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

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

Published $\text {1930}$, E. & F. Spon Ltd.

### Subject Matter

• Mathematical tables

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

Comrie extended the tables to include fourth powers, reciprocals of square roots, factorials and square roots of ten times the number.

He also restored the tables of higher powers, which were present in the 1814 edition, but had been removed in the 1840 edition edited by Augustus De Morgan.

Also included (in the Introduction):

• A list of errors that he uncovered in the initial work (a total of seven instances);
• An indication of the source works used to compile some the extra columns in the tables.

### 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)
Introduction

For all integers from $1$ through to $10,000$:
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 $10000$:
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.