GEOMETRY.

Frost and Wolstenholme.-A TREATISE ON SOLID By PERCIVAL FROST, M.A., and the Rev. J. WOLSTENHOLME, M. A., Fellow and Assistant Tutor of Christ's College. 8vo. cloth.

18s.

The authors have endeavoured to present before students as comprehensive a view of the subject as possible. Intending to make the subject accessible, at least in the earlier portion, to all classes of students, they have endeavoured to explain completely all the processes which are most useful in dealing with ordinary theorems and problems, thus directing the student to the selection of methods which are best adapted to the exigencies of each problem. In the more difficult portions of the subject, they have considered themselves to be addressing a higher class of students; and they have there tried to lay a good foundation on which to build, if any reader should wish to pursue the science beyond the limits to which the work extends.

Godfray.--Works by HUGH GODFRAY, M.A. Mathematical Lecturer at Pembroke College, Cambridge.

A TREATISE ON ASTRONOMY, for the Use of Colleges and Schools. 8vo. cloth. 12s. 6d.

This book embraces all those branches of Astronomy which have, from time to time, been recommended by the Cambridge Board of Mathematical Studies: but by far the larger and easier portion, adapted to the first three days of the Examination for Honours, may be read by the more advanced pupils in many of our schools. The author's aim has been to "It is a

convey clear and distinct ideas of the celestial phenomena.

working book," says the GUARDIAN, "taking Astronomy in its proper place in mathematical sciences. It is a book which is not likely to be got up unintelligently."

...

AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5s. 6d.

These pages will, it is hoped, form an introduction to more recondite works. Difficulties have been discussed at considerable length.

The

selection of the method followed with regard to analytical solutions, which is the same as that of Airy, Herschel, &c. was made on accourt of its simplicity; it is, moreover, the method which has obtained in the University of Cambridge. "As an elementary treatise and introduction to the subject, we think it may justly claim to supersede all former ones.”— LONDON, EDIN. AND DUBLIN PHIL. MAGAZINE.

Hemming.-AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools. By G. W. HEMMING, M. A., Fellow of St. John's College, Cambridge. Second Edition, with Corrections and Additions. 8vo. cloth. 95.

"There is no book in common use from which so clear and exact a knowledge of the principles of the Calculus can be so readily obtained.”LITERARY GAZETTE.

Jackson.-GEOMETRICAL CONIC SECTIONS. An Elemen

tary Treatise in which the Conic Sections are defined as the Plane
Sections of a Cone, and treated by the Method of Projection.
By J. STUART JACKSON, M. A, late Fellow of Gonville and Caius
College, Cambridge.

This work has been written with a view to give the student the benefit of the Method of Projections as applied to the Ellipse and Hyperbola. This method is calculated to produce a material simplification in the treatment of those curves, and to make the proof of their properties more easily understood in the first instance, and certainly more easily remembered. It is also a powerful instrument in the solution of a large class of problems relating to these curves. When the Method of Projections is admitted into the treatment of the Conic Sections, there are many reasons why they should be defined, not as has been the case of late years with reference to the focus and direction, but according to the original definition from which they have their name as plane sections of a cone. Among other considerations, it is of some importance that we can see at once from the form of the cone the general form of the curves that may be cut from it by a plane in different positions; and by turning the plane about a certain line, we see how the curves pass from one into another.

Jones and Cheyne.-ALGEBRAICAL EXERCISES. Progressively arranged. By the Rev. C. A. JONES, M. A., and C. H. CHEYNE, M. A., F. R. A. S., Mathematical Masters of Westminster School. New Edition. 18mo. cloth. 2s. 6d.

This little book is intended to meet a difficulty which is probably felt more or less by all engaged in teaching Algebra to beginners. It is, that while new ideas are being acquired, old ones are forgotten. In the belief that constant practice is the only remedy for this, the present series of miscellaneous exercises has been prepared. Their peculiarity consists in this, that though miscellaneous they are yet progressive, and may be used by the pupil almost from the commencement of his studies. They are not intended to supersede the systematically arranged examples to be found in ordinary treatises on Algebra, but rather to supplement them. The book being intended chiefly for Schools and Junior Students, the higher parts of Algebra have not been included.

Kitchener.-A GEOMETRICAL NOTE-BOOK, containing Easy Problems in Geometrical Drawing preparatory to the Study of Geometry. For the Use of Schools. By F. E. KITCHEner, M. A., Mathematical Master at Rugby. 4to. 25.

