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FROST. THE FIRST THREE SECTIONS of NEWTON'S PRINCIPIA. With Notes and Illustrations. Also a Collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, M.A., late Fellow of St. John's College, Mathematical Lecturer of King's College, Cambridge. Second Edition. 8vo. cloth, 10s. 6d.

The author's principal intention is to explain difficulties which may be encountered by the student on first reading the Principia, and to illustrate the advantages of a careful study of the methods employed by Newton, by showing the extent to which they may be applied in the solution of problems; he has also endeavoured to give assistance to the student who is engaged in the study of the higher branches of Mathematics, by representing in a geometrical form several of the processes employed in the Differential and Integral Calculus, and in the analytical investigations of Dynamics.

FROST and WOLSTENHOLME.—A TREATISE ON SOLID GEOMETRY. 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 as they have done to make the subject accessible, at least in the earlier portion, to all classes of students, they have endeavoured to explain fully 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; there they have 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.—A TREATISE on ASTRONOMY, for the use of Colleges and Schools. By HUGH GODFRAY, M.A., Mathematical Lecturer at Pembroke College, Cambridge. 8vo. cloth. 12s. 6d. "We can recommend for its purpose a very good Treatise on Astronomy by Mr. Godfray. It is a working book, taking astronomy in its proper place in mathematical science. But it begins with the elementary definitions, and connects the mathematical formulæ very clearly with the visible aspect of the heavens and the instruments which are used for observing it."-Guardian.

AN ELEMENTARY TREATISE on the LUNAR THEORY.
With a brief Sketch of the Problem up to the time of Newton.
By HUGH GODFRAY, M.A. Second Edition, revised. Crown
8vo. cloth. 5s. 6d.

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. 9s.

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 :

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For

AN ELEMENTARY TREATISE ON MECHANICS.
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.
8vo. cloth, 10s. 6d.

Second Edition, revised. Crown

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.

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With numerous

PHEAR.-ELEMENTARY HYDROSTATICS.
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 de-
scriptions and explanations are sufficiently full and intelligible; the in-
vestigations 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. Svo. 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 ARITHETIC 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. 45. 6d.

EXAMINATION PAPERS in ARITHMETIC.

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In Four

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

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 :

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

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

With numerous Examples.

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. With
Examples. 18mo. cloth, 2s. 6d.

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.

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