heads or Tails

IX Variability and Chebychev's Theorem

    Variability

    Chebychev's Theorem

X Binomial Experiments

    Binomial Experiments

    "Why "Binomial"?"

    Pascal's Arithmetic Triangle

    Binomial Probability Theorem

    Some Characteristics of Binomial Experiments

XI The Law of Large Numbers

    Bernoulli's Theorem

    Comments About the Classical Law of Large Numbers

    Improved Central Limit Theorems

    Note on Large Numbers

XII Distribution Functions and Probabilities

    Probability Distributions

    Normalized Charts

    The Normal or Gaussian Distribution

    What Is Normally Distributed?

    The Quincunx

    "Other Probability Distributions, The Poisson Distribution"

    The Distribution of First Significant Digits

XIII "Rare Events, Coincidences, and Surprising Occurrences"

    "Well, What Do You Think about That!"

    Small Probabilities

    Note on the Probability of Dealing Any Specified Hand of Thirteen Cards

    Further Note on Rare Events

XIV Probability and Statistics

    Statistics

    Deduction and Induction

    Sampling

    What Sort of Answers Can Statistics Furnish?

    The Variation of Random Samples

    Questions (2) and (3): Statistical Inference

    Question (4): Experimental Design

XV Probability and Gambling

    The Game of Craps

    The Ruin of the Player

    "Roulette, Lotteries, Bingo, and the Like"

    Gambling Systems

XVI Lady Luck Becomes a Lady

    Preliminary

    The Probability of an Event

    Geometrical Probabilities

    It Can't Be Chance!

    The Surprising Stability of Statistical Results

    The Subtlety of Probabilistic Reasoning

    The Modern Reign of Probability

    Lady Luck and the Future

Index

Product Details

ISBN:
9780486243429
Author:
Hosford, Peg
Author:
Hosford, Peg
Author:
eaver
Author:
Warren W
Publisher:
Dover Publications
Location:
New York :
Subject:
General
Subject:
General science
Subject:
Mathematics
Subject:
Statistics
Subject:
Probability
Subject:
Probabilities
Subject:
Probability & Statistics - General
Subject:
General Science
Subject:
Mathematics | Probability and Statistics
Copyright:
Edition Number:
Dover ed.
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
2
Publication Date:
19820831
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
384
Dimensions:
8.5 x 5.38 in 0.95 lb

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Related Subjects


Reference » Science Reference » General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Probability Theory
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Lady Luck: The Theory of Probability Used Trade Paper
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Product details 384 pages Dover Publications - English 9780486243429 Reviews:
"Synopsis" by ,
This witty, nontechnical introduction to probability elucidates such concepts as permutations, independent events, mathematical expectation, the law of averages and more. No advanced math required. 49 drawings.
"Synopsis" by , Best nontechnical introduction. With exceptional clarity, distinguished mathematician explains law of averages, coincidences, distributions, etc. No advanced math. 49 drawings.

"Synopsis" by ,
This witty, nontechnical introduction to probability elucidates such concepts as permutations, independent events, mathematical expectation, the law of averages and more. No advanced math required. 49 drawings.
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