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JONES and CHEYNE.-ALGEBRAICAL EXERCISES. Progressively arranged. By the Rev. C. A. JONES, M.A., and C. H. CHEYNE, M. A., 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.

MORGAN.-A COLLECTION of PROBLEMS and EXAMPLES 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.

PARKINSON.-Works by S. Parkinson, B.D., Fellow and Prælector 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. Third
Edition, revised. Crown 8vo. cloth, 9s. 6d.

The author has endeavoured to render the present volume suitable as a
Manual for the junior classes in Universities and the higher classes in
Schools. In the Third Edition 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. Second Edition, revised. Crown 8vo. cloth, 10s. 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.

Subjoined to the copious Table of Contents the author has ventured to indicate an elementary course of reading not unsuitable for the requirements of the First Three Days in the Cambridge Senate-House Examinations.

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.

"An excellent Introductory Book. The definitions are very clear; the descriptions and explanations are sufficiently full and intelligible; the investigations are simple and scientific. The examples greatly enhance its value."-English Journal of Education.

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." Third Edition. Crown 8vo. cloth, 6s. 6d.

PUCKLE.

AN ELEMENTARY TREATISE on CONIC SECTIONS and ALGEBRAIC GEOMETRY. With Easy Examples, progressively arranged; especially designed for the use of Schools and Beginners. By G. H. PUCKLE, M.A., St. John's College, Cambridge, Head Master of Windermere College. Third Edition, enlarged and improved. Crown 8vo. cloth, 75. 6d.

The work has been completely re-written, and a considerable amount of new matter has been added, to suit the requirements of the present time.

RAWLINSON.-ELEMENTARY STATICS. By G. RAWLIN-
SON, M.A. Edited by EDWARD STURGES, M. A., of Emmanuel
College, Cambridge, and late Professor of the Applied Sciences,
Elphinstone College, Bombay. Crown 8vo. cloth. 4s. 6d.

Published under the authority of H. M. Secretary of State for use in the
Government Schools and Colleges in India.

"This Manual may take its place among the most exhaustive, yet clear and
simple, we have met with, upon the composition and resolution of forces,
equilibrium, and the mechanical powers."-Oriental Budget.

ROUTH-AN ELEMENTARY TREATISE on the DYNAMICS of a SYSTEM of RIGID BODIES. With Examples. By EDWARD JOHN ROUTH, M.A., Fellow and Assistant Tutor of St. Peter's College, Cambridge; Examiner in the University of London. Crown 8vo. cloth, 10s. 6d.

SMITH.-A TREATISE on ELEMENTARY STATICS. By J. H. SMITH, M.A., Gonville and Caius College, Cambridge. 8vo. 5s. 6d.

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 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.

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 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. strongly bound in 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 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, 4s. AN ELEMENTARY TREATISE on the THEORY of EQUATIONS. Second Edition, revised. Crown 8vo. cloth,

7s. 6d.

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