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4. Arithmetic in Theory and Practice.

FOR ADVANCED PUPILS.

By J. BROOK SMITH, M.A.

St. John's College, Cambridge.

Part I. Crown 8vo. cloth. 38. 6d.

This work forms the first part of a Treatise on Arithmetic, in which the Author has endeavoured, from very simple principles, to explain in a full and satisfactory manner all the important processes in that subject.

The proofs have in all cases been given in a form entirely arithmetical : for the author does not think that recourse ought to be had to Algebra until the arithmetical proof has become hopelessly long and perplexing.

At the end of every chapter several examples have been worked out at length, in which the best practical methods of operation have been carefully pointed out.

5. A Short Manual of Arithmetic.

By C.W. UNDERWOOD, M.A.
Vice-Principal of the Collegiate Institution, Liverpool.
Fcp. 8vo. 96 pp. (1860). limp cloth. 28. 6d.

The object aimed at by the Compiler of this Manual is to bring before junior students so much of the Theory of Arithmetic as may be fairly expected of them, and to present it in such a form that the study of the Science may become to some extent a mental training. It is rather a Grammar of Arithmetic than a treatise on that subject, and should for the most part be committed to memory.

It will be found well adapted for viva voce examination, and enable candidates to prepare themselves for the Local University Examinations. The Definitions are briefly and carefully worded. Each rule is stated so as to include the proof of it where this was possible. Cambridge and London.

4

CAMBRIDGE CLASS BOOKS

6. Plane Trigonometry.

FOR SCHOOLS AND COLLEGES.

By I. TODHUNTER, M.A.

SECOND EDITION. Crown 8vo. 279 pp. (1860), strongly bound

in cloth. 58.

The design of this work has been to render the subject intelligible to beginners, and at the same time to afford the student the opportunity of obtaining all the information which he will require on this branch of Mathematics. 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. As the Text and Examples of the present work have been tested by considerable experience in teaching, the hope is entertained that they will be suitable for imparting a sound and comprehensive knowledge of Plane Trigonometry, together with readiness in the application of this knowledge to the solution of problems. In the Second Edition the hints for the solution of the Examples have been considerably increased.

7. Spherical Trigonometry.

FOR THE USE OF COLLEGES AND SCHOOLS.

By I. TODHUNTER, M.A.

112 pp. Crown 8vo. (1859), strongly bound in cloth. 48. 6d.

This work 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.

Macmillan and Co.

8. Plane Trigonometry.

AN ELEMENTARY TREATISE.

WITH A NUMEROUS COLLECTION OF EXAMPLES.

By R. D. BEASLEY, M.A.

Head Master of Grantham School.

106 pp. (1858), strongly bound in cloth. 38. 6d.

This Treatise is specially intended for use in Schools. The choice of matter has been chiefly guided by the requirements of the three days' Examination at Cambridge, with the exception of proportional parts in logarithms, which have been omitted. About four hundred examples have been added, mainly collected from the Examination Papers of the last ten years, and great pains have been taken to exclude from the body of the work any which might dishearten a beginner by their difficulty.

9. Plane and Spherical Trigonometry.

WITH THE CONSTRUCTION AND USE OF TABLES OF

LOGARITHMS.

By J. C. SNOWBALL, M.A.
Late Fellow of St. John's College, Cambridge.

Ninth Edition.

240 pp. (1857). Crown 8vo. 78. 6d.

In preparing a new edition, the proofs of some of the more important propositions have been rendered more strict and general; and à 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. Cambridge and London.

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CAMBRIDGE CLASS BOOKS

10. Elementary Treatise on Mechanics.

WITH A COLLECTION OF EXAMPLES.

By S. PARKINSON, B.D.
Fellow and Praelector of St. John's College, Cambridge.

SECOND EDITION. 345 pp. (1861). Crown. 8vo. cloth. 98.6d.

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. With this object there have been included in it those portions of theoretical Mechanics which can be conveniently investigated without the Differential Calculus, and with one or two short exceptions the student is not presumed to require a knowledge of any branches of Mathematics beyond the elements of Algebra, Geometry and Trigonometry. A collection of Problems and Examples has been added, chiefly taken from the Senate-House and College Examination Paperswhich will, it is trusted, be found useful as an exercise for the student. In the Second 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.

11. Elementary Hydrostatics.

WITH NUMEROUS EXAMPLES AND SOLUTIONS.

By J. B. PHEAR, M.A.
Fellow and late Mathematical Lecturer of Clare College.

Second Edition. 156 pp. (1857). Crown 8vo. cloth. 58. 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,

This Edition contains 147 Examples, and solutions to all these examples are given at the end of the book.

Macmillan and Co.

12. Analytical Statics.

WITH NUMEROUS EXAMPLES.

By I. TODHUNTER, M.A.

Second Edition. 330 pp. (1858). Crown 8vo. cloth. 108. 6d.

In this work will be found all the

propositions which usually appear in treatises on Theoretical Statics. To the different chapters Examples are appended, which have been selected principally from the University and College Examination Papers; these will furnish ample exercise in the application of the principles of the subject.

13. Dynamics. A Treatise.

By W. P. WILSON, M.A.
Professor of Mathematics in the University of Melbourne.

176 pp. (1850). 8vo. 98. 6d.

This Treatise contains the fundamental principles of the science, with their application to the motion of particles and to the simpler cases of the motion of bodies of finite magnitude.

14. Dynamics of A Particle.

WITH NUMEROUS EXAMPLES.

By P. G. TAIT, M.A., and W. J. STEELE, B.A.

Late Fellows of St. Peter's College, Cambridge.

304 pp. (1856). Crown 8vo. cloth.

IOS. 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. Cambridge and London.

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