Carroll free press. [volume] (Carrollton [Ohio]) 1834-1861, 1842-12-30
PARKE'S LECTURES
ON THE
Philosophy Of Numbers
AND THE
ADAPTATION OF ARITHMETIC
To The business purposes Of life.

-o%~
THE above book is not designed to
interfere with any publication used 10
our Schools, but rather TO give teachers
and others, disposed TO investigate, means
Of understanding the subject so far as il
can be done without resorting 10 the
higher branches OF mathematical science.
Too many content themselves with a
knowledge OF arbitrary rules, and think
they understand the science OF numbers,
because they can solve questions as IA ma
chine performs its work, but if they
would educate the mind, and proceed
understaDdingly. they must investigate
the reasons On which their operations
are based. To enable every one to do
this pleasantly and ef0ctuaIly the "Phi
losophy of Numbers has been prepar-
ed. In it principles are advanced, ard
the rationale of rules shown, while solu-
tons are performed in various ways
and their relative advantages pointed out.
Especially are the Analytic and Synthet
&c modes explained and applied. A
mongst the problems solved are many OF
the catch questions of The day.
The plan Of lectures would not be adj
missable in an elementary work, but
seems well adapted 10 one OF an advan-
ced character. 1t enables the author to
point out clearly the different views of
which tie subject admits, and 10 sketch
its history, applications in business, &c.
This mode is new and has met with gen.
eral approval. Ia it teachers will find
modes ofiIlustratIons that will be useful
to them in their class room; and advan-
ced classes may probably study The Lee.
lures as a text book, after completing
their usual course OF Arithmetic.
The following very brief summary Of
the contents may give some idea Of the
matter contained IN The book.
Lecture LIST. The study oil Arithmetic ;
it's History, advantages &c Modes oil
teaching Deaf and Dumb, Blind &c.
2. Comparative view of the rules OF
Arithmetic; showing wherein they are
similar or dissimilar.
3. Principles of numbering. Why
ten is adopted as a basis by nearly all
nations. Other bases Hebrew, Greek
and Roman Notation. Arabian system.
A. s, u, Z, 8 and 8, are devoted to the
Natural and Accidental Properties oil
Numbers. In these are embraced the
various relations and properties of mum
bers, going very fully into detail on the
doctrine of Fractions, Ratio, Evolution
lnvolution &c, and showing the ordi.
nary rules of Arithmetic are built upon
these relations.
To- Modes of solving problems, with
the "Why and Wherefore" What ques
tlons can and what cannot be solved By
Position.
IL. INTEREST," iscount-Equation.-
Annuities-lnsuranCe, &c.
IL. Proportion, amongst lines, Surfa,
ces and Solids, with the origin of sucl
constant mullipliers as 1854, 3.l4l6
1928, &c.
Is. Proofs, Contractions Mental Cal
culalions &c Zerah Colburn.
IA and l5, Solution of Problems, re
sumed, with explanations.
Is. Theory Of Wheel Carriages; con
tanning, it is believed, a fuller mvestiga
ton of the subject than can readily b
found elsewhere.
II, TIE uses TO which a knowledge @
, Arithmetic is applied, in the several oc
equations o fIife.
r IS. One Hundred Select Problems.
IA. A collection Of Rules.
90. Pursuit of knowledge under diff
%Culties, with anecdotes Of eminent ind
viduals.
Throughout the whole, solutions ar
given for Illustration, and every opportu
nifty embraced TO point out The principle
. and applications Of the science.
GIVE deem it unnecessary to publis
; the testimonials Of appreciation wit
which the work has been favored.
GTHe attention Of teachers Is esp
, 0iaily inuited.
The above work is printed on the be-
ofpaper, and contains 1856 pages duoC
I eclmo. Price, 10 full binding, n do
, lar at retail.
} For sale wholesale and retail By ii
Publisher, GAINESVILLE, Ohio. U.
James, Cincinnati; l. " Whiting
Huntingdon, Columbus; and Charles Ru
sell, Lebanon IL may be had at parrot
other places in Ohio, and the Gdjotnin
States.
N U. P, BENNETT,