It is the object of this book to make some way in overcoming the difficulties of Geometrical conception, before the mind is called to the attack of Geometrical theorems. A few simple methods of construction are given ; and space is left on each page, in order that the learner may draw in the figures.

Morgan.-A COLLECTION OF PROBLEMS AND EXAM.

PLES IN MATHEMATICS. With Answers. By H. A.
MORGAN, M.A., Sadlerian and Mathematical Lecturer of Jesus
College, Cambridge. Crown 8vo. cloth. 6s. 6d.

This book contains a number of problems, chiefly elementary, in the Mathematical subjects usually read at Cambridge. They have been selected from the papers set during late years at Jesus College. Very few of them are to be met with in other collections, and by far the larger number are due to some of the most distinguished Mathematicians in the University.

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Newton's PRINCIPIA. Edited by Professor Sir W. THOMSON and Professor BLACKBURN. 4to. cloth.

31s. 6d.

It is a sufficient guarantee of the reliability of this complete edition of Newton's Principia that it has been printed for and under the care of Professor Sir William Thomson and Professor Blackburn, of Glasgow University. The following notice is prefixed:-" Finding that all the editions of the Principia are now out of print, we have been induced to reprint Newton's last edition [of 1726] without note or comment, only introducing the Corrigenda' of the old copy and correcting typographical errors." The book is of a handsome size, with large type, fine thick paper, and cleanly cut figures, and is the only modern edition containing the whole of Newton's great work.

Parkinson.-Works by S. PARKINSON, D.D., F.R.S., Fellow and Tutor of St. John's College, Cambridge.

AN ELEMENTARY TREATISE ON MECHANICS.

For the

Use of the Junior Classes at the University and the Higher Classes in Schools. With a Collection of Examples. Fourth edition, revised. Crown 8vo. cloth.

9s. 6d.

In preparing a fourth edition of this work the author has kept the same object in view as he had in the former editions—namely, to include in it such portions of Theoretical Mechanics as can be conveniently investigated without the use of the Differential Calculus, and so render it suitable as a manual for the junior classes in the University and the higher classes in Schools. With one or two short exceptions, the student is not presumed to require a knowledge of any branches of Mathematics beyond the elements of Algebra, Geometry, and Trigonometry. Several additional propositions have been incorporated in the work for the purpose of rendering it more complete; and the collection of Examples and Problems has been largely increased.

A TREATISE ON OPTICS. Third Edition, revised and enlarged. Crown 8vo. cloth. IOS. 6d.

A collection of examples and problems has been appended to this work, which are sufficiently numerous and varied in character to afford useful

exercise for the student. For the greater part of them, recourse has been had to the Examination Papers set in the University and the several Colleges during the last twenty years.

Phear.-ELEMENTARY HYDROSTATICS. With Numerous Examples. By J. B. PHEAR, M. A., Fellow and late Assistant Tutor of Clare College, Cambridge. Fourth Edition. Crown 8vo. cloth. 5s. 6d.

This edition has been carefully revised throughout, and many new illustrations and examples added, which it is hoped will increase its usefulness to students at the Universities and in Schools. In accordance with suggestions from many engaged in tuition, answers to all the Examples have been given at the end of the book.

Pratt.-A TREATISE ON ATTRACTIONS, LAPLACE'S FUNCTIONS, AND THE FIGURE OF THE EARTH. By JOHN H. PRATT, M. A., Archdeacon of Calcutta, Author of "The Mathematical Principles of Mechanical Philosophy." Fourth Edition. Crown 8vo. cloth. 6s. 6d.

The author's chief design in this treatise is to give an answer to the question, “Has the Earth acquired its present form from being originally in a fluid state?" This Edition is a complete revision of the former ones.

Puckle.-AN ELEMENTARY TREATISE ON CONIC SECTIONS AND ALGEBRAIC GEOMETRY. With Numerous Examples and Hints for their Solution; especially designed for the Use or Beginners. By G. H. PUCKLE, M. A., Head Master of Windermere College. New Edition, revised and enlarged. Crown 8vo. cloth. 7s. 6d.

This work is recommended by the Syndicate of the Cambridge Local Examinations, and is the text-book in Harvard University, U.S. The ATHENÆUM says the author "displays an intimate acquaintance with the difficulties likely to be felt, together with a singular aptitude in removing them."