Choice and Chance (Classic Reprint) - Softcover

Whitworth, William Allen

9781440042546: Choice and Chance (Classic Reprint)

Softcover

ISBN 10: 1440042543 ISBN 13: 9781440042546

Verlag: Forgotten Books, 2010

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PREFACE.
IN this second edition I have enlarged the appendices
so as to meet the wants of adyanced students. I have
also added a collection of upwards of one hundred
miscellaneous examples, which I think will ndd very
much to the utility of the book.
It should be observed that the two chapters headed
respectively' Choice and Chance are simply arithmetic,
and ought not to be beyond the comprehension of the
ordinary reader who has never seen an algebraicaI sym~
bol. But while expressly written for unscientific readers,
they have been found very helpful to the young mathematician,
when he was about to read in his algebra the
hitherto difficult and embanassing chapters on permu�
tations and combinations, 01' on probability.
The appendices are addressed entirely to algebraical
students. In the first appendix the usual theorems
respecting permutat.ions and combinations are esta~
blishcd by new proofs, the same reasoning which
was pm'sued with as little technicality as p

Table of Contents

CONTENTS; Ex planations; CHAPTER 1 CHOICE ; Examples 011 Choice ; CHAPTER II CHANCE; Examples on Chance ; ApPENDIX I Permutations and Combinations; Algebraically ; ApPE~DIX II Distdbutions; ApPENDIX III Derangements • ; Apl'~NDlX IV On the Disadvantage of Gambling; Miscellaneous Examples; Auswers to tho R~fll�npl(~s ; treated; l'AG-R; Xl; 1; fi2; (Hi; 138; 142; 163; 185; 199; 231; ;2!)1

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Excerpt from Choice and Chance

In the second and third appendices, which are newly added in this edition, a series of propositions are given which are not usually found in text books of algebra.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.