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Boole-continued.

This volume contains all that Professor Boole wrote for the purpose of enlarging his treatise on Differential Equations.

THE CALCULUS OF FINITE DIFFERENCES. Crown Svo.

cloth. 1os. 6d. New Edition, revised by J. F. MOULTON. In this exposition of the Calculus of Finite Differences, particular attention has been paid to the connection of its methods with those of the Differential Calculus-a connection which in some instances involves far more than a merely formal analogy. The work is in some measure designed as a sequel to Professor Boole's Treatise on Differential Equations. “ As an original book by one of the first mathematicians of the age, it is out of all comparison with the mere second-hand compilations which have hitherto been alone accessible to the student." —PHILOSOPHICAL MAGAZINE.

Brook - Smith (J.)-ARITHMETIC IN THEORY AND

PRACTICE. By J. BROOK-SMITH, M.A., LL.B., St. John's
College, Cambridge; Barrister-at-Law; one of the Masters of
Cheltenham College. Complete, Crown 8vo. 45. 6d. Part I.

35. 6d. Writers on Arithmetic at the present day feel the necessity of explaining the principles on which the rules of the subject are based, but few as yet feel the necessity of making these explanations strict and complete. If the science of Arithmetic is to be made an effective instrument in developing and strengthening the mental powers, it ought to be worked out rationally and conclusively; and in this work the author has endeavoured to reason out in a clear and accurate manner the leading propositions of the science, and to illustrate and apply those propositions in practice. In the practical part of the subject he has advanced somewhat beyond the majority of preceding writers ; particularly in Division, in Greatest Common Measure, in Cube Root, in the Chapters on Decimal Money and the Metric System, and more especially in the application of Decimals to Percentages and cognate subjects. Copious examples, original and selected, are given. This strikes us as a valuable Manual of Arithmetic of the Scientific kind. Indeed, this really appears to us the best we have seen.

-LITERARY CHURCHMAN. “ This is an essentially practical book, providing very difinite help to candidates for almost every kind of competitive examination.— BRITISH QUARTERLY.

Cambridge Senate-House Problems and Riders,

WITH SOLUTIONS :-
1848-1851.–PROBLEMS. By FERRERS and JACKSON. Svo.

cloth. 155. 6d.
1848-1851.-RIDERS. By JAMESON. Svo. cloth. 75. 6d.
1854.— PROBLEMS AND RIDERS. By WALTON and

MACKENZIE. 8vo. cloth. 1os. 6d. 1857.— PROBLEMS AND RIDERS. BY CAMPION and

WALTON. 8vo. cloth. 8s. 6d. 1860.-PROBLEMS AND RIDERS. By WATSON and ROUTH.

Crown 8vo. cloth. 75. 6d. 1864.-PROBLEMS AND RIDERS. By Walton and Wil

KINSON. 8vo. cloth. 1os. 6d.
These volumes will be found of great value to Teachers and Students, as
indicating the style and range of mathematical study in the University of
Cambridge.
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 adapted 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. At the end of each chapter a series of easy questions is added for the exercise of the student. CAMBRIDGE AND DUBLIN MATHEMATICAL JOURNAL.

The Complete Work, in Nine Vols. 8vo. cloth. 71. 45. Only a few copies remain on hand. Among Contributors to this work will be found Sir W. Thomson, Stokes, Adams, Boole, Sir W. R. Hamilton, De Morgan, Cayley, Sylvester, Jellett, and other distinguished mathematicians.

Candler.-HELP TO ARITHMETIC. Designed for the use of

Schools. By H. CANDLER, M.A., Mathematical Master of
Uppingham School. Extra fcap. 8vo. 25. 6d.

This work is intended as a companion to any text book that may be in use. The main difficulties which boys experience in the different rules are skilfully dealt with and removed.—MUSEUM.

Cheyne.-Works by C. H. H. CHEYNE, M.A., F.R.A.S.
AN ELEMENTARY TREATISE ON THE PLANETARY

THEORY. With a Collection of Problems. Second Edition.

Crown 8vo. cloth. 6s. 6d. In this volume an attempt has been made to produce a treatise on the Planetary theory, which, being elementary in character, should be so far complete as to contain all that is usually required by students in the University of Cambridge. In the New Edition the work has been carefully revised. The stability of the Planetary System has been more fully treated, and an elegant geometrical explanation of the formula for the secular variation of the node and inclination has been introduced. THE EARTH'S MOTION OF ROTATION. Crown 8vo.

