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CLASSIC VERSIONS OF ENGLISH BOOKS, AND LATIN HYMNS.

THE following works are, as the heading indicates, classic renderings of English books. For scholars, and particularly for writers of Latin Verse, the series has a special value. The Hymni Ecclesiæ are here inserted, as partly falling under the same class.

Church.-HORÆ TENNYSONIANE SIVE ECLOGA E TENNYSONO. Latinæ Redditæ A. J. CHURCH, A.M.

[Just ready. Latham.-SERTUM SHAKSPERIANUM, Subnexis aliquot aliunde excerptis floribus. Latine reddidit Rev. H. LATHAM, M.A. Extra fcap. 8vo. 5s.

Besides versions of Shakspeare this volume contains, among other pieces, Gray's "Elegy," Campbell's "Hohenlinden," Wolfe's "Burial of Sir John Moore," and selections from Cowper and George Herbert.

Lyttelton.-THE COMUS OF MILTON, rendered into Greek Verse. By LORD LYTTELTON. Extra fcap. 8vo. 5s.

THE SAMSON AGONISTES OF MILTON, rendered into Greek Verse. By LORD LYTTELTON. Extra fcap. 8vo. 6s. 6d.

Extra

Merivale. KEATS' HYPERION, rendered into Latin Verse. By C. MERIVALE, B.D. Second Edit. Extra fcap. 8vo. 35. 6d. Hymni Ecclesiæ. - Edited by Rev. DR. NEWMAN. fcap. 8vo. 7s. 6d. Hymns of the Medieval Church. The first Part contains selections from the Parisian Breviary; the second from those of Rome, Salisbury, and York.

Trench (Archbishop).

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SACRED LATIN POETRY, chiefly Lyrical, selected and arranged for Use; with Notes and Introduction. Fcap. 8vo. 75.

In this work the editor has selected hymns of a catholic religious sentiment that are common to Christendom, while rejecting those of a distinctively Romish character.

MATHEMATICS.

Airy. Works by G. B. AIRY, Astronomer Royal :

ELEMENTARY TREATISE ON PARTIAL DIFFERENTIAL EQUATIONS. Designed for the Use of Students in the Univer

sities.

With Diagrams. Crown 8vo. cloth. 5s. 6d.

It is hoped that the methods of solution here explained, and the instances exhibited, will be found sufficient for application to nearly all the important problems of Physical Science, which require for their complete investigation the aid of Partial Differential Equations.

ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS. Crown 8vo. cloth. 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 first relating to chances which can be altered only by the changes of entire units or integral multiples of units in the fundamental conditions of the problem; the other concerning those chances which have respect to insensible gradations in the value of the element measured) the present tract has been drawn ub. It relates only to errors of observation, and to the rules, derivable from the consideration of these errors, for the combination of the results of observations.

Airy, G. B.-continued.

UNDULATORY THEORY OF OPTICS. Designed for the Use of Students in the University. New Edition. Crown 8vo. cloth. 6s. 6d.

The undulatory theory of optics is presented to the reader as having the same claims to his attention as the theory of gravitation: namely, that it is certainly true, and that, by mathematical operations of general elegance, it leads to results of great interest. This theory explains with accuracy a vast variety of phenomena of the most complicated kind. The plan of this tract has been to include those phenomena only which admit of calculation, and the investigations are applied only to phenomena which actually have been observed.

ON SOUND AND ATMOSPHERIC VIBRATIONS. With the Mathematical Elements of Music. Designed for the Use of Students of the University. Crown 8vo. 9s.

This volume consists of sections, which again are divided into numbered articles, on the following topics: General recognition of the air as the medium which conveys sound; Properties of the air on which the forma tion and transmission of sound depend; Theory of undulations as applied to sound, &c.; Investigation of the motion of a wave of air through the atmosphere; Transmission of waves of soniferous vibrations through different gases, solids, and fluids; Experiments on the velocity of sound, &c.; On musical sounds, and the manner of producing them; On the elements of musical harmony and melody, and of simple musical composi tion; On instrumental music; On the human organs of speech and hearing.

