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SMITH.-Works by Barnard Smith, M.A., Rector of Glaston, Rutlandshire, late Fellow and Senior Bursar of St. Peter's College, Cambridge: :

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ARITHMETIC and ALGEBRA, in their Principles and Application, with numerous Systematically arranged Examples, taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for B.A. Degree. Tenth Edition. Crown 8vo. cloth, 10s. 6d.

This work is now extensively used in Schools and Colleges both at home and
in the Colonies. It has also been found of great service for students pre-
paring for the MIDDLE-CLASS AND CIVIL AND MILITARY SERVICE Ex-
AMINATIONS, from the care that has been taken to elucidate the principles
of all the Rules.

ARITHMETIC FOR SCHOOLS.
8vo. cloth, 4s. 6d.

New Edition.

Crown

COMPANION to ARITHMETIC for SCHOOLS. [Preparing.

A KEY to the ARITHMETIC for SCHOOLS. Fifth Edition.
Crown 8vo., cloth, 8s. 6d.

EXERCISES in ARITHMETIC.

With Answers.

Crown 8vo. limp cloth, 2s. 6d. Or sold separately, as follows:-Part I. Is.; Part II. Is. ANSWERS, 6d.

These Exercises have been published in order to give the pupil examples in every rule of Arithmetic. The greater number have been carefully compiled from the latest University and School Examination Papers.

SCHOOL CLASS-BOOK of ARITHMETIC.

18mo. cloth, 35. Or sold separately, Parts I. and II. 10d. each; Part III. Is. · KEYS to SCHOOL CLASS-BOOK of ARITHMETIC. Complete in one Volume, 18mo., cloth, 6s. 6d. ; or Parts I., II., and III. 2s. 6d. each.

SHILLING BOOK of ARITHMETIC for NATIONAL and ELEMENTARY SCHOOLS. 18mo. cloth. Or separately, Part I. 2d.; Part II. 3d.; Part III. 7d. ANSWERS, 6d.

THE SAME, with Answers complete. 18mo. cloth, Is. 6d.

KEY to SHILLING BOOK of ARITHMETIC.

4s. 6d.

18mo. cloth,

EXAMINATION PAPERS in ARITHMETIC. In Four 18mo. cloth, Is. 6d. THE SAME, with Answers, 18mo.

Parts.
Is. 9d.

KEY to

EXAMINATION PAPERS in ARITHMETIC. 18mo. cloth, 4s. 6d.

SNOWBALL.-PLANE and SPHERICAL TRIGONOMETRY. With the Construction and Use of Tables of Logarithms. By J. C. SNOWBALL. Tenth Edition. Crown 8vo. cloth, 7s. 6d. TAIT and STEELE.-DYNAMICS of a PARTICLE. With Examples. By Professor TAIT and Mr. STEELE. New Edition. Crown 8vo. cloth, 10s. 6d.

In this Treatise will be found all the ordinary propositions connected with the Dynamics of Particles which can be conveniently deduced without the use of D'Alembert's Principles. Throughout the book will be found a number of illustrative Examples introduced in the text, and for the most part completely worked out; others, with occasional solutions or hints to assist the student, are appended to each Chapter.

TAYLOR.—GEOMETRICAL CONICS; including Anharmonic Ratio and Projection, with numerous Examples. By C. TAYLOR, B.A., Scholar of St. John's College, Cambridge. Crown 8vo. cloth, 7s. 6d.

TODHUNTER.—Works by I. Todhunter, M.A., F.R.S., Fellow and Principal Mathematical Lecturer of St. John's College, Cambridge:

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THE ELEMENTS of EUCLID for the use of COLLEGES
and SCHOOLS. New Edition. 18mo. cloth, 3s. 6d.

ALGEBRA for BEGINNERS. With numerous Examples.
New Edition. 18mo. cloth, 2s. 6d.

Great pains have been taken to render this work intelligible to young students
by the use of simple language and by copious explanations. In accord-
ance with the recommendation of teachers, the examples for exercises are
very numerous.

KEY to ALGEBRA for BEGINNERS. Crown 8vo., cl., 6s. 6d.
TRIGONOMETRY

for BEGINNERS.
Examples. 18mo. cloth, 2s. 6d.

