# Book:L.J. Comrie/Barlow's Tables/Fourth Edition

## L.J. Comrie: Barlow's Tables (Fourth Edition)

Published $\text {1941}$, E. & F. Spon Ltd.

### Subject Matter

• Mathematical tables

This is an edition of Peter Barlow's New Mathematical Tables, originally published in 1814.

In Barlow's Tables/Third Edition, Comrie had extended the tables to include fourth powers, reciprocals of square roots, factorials and square roots of ten times the number.

In this fourth edition, he extended it further, to numbers up to $12,500$.

### Contents

From the Preface to the Original Edition (Peter Barlow, July 1, 1814)
From the Preface to the Edition of 1840 (Augustus De Morgan, December 23, 1839)
Preface to the Third Edition (L.J. Comrie, January 1930)
Preface to the Fourth Edition (L.J. Comrie, January 1941)
"In this new edition the tables have been extended from $10,000$ to $12,500$, particularly in order to avoid discontinuities when working with numbers just below and just above unity. The work of preparation has been greatly facilitated by a 6-register National machine, which lends itself to any work of a tabular nature."
Introduction

For all integers from $1$ through to $12,500$:
Squares
Cubes
Square roots
Cube roots
Reciprocals
For all integers from $1$ through to $100$:
Factorials
For all integers from $1$ through to $1000$:
Fourth powers
Reciprocals of square roots
For all integers from $1000$ through to $12,500$:
Square roots of ten times the number
For all integers from $1$ through to $100$:
Fourth to tenth powers
For all integers from $1$ through to $10$:
Eleventh to twentieth powers
For all integers from $1$ through to $12$:
Binomial coefficients
Some further constants derived from pi ($\pi$) and e etc.