By ISAAC TODHUNTER, M.A.

10.

AN ELEMENTARY TREATISE ON THE

By J. H. PRATT, M.A. Archdeacon of Calcutta, late Fellow of Gonville and Caius College, Cambridge. A Treatise on Attractions,

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of the Earth.

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This treatise contains all the propositions which are usually included in elementary treatises on the Theory of Equations, together with a collection of Examples for exercise. This work may in fact be regarded as a sequel to that on Algebra by the same writer, and accordingly the student has occasionally been referred to the treatise on Algebra for preliminary information on some topics here discussed. The work includes three chapters on Determinants.

11.

History of the Progress of the Calculus of Variations During the Nineteenth Century. 8vo. cloth. 532 pp. (1861). 12s.

It is of importance that those who wish to cultivate any subject may be able to ascertain what results have already been obtained, and thus reserve their strength for difficulties which have not yet been conquered. The Author has endeavoured in this work to ascertain distinctly what has been effected in the Progress of the Calculus, and to form some estimate of the manner in which it has been effected.

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(1861). Cloth. 6s. 6d.

In the present Treatise the author has endeavoured to supply the want of a work on a subject of great importance and high interest-La Place's Coefficients and Functions and the calculation of the Figure of the Earth by means of his remarkable analysis. No student of the higher branches of Physical Astronomy should be ignorant of La Place's analysis and its result-"a calculus," says Airy, "the most singular in its nature and the most powerful in its application that has ever appeared."

Theory of Errors of Observations And the Combination of Observations. By G. B. AIRY, M.A. Astronomer Royal. 103 pp. (1861). Crown 8vo. 6s. 6d.

In order to spare astronomers and observers in natural philosophy the confusion and loss of time which are produced by referring to the ordinary treatises embracing both branches of Probabilities, the author has thought it desirable to draw up this work, relating only to Errors of Observation, and to the rules derivable from the consideration of these Errors, for the Combination of the Results of Observations. The Author has thus also the advantage of entering somewhat more fully into several points of interest to the observer, than can possibly be done in a General Theory of Probabilities.

AN ELEMENTARY TREATISE ON

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Differential Equations 468 pp. (1859). Crn. 8vo. cloth. 14s. The Author has endeavoured in this

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By P. G. TAIT, M.A., and

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By the Rev. G. F. CHILDE, M.A. Mathematical Professor in the South African College.

of his previous course.

2. The Calculus of
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Elementary Statics.

By the Rev. GEORGE RAWLINSON, Professor of Applied Sciences, Elphinstone Coll., Bombay.

Edited by the Rev. E. STURGES. M.A.

Rector of Kencott, Oxfordshire.

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the Ellipsoid

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As the title of this volume indicates, its object is to develope peculiarities in the Ellipsoid; and further, to establish analogous properties in unlimited congeneric series of which this remarkable surface is a constituent.

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Elementary Hydrostatics
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Solutions.

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This Edition contains 147 Examples, and solutions to all these examples are given at the end of the book.

By Rev. S. PARKINSON, B.D. Fellow and Prælector of St. John's Coll. Cambridge.

1. Elementary Treatise on Mechanics.

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AN ELEMENTARY TREATISE ON

Plane Trigonometry. With a numerous Collection of Examples.

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Conic Sections and Algebraic Geometry. With numerous Easy Examples Progressively arranged.

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CONTENTS:

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Chap. I. Of Moments of Inertia. —II. D'Alembert's Principle.

III. Motion about a Fixed Axis.-IV. Motion in Two Dimensions.-V. Motion of a Rigid Body in Three Dimensions.VI. Motion of a Flexible String.-VII. Motion of a System of Rigid Bodies. VIII. Of Impulsive Forces.-IX. Miscellaneous Examples.

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Trilinear Co-Ordinates The Method of Reciprocal Polars, and the Theory of Projections. 154 pp. (1161). Cr. 8vo. cl. 6s. 6d.

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