Cambridge Senate-House Problems-continued.

1860.-PROBLEMS AND RIDERS. BY WATSON and ROUTH. Crown 8vo. cloth. 7s. 6d.

1864.-PROBLEMS AND RIDERS. By WALTON and WILKINSON. 8vo. cloth. IOS. 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 Originally compiled by

PHILOSOPHY, for the Degree of B. A.
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, 77. 4s.

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, Fellett, and other distinguished mathematicians.

Candler.-HELP TO ARITHMETIC. Designed for the use of Schools. By II. CANDLER, M.A. Mathematical Master of Uppingham School. Extra fcap. 8vo. 2s. 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 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.

-

NTH

Childe. THE SINGULAR PROPERTIES OF THE ELLIP. SOID AND ASSOCIATED SURFACES OF THE 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 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 pupiis 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.

arranged, with Exercises and Examination Papers.

Progressively

By the Rev.

T. DALTON, M.A., Assistant Master of Eton College. 18mo.
Answers to the Examples are appended.

cloth. 2s. 6d.

Day.- PROPERTIES OF CONIC

Problems.

GEOMETRICALLY. PART I., THE ELLIPSE, with
By the Rev. H. G. DAY, M.A., Head Master of
Sedburgh Grammar School. Crown 8vo. 3s. 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 transi tion to the analytical methods, without departing from the strict geometry of Euclid.

Dodgson.-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. IOS. 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 SECTIONS. By W. H. DREW, M. A., St. John's College, Cambridge. Fourth Edition. Crown 8vo. cloth. 4s. 6d.

In this work the subject of Ccnic Sections has been placed before the student

Drew-continued.

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 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

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SOLUTIONS TO THE PROBLEMS IN DREW'S CONIC SECTIONS. Crown Svo. cloth. 4s. 6d.

Earnshaw (S.) PARTIAL DIFFERENTIAL EQUATIONS. An Essay towards an entirely New Method of Integrating them. By S. EARNSHAW, M.A., St. John's College, Cambridge. Crown 8vo. 5s.

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 cach pupil is adopted, the teacher finds a difficulty in giving to each sufficient attention. A judicious combination of both methods is doubtless the best; and it is hoped that this result may be arrived at in some degree by the use of this book, which is simply a collection of examples, with helps for solution, arranged in progressive sections. The new edition has been enlarged by the addition of chapters on the straight line and plane, with explanatory diagrams and exercises, on tangent planes, and on the cases of the spherical triangle.

Ferrers. AN ELEMENTARY TREATISE ON TRILINEAR

CO-ORDINATES, the Method of Reciprocal Polars, and the
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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.

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. IOS. 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.