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14

EDUCATIONAL BOOKS.

SMITH.-Works by Barnard Smith, M.A.—Continued.

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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.

With

TAIT and STEELE.-DYNAMICS of a PARTICLE. 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 Svo. cloth, 7s. 6d.

TEBAY-ELEMENTARY MENSURATION for SCHOOLS. With numerous Examples. By SEPTIMUS TEBAY, B.A., Head Master of Queen Elizabeth's Grammar School, Rivington. Extra fcap. 8vo. 3s. 6d.

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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.

KEY to ALGEBRA for BEGINNERS.

Crown 8vo., cl., 6s. 6d.
BEGINNERS. With
New Edition. 18mo. cloth, 2s. 6d.

TRIGONOMETRY for

Examples.

numerous

Intended to serve as an introduction to the larger treatise on Plane Trigo-
nometry, 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.
18mo. cloth, 4s. 6d.

With numerous Examples.

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.

CALCULUS.

A TREATISE on the DIFFERENTIAL
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.

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.
ALGEBRA. For the use of Colleges and Schools.
Edition. Crown 8vo. cloth, 7s. 6d.

Fourth

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.

16

EDUCATIONAL BOOKS.

TODHUNTER.—-Works by I. Todhunter, M.A.-Continued. PLANE TRIGONOMETRY. 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. A TREATISE ON SPHERICAL

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 Edit., revised. Cr. 8vo. cl., 7s. 6d. WILSON.-ELEMENTARY GEOMETRY. PART I. Angles, Parallels, Triangles, and Equivalent Figures, with the Application to Problems. By J. M. WILSON, M. A., Fellow of St. John's College, Cambridge, and Mathematical Master in Rugby School. Extra fcap. 8vo. 2s. 6d.

"It is an actual substitute for the first two books of Euclid, in which many of his propositions are drawn out from the conception of straightness, parallelism, angles, with wonderful ease and simplicity, and the methods employed have the great merit of suggesting a ready application to the solution of fresh problems."-Guardian.

ELEMENTARY GEOMETRY, PART II. THE CIRCLE AND PROPORTION. By J. M. WILSON, M.A. Extra fcap. 8vo. 2s. 6d. 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 PROBLEMS 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.

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AIRY-POPULAR ASTRONOMY. With Illustrations. By G. B. AIRY, Astronomer Royal. Sixth and Cheaper Edition. 18mo. cloth, 4s. 6d.

Its

"Popular Astronomy in general has many manuals; but none of them supersede the Six Lectures of the Astronomer Royal under that title. speciality is the direct way in which every step is referred to the observatory, and in which the methods and instruments by which every observation is made are fully described. This gives a sense of solidity and substance to astronomical statements which is obtainable in no other way.”—Guardian.

GEIKIE.-ELEMENTARY LESSONS in PHYSICAL GEOLOGY. BY ARCHIBALD GEIKIE, F.R.S., Director of the Geological Survey of Scotland. [Preparing. HUXLEY.-LESSONS in ELEMENTARY PHYSIOLOGY. With numerous Illustrations. By T. H. HUXLEY, F.R.S., Professor of Natural History in the Royal School of Mines. Seventh Thousand. 18mo. cloth, 4s. 6d.

"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.

QUESTIONS on HUXLEY'S PHYSIOLOGY for SCHOOLS. By T. ALCOCK, M.D. 18mo. Is. 6d.

LOCKYER.-ELEMENTARY LESSONS in

ASTRONOMY.

With Coloured Diagram of the Spectra of the Sun, Stars, and
Nebulæ, and numerous Illustrations. By J. NORMAN LOCKYER,
F.R.A.S. 18mo. 5s. 6d.

"Forms an admirable introduction to the study of astronomy. While divested
of anything like irrelevant disquisition it is popular in its method of treat-
ment, and written in clear and easily comprehended language."-Educa-
tional Times.

"It is remarkably clear and compact, the illustrations are also of unusual excellence. No other book on the subject that we know is at once so small and so good."-Guardian.

18

EDUCATIONAL BOOKS.

OLIVER.-LESSONS IN ELEMENTARY BOTANY. With nearly Two Hundred Illustrations. By DANIEL OLIVER, F.R.S., F.L.S. Fourth 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.

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. Twelfth 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.

MISCELLANEOUS.

ATLAS of EUROPE.

GLOBE EDITION.

Uniform in size with Macmillan's Globe Series, containing 48 Coloured Maps, on the same scale Plans of London and Paris, and a copious Index, strongly bound in half-morocco, with flexible back. 95.

NOTICE.-This Atlas includes all the Countries of Europe in a Series of
Forty-eight Maps, drawn on the same scale, with an Alphabetical Index to
the situation of more than 10,000 Places; and the relation of the various
Maps and Countries to each other is defined in a general Key-Map.
"In the series of works which Messrs. Macmillan and Co. are publishing
under this general title (Globe Series) they have combined portableness
with scholarly accuracy and typographical beauty, to a degree that is
almost unprecedented. Happily they are not alone in employing the
highest available scholarship in the preparation of the most elementary
educational works; but their exquisite taste and large resources secure an
artistic result which puts them almost beyond competition.
This little
atlas will be an invaluable boon for the school, the desk, or the traveller's
portmanteau."-British Quarterly Review.

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