Bayma.-THE ELEMENTS OF MOLECULAR MECHA

NICS. By JOSEPH BAYMA, S. J., Professor of Philosophy,
Stonyhurst College. Demy 8vo. cloth. IOS. 6d.

Of the twelve Books into which the present treatise is divided, the first and second give the demonstration of the principles which bear directly on the constitution and the properties of matter. The next three books contain a series of theorems and of problems on the laws of motion of elementary substances. In the sixth and seventh, the mechanical constitution of mole

cules is investigated and determined: and by it the general properties of bodies are explained. The eighth book treats of luminiferous æther. The ninth explains some special properties of bodies. The tenth and eleventh contain a radical and lengthy investigation of chemical principles and relations, which may lead to practical results of high importance. twelfth and last book treats of molecular masses, distances, and powers.

The

Beasley.-AN ELEMENTARY TREATISE ON PLANE With Examples. By R. D. BEASLEY,

TRIGONOMETRY.

M. A., Head Master of Grantham Grammar School. Second
Edition, revised and enlarged. Crown 8vo. cloth. 35. 6d.

This treatise is specially intended for use in schools. The choice of matter has been chiefly guided by the requirements of the three days' examination at Cambridge. About four hundred examples have been added to this edition, mainly collected from the examination papers of the last ten years.

Boole.-Works by G. BOOLE, D.C.L., F.R.S., Professor of Mathematics in the Queen's University, Ireland.

A TREATISE ON DIFFERENTIAL EQUATIONS. New and Revised Edition. Edited by I. TODHUNTER. Crown 8vo. cloth.

145.

Professor Boole has endeavoured in this treatise to convey as complete an account of the present state of knowledge on the subject of Differential Equations, as was consistent with the idea of a work intended, primarily, for elementary instruction. The earlier sections of each chapter contain that kind of matter which has usually been thought suitable for the beginner, while the latter ones are devoted either to an account of recent discovery, or the discussion of such deeper questions of principle as are likely to present themselves to the reflective student in connexion with the methods and processes of his previous course.

A TREATISE ON DIFFERENTIAL EQUATIONS.

Supple

mentary Volume. Edited by I. TODHUNTER. Crown 8vo. cloth. 8s. 6d.

This volume contains all that Professor Boole wrote for the purpose of enlarging his treatise on Differential Equations.

Boole, G., D.C.L.-continued.

THE CALCULUS OF FINITE DIFFERENCES. Crown 8vo. cloth. IOS. 6d.

In this exposition of the Calculus of Finite Differences, particular attention has been paid to the connexion of its methods with those of the Differential Calculus-a connexion which in some instances involves far more than a merely formal analogy. The work is in some measure designed as a sequel to Professor Boole's Treatise on Differential Equations.

CAMBRIDGE SENATE-HOUSE PROBLEMS AND RIDERS, WITH SOLUTIONS :

1848-1851.-PROBLEMS. By FERRERS and JACKSON. 8vo.
cloth. 15s. 6d.

1848-1851.-RIDERS. BY JAMESON. 8vo. cloth. 7s. 6d.
1854. - PROBLEMS AND RIDERS. By WALTON and
MACKENZIE. 8vo. cloth. IOS. 6d.

1857. PROBLEMS AND RIDERS. By CAMPION and
WALTON. 8vo. cloth. 8s. 6d.

1860.-PROBLEMS AND RIDERS. BY WATSON and ROUTH. Crown 8vo. cloth. 7s. 6d.

1864.-PROBLEMS AND RIDERS. BY WALTON and WILKINSON. 8vo. cloth. IOS. 6d.

These volumes will be found of great value to Teachers and Students, as indicating the style and range of mathematical study in the University of Cambridge.

CAMBRIDGE

COURSE OF

ELEMENTARY

NATURAL Originally compiled by

PHILOSOPHY, for the Degree of B. A.
J. C. SNOWBALL, M. A., late Fellow of St. John's College.
Fifth Edition, revised and enlarged, and adapted for the Middle-
Class Examinations by THOMAS LUND, B.D., Late Fellow and
Lecturer of St. John's College, Editor of Wood's Algebra, &c.
Crown 8vo. cloth. 5s.

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