35. 6d. The first part of this work consists of an application of the method of the variation of elements to the general problem. of rotation. In the second part the general rotation formula are applied to the particular case of the earth.

Childe.—THE SINGULAR PROPERTIES OF THE ELLIP.

SOID AND ASSOCIATED SURFACES OF THE NTH
DEGREE. By the Rev. G. F. ChildE, M.A., Author of

“Ray Surfaces,” “Related Caustics,” &c. 8vo. Ios. 6d. The object of this volume is to develop peculiarities in the Ellipsoid; and, further, to establish analogous properties in the unlimited congeneric series of which this remarkable surface is a constituent.

Christie.-A COLLECTION OF ELEMENTARY TEST.

QUESTIONS 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 Maste. at the Royal Military Academy, Woolwich. Crown 8vo. cloth. 8s. 6d. This series of Mathematical Exercises 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. A student who finds that he is able to solve the larger portion of these Exercises, may consider that he is thoroughly well grounded in the elementary principles of pure and mixed Mathematics.

Dalton.-ARITHMETICAL EXAMPLES. Progressively

arranged, with Exercises and Examination Papers. By the Rev. T. DALTON, M.A., Assistant Master of Eton College. New Edition. 18mo. cloth. 25. 6d. Answers to the Examples are appended.

Day.-- PROPERTIES OF CONIC SECTIONS PROVED

GEOMETRICALLY. PART I., THE ELLIPSE, with Problems. By the Rev. H. G. DAY, M.A., Head Master of Sedburgh Grammar School. Crown 8vo. 35. 6d. The object of this book is the introduction of a treatment of Conic Sections which should be simple and natural, and lead by an easy transition to the analytical methods, without departing from the strict geometry of Euclid.

Dodgs011.-AN ELEMENTARY TREATISE ON DETER

MINANTS, with their Application to Simultaneous Linear Equations and Algebraical Geometry. By CHARLES L. DODGSON, M.A., Student and Mathematical Lecturer of Christ Church, Oxford. Small 4to. cloth. 1os. 6d. The object of the author is to present the subject as a continuous chain of argument, separated from all accessories of explanation or illustration. All such explanation and illustration as seemed necessary for a beginner are introduced, either in the form of foot-notes, or, where that would have occupied too much room, of Appendices. The work,says the EDUCATIONAL TIMES, “ forms a valuable addition to the treatises we possess on Modern Algebra.

Drew.-GEOMETRICAL TREATISE ON CONIC SEC.

TIONS. By W. H. DREW, M.A., St. John's College, Cambridge.

Fourth Edition. Crown 8vo. cloth. 45. 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 Drew-continued. 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 either been 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. SOLUTIONS TO THE PROBLEMS IN DREW'S CONIC

SECTIONS. Crown 8vo. cloth. 45. 6d.

Earnshaw (S.) — PARTIAL DIFFERENTIAL EQUA

TIONS. An Essay towards an entirely New Method of Integrating them. By S. EARNSHAW, M.A., St. John's College,

Cambridge. Crown 8vo. 55.

The peculiarity of the system expounded in this work is, that in every equation, whatever be the number of original independent variables, the work of integration is at once reduced to the use of one independent variable only. The author's object is merely to render his method thoroughly intelligible. The various steps of the investigation are all obedient to one general principle, and though in some degree novel, are not really difficult, but on the contrary easy when the eye has become accustomed to the novelties of the notation. Many of the results of the integrations are far more general than they were in the shape in which they have appeared in former treatises, and many Equations will be found in this Essay integrated with ease in finite terms which were never so integrated before.

Edgar (J. H.) and Pritchard (G. S.)—NOTE-BOOK ON

PRACTICAL SOLID OR DESCRIPTIVE GEOMETRY.
Containing Problems with help for Solutions. By J. H. EDGAR,
M.A., Lecturer on Mechanical Drawing at the Royal School of
Mines, and G. S. PRITCHARD, late Master for Descriptive
Geometry, Royal Military Academy, Woolwich. Second Edition,

revised and enlarged. Globe 8vo. 35. In teaching a large class, if the method of lecturing and demonstrating from the black board only is pursued, the more intelligent students have generally to be kept back, from the necessity of frequent repetition, for the sake of the less promising; if the plan of setting problems to each pupil is adopted, the teacher finds a difficulty in giving to each sufficient attention.

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