The Crayon miscellany :: :: University of Virginia Library

An ELEMENTARY TREATISE on ALGEBRA, Theoretical
and Practical; with attempts to simplify some of the more
difficult parts of the science, particularly the demonstration of
the Binomial Theorem, in its most general form; the Solution
of Equations of the higher orders; the Summation of Infinite
Series, &c. By J. R. Young. First American edition, with
Additions and Improvements, by Samuel Ward, Jun. 8vo.

“A new and ingenious general method of solving Equations has been recently
discovered by Messrs. H. Atkinson, Holdred, and Horner, independently of each
other. For the best practical view of this new method and its applications,
consult the Elementary Treatise on Algebra, by Mr. J. R. Young, a work which
deserves our cordial recommendation.”

—Dr. Gregory's edition of Hutton's Mathematics.

“For the summation of Infinite Series the author gives a new and ingenious
method, which is very easy and extensive in its application.”

—Newcastle Mag.

By the same Author.

ELEMENTS of GEOMETRY; containing a new and universal
Treatise on the Doctrine of Proportions, together with Notes,
in which are pointed out and corrected several important errors
that have hitherto remained unnoticed in the writings of Geometers.
Also, an Examination of the various Theories of Parallel
Lines that have been proposed by Legendre, Bertrand, Ivory,
Leslie, and others.

“His observations on the theory of parallel lines, the labor he has bestowed
on the doctrines of proportion, as well as his corrections of many errors of preceding
Geometers, and supplying their defects, together with his minute attention
to accuracy throughout, may be justly considered as rendering his performance
valuable, especially to the learner.”

—Philosophical Magazine.

“We have never seen a work so free from pretension and of such great merit.
Various fallacies latent in the reasoning of some celebrated mathematicians,
both of ancient and modern date, are pointed out and discussed in a tone of calm
moderation, which we regret to say is not always employed in the scientific
world.”

—Monthly Magazine.

“This is a work of valuable information, the conception of a most enlightened
mind, and executed with a simplicity which cannot but carry the important truth
it speaks of, home to the conviction of every understanding.”

—Weekly Times.

The ELEMENTS of ANALYTICAL GEOMETRY; comprehending
the Doctrine of the Conic Sections, and the General
Theory of Curves and Surfaces of the second order, with a
variety of local Problems on Lines and Surfaces. Intended for
the use of Mathematical Students in Schools and Universities.

“If works like the present be introduced generally into our schools and colleges,
the continent will not long boast of its immense superiority over the
country of Newton, in every branch of modern analytical science.”

—Atlas.

ELEMENTS of PLANE and SPHERICAL TRIGONOMETRY,
comprehending the Theory of Navigation and of Nautical
Astronomy.

ELEMENTS of MECHANICS, comprehending Statics and
Dynamics.

LESSONS on THINGS, intended to improve Children in the
Practice of Observation, Reflection, and Description, on the System
of Pestalozzi, edited by John Frost, A. M.

The publishers request the attention of Teachers, School Committees,
and all who are desirous of improving the methods of instruction,
to this work, which is on a plan hitherto unattempted
by any school-book in this country, and which has been attended
with extraordinary success in England.

The following remarks on the work are extracted from the
“Quarterly Journal of Education.”

“This little volume is a `corrected and re-corrected' edition of lessons actually
given to children, and, therefore, possesses a value to which no book made in
the closet can lay claim, being the result of actual experiment. The work consists
of a number of lessons, divided into five series; beginning with subjects
the most easy and elementary, it gradually increases in difficulty, each successive
step being adapted to the mind of the child as it acquires fresh stores of
knowledge.

“Every part of these lessons is interesting to the child, both on account of the
active operation into which his own mind is necessarily called by the manner in
which the lessons are given; and also by the attractive nature of many of the
materials which form the subject of the lessons. In the first and most elementary
series, the pupil is simply taught to make a right use of his organs of sense,
and to exercise his judgment so far only as relates to the objects about him; and
accordingly the matter brought before him at this stage, is such that its obvious
properties can be discovered and described by a child who has acquired a tolerable
knowledge of his mother tongue.”

ELEMENTS of the INTEGRAL CALCULUS; with its
Applications to Geometry, and to the Summation of Infinite
Series, &c. Revised and corrected by Michael O'Shannessy,
A. M. 1 vol. 8vo.

“The volume before us forms the third of an analytical course, which commences
with the `Elements of Analytical Geometry.' More elegant textbooks
do not exist in the English language, and we trust they will speedily be
adopted in our Mathematical Seminaries. The existence of such auxiliaries
will, of itself, we hope, prove an inducement to the cultivation of Analytical
Science; for, to the want of such elementary works, the indifference hitherto
manifested in this country on the subject is, we apprehend, chiefly to be ascribed.
Mr. Young has brought the science within the reach of every intelligent
student, and, in so doing, has contributed to the advancement of mathematical
learning in Great Britain.”

—Presbyterian Review, January, 1832.

ELEMENTS of the DIFFERENTIAL CALCULUS; comprehending
the General Theory of Curve Surfaces, and of
Curves of Double Curvature. Revised and corrected by
Michael O'Shannessy, A. M. 1 vol. 8vo.

“The whole Elements of the Differential Calculus, comprehending all that
is most valuable in the large works of the most celebrated Analysts, are contained
in one volume, beautifully printed on a fine paper, and neatly bound
in cloth. It appears to be in every respect well fitted for a Class-Book, and
can scarcely fail to be very generally adopted”

—Presbyterian Review, September,
1831.