_Vienna_, eighteen-twenty-one. =Geo. Fred. Vega.= ‘Vorlesungen über die
Rechenkunst und Algebra.’ _Octavo._
The fourth edition (with preface dated seventeen-eighty-two, which
I presume to be the date of the first) of the Arithmetic of the
celebrated editor of the greatest modern table of logarithms.
_Leeds_, eighteen-twenty-three. [=Walker?=] ‘Elements of Arithmetic for
the use of the Grammar School....’ _Duodecimo in threes._
An excellent little work, which I suppose I am right in attributing
to Mr. Walker, and calling it the first edition of the work presently
mentioned.
_London_, eighteen-twenty-three. =Thomas Taylor.= ‘The Elements of
a New Arithmetical Notation, and of a New Arithmetic of Infinites.’
_Octavo in twos._
A curious attempt at establishing a theory of infinites, the unit of
which is 1 + 1 + 1 + &c. ad inf. Those who know nothing of Taylor
_the Platonist_, should read his life in the _Penny Cyclopædia_.
To re-establish Plato and Aristotle (in some sense even their very
mythology) was the uniform endeavour of a long life and a most
voluminous course of authorship. P. 424.
_London_, eighteen-twenty-four. =Jas. Darnell.= ‘Essentials of
Arithmetic, or Universal Chain.’ _Duodecimo._
This treatise reduces most questions to the form known as the
_chain-rule_. Several writers have since advocated this plan.
_London_, eighteen-twenty-five. =J. Joyce.= ‘A System of Practical
Arithmetic.’ _Duodecimo._
A well-known book. The preface is dated eighteen-sixteen, which I
suppose to be the date of the first edition.
_London_, eighteen-twenty-six. =J. R. Young.= ‘An Elementary Treatise
on Algebra.’ _Octavo._
I enter this work here as that of the first elementary writer who saw
the value of Horner’s (or, as he then called it, Holdred’s) method
of solving equations. This is, I believe, the first of the series of
widely-known and much-used works by the same author.
_London_, eighteen-twenty-six. =Chas. Pritchard.= ‘Illustrations of
Theoretical Arithmetic.’ _Duodecimo in sixes._
A demonstrated system of Arithmetic, at a time when there were few such
things in English.
_London_, eighteen-twenty-seven. =H.= and =J. Grey=. ‘Practical
Arithmetic.’ Eighth edition. _Duodecimo._
A book of concise rules for special cases.
_London_, eighteen-twenty-seven. =George Walker= (Master of the Grammar
School at Leeds). ‘Elements of Arithmetic, theoretical and practical,
for the use of the Grammar School, Leeds.’ Third edition. _Duodecimo._
A clear and excellent work, written by a man of real science. I
doubt whether the peculiarity of the work, the introduction of the
distinction of integers and decimal fractions at the very outset, be
judicious: but it has had advocates of powerful name.
_Paris_, eighteen-twenty-eight. =Bourdon.= ‘Élémens d’Arithmétique.’
Sixth edition. _Octavo._
More complete than Lacroix in details. Bourdon was an excellent
elementary writer, both on arithmetic and on algebra. I began my career
as an author, by a translation of part of his work on algebra.
_London_, eighteen-twenty-eight. =John Bonnycastle.= ‘The Scholar’s
Guide to Arithmetic ... enlarged and improved by the Rev. E. C. Tyson.’
_Duodecimo._
What edition this is I do not know.
_London_, eighteen-twenty-eight. ‘An Abridgment of the Arithmetical
Grammar ... By Catechetical Scrutiny.’