With

numerous

Intended to serve as an introduction to the larger treatise on Plane Trigonometry, published by the author. The same plan has been adopted as in the Algebra for Beginners: the subject is discussed in short chapters, and a collection of examples is attached to each chapter.

MECHANICS for BEGINNERS. With numerous Examples. 18mo. cloth, 4s. 6d.

Intended as a companion to the two preceding books. The work forms an elementary treatise on Demonstrative Mechanics. It may be true that this part of mixed mathematics has been sometimes made too abstract and speculative; but it can hardly be doubted that a knowledge of the elements at least of the theory of the subject is extremely valuable even for those who are mainly concerned with practical results. The author has accordingly endeavoured to provide a suitable introduction to the study of applied as well as of theoretical Mechanics.

TODHUNTER.-Works by I. Todhunter, M.A.-Continued.
A TREATISE on the DIFFERENTIAL CALCULUS.
With Examples. Fourth Edition. Crown 8vo. cloth, 10s. 6d.
A TREATISE on the INTEGRAL CALCULUS. Third
Edition, revised and enlarged. With Examples. Crown 8vo.
cloth, 10s. 6d.

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A TREATISE on ANALYTICAL STATICS. With Examples. Third Edition, revised and enlarged. Crown 8vo. cloth, IOS. 6d.

PLANE CO-ORDINATE GEOMETRY, as applied to the
Straight Line and the CONIC SECTIONS.
With numerous
Examples. Fourth Edition. Crown 8vo. cloth, 7s. 6d.

Fourth

ALGEBRA. For the use of Colleges and Schools. Edition. Crown 8vo. strongly bound in cloth, 7s. 6d. This work contains all the propositions which are usually included in elementary treatises on Algebra, and a large number of Examples for Exercise. The author has sought to render the work easily intelligible to students without impairing the accuracy of the demonstrations, or contracting the limits of the subject. The Examples have been selected with a view to illustrate every part of the subject, and as the number of them is about Sixteen hundred and fifty, it is hoped they will supply ample exercise for the student. Each set of Examples has been carefully arranged, commencing with very simple exercises, and proceeding gradually to those which are less obvious.

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For Schools and Colleges.

Third Edition. Crown 8vo. cloth, 5s.

The design of this work has been to render the subject intelligible to beginners, and at the same time to afford the student the opportunity of obtaining all the information which he will require on this branch of Mathematics. Each chapter is followed by a set of Examples; those which are entitled Miscellaneous Examples, together with a few in some of the other sets, may be advantageously reserved by the student for exercise after he has made some progress in the subject. In the Second Edition the hints for the solution of the Examples have been considerably increased.

SPHERICAL

A TREATISE ON TRIGONOMETRY. Second Edition, enlarged. Crown 8vo. cloth, 4s. 6d.

This work is constructed on the same plan as the Treatise on Plane Trigonometry, to which it is intended as a sequel. Considerable labour has been expended on the text in order to render it comprehensive and accurate, and the Examples, which have been chiefly selected from University and College Papers, have all been carefully verified.

EXAMPLES of ANALYTICAL GEOMETRY of THREE DIMENSIONS. Second Edition, revised. Crown 8vo. cloth, 45. AN ELEMENTARY TREATISE on the THEORY of EQUATIONS. Second Edition, revised. Crown 8vo. cloth,

7s. 6d.

SCIENCE.

17

WILSON.-ELEMENTARY GEOMETRY FOR SCHOOLS.
PART I. The Angle, Triangle, Parallels, and Equivalent Forces,
with the Application of Problems. By J. M. WILSON, M. A.,
Fellow of St. John's College, Cambridge, and Assistant Master in
Rugby School.
[In the Press.

A TREATISE on DYNAMICS. By W. P. WILSON, M. A.,
Fellow of St. John's College, Cambridge; and Professor of
Mathematics in Queen's College, Belfast. 8vo. 9s. 6d.

WOLSTENHOLME.-A BOOK of MATHEMATICAL PROB-
LEMS on subjects included in the Cambridge Course. By JOSEPH
WOLSTENHOLME, Fellow of Christ's College, sometime Fellow of
St. John's College, and lately Lecturer in Mathematics at Christ's
College. Crown 8vo. cloth, 8s. 6d.

