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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.

A TREATISE on ANALYTICAL STATICS. With Ex-
amples. 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.

For Schools and Colleges.

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

The design of this work has been to render the subject intelligible to be-
ginners, and at the same time to afford the student the opportunity of ob-
taining all the information which he will require on this branch of Mathe-
matics. 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 Trigo-
nometry, to which it is intended as a sequel. Considerable labour has
been expended on the text in order to render it comprehensive and ac-
curate, and the Examples, which have been chiefly selected from Uni-
versity 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
the THEORY of

on

EQUATIONS. Second Edition, revised. Crown 8vo. cloth,

75. 6d.

PART I. Angles,

WILSON.-ELEMENTARY GEOMETRY.
Triangles, Parallels, 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.

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.

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..

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

Its

66 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. Second Edition. 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.

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.

OLIVER.-LESSONS

With

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.

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. Thousand. 18mo. cloth, 4s. 6d.

Ninth

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.

Uniform in size with

ATLAS of EUROPE. GLOBE EDITION.
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 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.
The identity of scale in all the Maps facilitates the comparison of extent and
distance, and conveys a just impression of the magnitude of different
Countries. The size suffices to show the Provincial Divisions, the Rail-
ways and Main Roads, the Principal Rivers and Mountain Ranges. As
a book it can be opened without the inconvenience which attends the use
of a folding 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.

BATES and LOCKYER.-A CLASS BOOK of GEOGRAPHY, adapted to the recent Programme of the Royal Geographical Society. By H. W. BATES and J. N. LOCKYER, F. R.A.S.

[In the Press. CAMEOS from ENGLISH HISTORY. From Rollo to Edward II. By the Author of "The Heir of Redclyffe." Extra fcap. 8vo. 5s. "Contains a large amount of information in a concentrated form, and so skilfully and well is the adventurous, personal, and dramatic element brought out, that any boy of intelligence will find these narratives as fascinating as the most exciting fiction ever penned."—London Review. EARLY EGYPTIAN HISTORY for the Young. With Descriptions of the Tombs and Monuments. New Edition, with Frontispiece. Fcap. 8vo. 5s.

"Written with liveliness and perspicuity."-Guardian.

"Artistic appreciation of the picturesque, lively humour, unusual aptitude for handling the childish intellect, a pleasant style, and sufficient learning, altogether free from pedantic parade, are among the good qualities of this volume, which we cordially recommend to the parents of inquiring and book-loving boys and girls."-Athenæum.

"This is one of the most perfect books for the young that we have ever seen. We know something of Herodotus and Rawlinson, and the subject is certainly not new to us; yet we read on, not because it is our duty, but for very pleasure. The author has hit the best possible way of interesting any one, young or old."-Literary Churchman.

HOLE.-A GENEALOGICAL STEMMA of the KINGS of ENGLAND and FRANCE. By the Rev. C. HOLE. In One Sheet.

IS.

A BRIEF BIOGRAPHICAL DICTIONARY. Compiled and
Arranged by CHARLES HOLE, M. A., Trinity College, Cambridge.
Second Edition, 18mo., neatly and strongly bound in cloth,
4s. 6d.

The most comprehensive Biographical Dictionary in English,-containing
more than 18,000 names of persons of all countries, with dates of birth and
death, and what they were distinguished for.

"An invaluable addition to our manuals of reference, and from its moderate
price, it cannot fail to become as popular as it is useful."-Times.
"Supplies a universal want among students of all kinds. It is a neat, com-
pact, well printed little volume, which may go into the pocket, and should
be on every student's table, at hand, for reference."-Globe.

HOUSEHOLD (A) BOOK OF ENGLISH POETRY. Selected and arranged, with Notes, by R. C. TRENCH, D.D., Archbishop of Dublin. Extra fcap. 8vo. 5s. 6d.

"Remarkable for the number of fine poems it contains that are not found in
other collections."-Express.

"The selection is made with the most refined taste, and with excellent
judgment."-Birmingham Gazette.

JEPHSON.-SHAKESPEARE'S TEMPEST.

With Glossary and 18mo. is. 6d.

Explanatory Notes. By the Rev. J. M. JEPHSON.

"His notes display a thorough familiarity with our older English literature, and his preface is so full of intelligent critical remark, that many readers will wish that it were longer."-Guardian.

OPPEN.-FRENCH

READER. For the use of Colleges and Schools. Containing a Graduated Selection from Modern Authors in Prose and Verse; and copious Notes, chiefly Etymological. By EDWARD A. OPPEN. Fcap. 8vo. cloth, 4s. 6d.

"Mr. Oppen has produced a French Reader, which is at once moderate yet full, informing yet interesting, which in its selections balances the moderns fairly against the ancients. . . . . The examples are chosen with taste and skill, and are so arranged as to form a most agreeable course of French reading. An etymological and biographical appendix constitutes a very valuable feature of the work."-Birmingham Daily Post.

A SHILLING BOOK of GOLDEN DEEDS. A Reading-Book for
Schools and General Readers. By the Author of "The Heir of
Redclyffe." 18mo. cloth.

"To collect in a small handy volume some of the most conspicuous of these
(examples) told in a graphic and spirited style, was a happy idea, and the
result is a little book that we are sure will be in almost constant demand in
the parochial libraries and schools for which it is avowedly intended."-
Educational Times.

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