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MATHEMATICAL BOOKS.

BOOLE.-Works by G. Boole, D.C.L., F.R.S.-Continued.

7

A TREATISE ON DIFFERENTIAL EQUATIONS. Sup-
Edited by I. TODHUNTER. Crown 8vo.

plementary Volume.

cloth, 8s. 6d.

THE CALCULUS OF FINITE DIFFERENCES.

8vo. cloth, 10s. 6d.

Crown

This work is in some measure designed as a sequel to the Treatise on
Differential Equations, and is composed on the same plan.

CAMBRIDGE SENATE-HOUSE PROBLEMS and RIDERS,
WITH SOLUTIONS:-

1848-1851.-PROBLEMS. By FERRERS and JACKSON. 8vo. cloth. 15s. 6d.

1848-1851.-RIDERS. BY JAMESON. 8vo. cloth.

7s. 6d.

1854.-PROBLEMS and RIDERS. By WALTON and MACKENZIE, 8vo. cloth. IOS. 6d.

1857.-PROBLEMS and RIDERS. 8vo. cloth. 8s. 6d.

1860.-PROBLEMS and RIDERS. Crown 8vo. cloth.

7s. 6d.

By CAMPION and WALTON.

By WATSON and ROUTH.

1864-PROBLEMS and RIDERS. BY WALTON and WILKINSON. 8vo. cloth. IOS. 6d.

CAMBRIDGE COURSE OF ELEMENTARY NATURAL PHILOSOPHY, for the Degree of B.A. Originally compiled by J. C. SNOWBALL, M. A., late Fellow of St. John's College. Fifth Edition, revised and enlarged, and adapted for the Middle-Class Examinations by THOMAS LUND, B. D., Late Fellow and Lecturer of St. John's College; Editor of Wood's Algebra, &c. Crown 8vo. cloth. 5s.

This work will be found suited to the wants, not only of University Students, but also of many others who require a short course of Mechanics and Hydrostatics, and especially of the Candidates at our Middle-Class Examinations.

CAMBRIDGE AND DUBLIN MATHEMATICAL JOURNAL. THE COMPLETE WORK, in Nine Vols. 8vo. cloth. £7 45.

(Only a few copies remain on hand.)

CHEYNE.-AN ELEMENTARY TREATISE on the PLANET

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MACMILLAN AND CO'S

By

CHILDE.-THE SINGULAR PROPERTIES of the ELLIPSOID and ASSOCIATED SURFACES of the Nth DEGREE. the Rev. G. F. CHILDE, M.A., Author of "Ray Surfaces," "Related Caustics," &c. 8vo. 10s. 6d.

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CHRISTIE.-A COLLECTION OF ELEMENTARY TESTQUESTIONS in PURE and MIXED MATHEMATICS; with Answers and Appendices on Synthetic Division, and on the Solution of Numerical Equations by Horner's Method. By JAMES R. CHRISTIE, F.R.S., late First Mathematical Master at the Royal Military Academy, Woolwich. Crown 8vo. cloth, 8s. 6d. The Series of Mathematical Exercises here offered to the public is collected from those which the author has from time to time proposed for solution by his pupils during a long career at the Royal Military Academy; they are in the main original: and having well fulfilled the purpose for which they were first framed, it is hoped they may be made still more widely useful.

DALTON.-ARITHMETICAL EXAMPLES. Progressively arranged, with Exercises and Examination Papers. By the Rev. T. DALTON, M.A., Assistant Master of Eton College. 18mo. cloth. 2s. 6d.

DREW.-GEOMETRICAL TREATISE on CONIC SECTIONS. By W. H. DREW, M. A., St. John's College, Cambridge. Third Edition. Crown 8vo. cloth, 4s. 6d.

In this work the subject of Conic Sections has been placed before the student in such a form that, it is hoped, after mastering the elements of Euclid, he may find it an easy and interesting continuation of his geometrical studies. With a view also of rendering the work a complete Manual of what is required at the Universities, there have been either embodied into the text, or inserted among the examples, every book-work question, problem, and rider, which has been proposed in the Cambridge examinations up to the present time.

DREW.-SOLUTIONS to the PROBLEMS in DREW'S CONIC SECTIONS. Crown 8vo. cloth, 4s. 6d.

FERRERS.-AN ELEMENTARY TREATISE on TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projections. By the Rev. N. M. FERRERS, M.A., Fellow and Tutor of Gonville and Caius College, Cambridge. Second Edition. Crown 8vo. 6s. 6d.

The object of the author in writing on this subject has mainly been to place it on a basis altogether independent of the ordinary Cartesian system, instead of regarding it as only a special form of Abridged Notation. A short chapter on Determinants has been introduced.

MATHEMATICAL BOOKS.

9

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.

GODFRAY.-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.

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MACMILLAN AND CO:'S

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.
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.

MATHEMATICAL BOOKS.

II

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. [In the Press.

This work will, it is hoped, be found to contain all that is required by the upper classes of Schools and by the generality of students at the Universities.

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.

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. In preparing a new edition, the proofs of some of the more important propositions have been rendered more strict and general; and a considerable addition of more than Two hundred Examples, taken principally from the questions in the Examinations of Colleges and the University, has been made to the collection of Examples and Problems for practice.

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