CONTENTS: Geometry (Euclid).—Algebra.-Plane Trigonometry.-Conic Sections, Geometrical.-Conic Sections, Analytical.—Theory of Equations. -Differential Calculus.-Integral Calculus.-Solid Geometry-Statics.Dynamics, Elementary.-Newton.-Dynamics of a Point.-Dynamics of a Rigid Body.-Hydrostatics.-Geometrical Optics.-Spherical Trigonometry and Plane Astronomy.

In each subject the order of the Text-Books in general use in the University of Cambridge has been followed, and to some extent the questions have been arranged in order of difficulty. The collection will be found to be unusually copious in problems in the earlier subjects, by which it is designed to make the work useful to mathematical students, not only in the Universities, but in the higher classes of public schools.

SCIENCE.

GEIKIE.-ELEMENTARY LESSONS in PHYSICAL GEOLOGY. BY ARCHIBALD GEIKIE, F.R.S., Director of the Geological Survey of Scotland.

HUXLEY.-LESSONS in

[Preparing.

ELEMENTARY PHYSIOLOGY.

With numerous Illustrations. By T. H. HUXLEY, F.R.S., Professor of Natural History in the Royal School of Mines. Thousand. 18mo. cloth, 4s. 6d.

Fifth

"It is a very small book, but pure gold throughout. There is not a waste sentence, or a superfluous word, and yet it is all clear as daylight. It exacts close attention from the reader, but the attention will be repaid by a real acquisition of knowledge. And though the book is so small, it manages to touch on some of the very highest problems.. The whole book shows how true it is that the most elementary instruction is best given by the highest masters in any science."-Guardian.

"The very best descriptions and explanations of the principles of human physiology which have yet been written by an Englishman."-Saturday Review.

LOCKYER.-ELEMENTARY LESSONS in ASTRONOMY, with numerous Illustrations. By J. NORMAN LOCKYER.

[Preparing.

With

OLIVER.-LESSONS IN ELEMENTARY BOTANY. nearly Two Hundred Illustrations. By DANIEL OLIVER, F.R.S., F.L.S. Third Thousand. 18mo. cloth, 4s. 6d.

"The manner is most fascinating, and if it does not succeed in making this division of science interesting to every one, we do not think anything can. Nearly 200 well executed woodcuts are scattered through the text, and a valuable and copious index completes a volume which we cannot praise too highly, and which we trust all our botanical readers, young and old, will possess themselves of."-Popular Science Review.

To this system we now wish to direct the attention of teachers, feeling
satisfied that by some such course alone can any substantial knowledge of
plants be conveyed with certainty to young men educated as the mass of
our medical students have been. We know of no work so well suited to
direct the botanical pupil's efforts as that of Professor Oliver's, who, with
views so practical and with great knowledge too, can write so accurately
and clearly."-Natural History Review.

"It is very simple, but truly scientific, and written with such a clearness
which shows Professor Oliver to be a master of exposition...
No one
could have thought that so much thoroughly correct botany could have
been so simply and happily taught in one volume."-American Journal
of Science and Arts.

ROSCOE.-LESSONS in ELEMENTARY CHEMISTRY, Inorganic and Organic. By HENRY ROSCOE, F.R.S., Professor of Chemistry in Owen's College, Manchester. With numerous Illustrations and Chromo-Litho. of the Solar Spectra. Seventh Thousand. 18mo. cloth, 4s. 6d.

It has been the endeavour of the author to arrange the most important facts and principles of Modern Chemistry in a plain but concise and scientific form, suited to the present requirements of elementary instruction. For the purpose of facilitating the attainment of exactitude in the knowledge of the subject, a series of exercises and questions upon the lessons have been added. The metric system of weights and measures, and the centigrade thermometric scale, are used throughout the work.

"A small, compact, carefully elaborated and well arranged manual."— Spectator.

"It has no rival in its field, and it can scarcely fail to take its place as the text-book at all schools where chemistry is now studied."-Chemical News. "We regard Dr. Roscoe's as being by far the best book from which a student can obtain a sound and accurate knowledge of the facts and principles of rudimentary chemistry."-The Veterinarian.

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