Page:Mathematical recreations and essays (IA mathematicalrecr00ballrich).pdf/11

This page has been proofread, but needs to be validated.

vii

TABLE OF CONTENTS.
PART I.

Mathematical Recreations.

Chapter I. Arithmetical Recreations.
PAGE
Bachet. Ozanam. Montucla 2
Elementary Questions on Numbers 3
Determination of a number selected by someone 4
Prediction of the result of certain operations 7
Problems involving two numbers 10
Miscellaneous Problems 12
Problems with a Series of Numbered Things 14
Medieval Problems 18
The Josephus Problem. Decimation 23
Addendum on Solutions 27
Chapter II. Arithmetical Recreations (Continued).
Arithmetical Fallacies 28
Paradoxical Problems 31
Permutation Problems 32
Bachet's Weights Problem 34
Problems in Higher Arithmetic 36
Primes. Mersenne's Numbers. Perfect Numbers 37
Unsolved Theorems by Euler, Goldbach, Lagrange 39
Fermat's Theorem on Binary Powers 39
Fermat's Last Theorem 40
This article is issued from Wikisource. The text is available under Creative Commons Attribution-Share Alike 4.0 unless otherwise noted. Additional terms may apply for the media files.