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Cambridge Elementary Mathematical Series

FOR COLLEGES AND SCHOOLS.

I. ARITHMETIC AND ALGEBRA.

ARITHMETIC.

For the use of Schools. By BARNARD SMITH, M.A. New Edition (1861). 348 pp. Answers to all the Questions. Crown 8vo. 48. 6d.

KEY to the above. New Edition. Second Edition, containing Solutions to every Question in the latest Edition (1860). Crown 8vo. 8s. 6d.

ARITHMETIC and ALGEBRA in their PRINCIPLES and APPLICATIONS. With numerous Examples, systematically arranged. By BARNARD SMITH, M.A. Eighth Edition (1861). 696 pp. Crown 8vo. 10s. 6d.

ALGEBRA.

For the use of COLLEGES and SCHOOLS. By I. TODHUNTER, M.A. Second Edition. Crown 8vo. 516 pp. (1860). 78. 6d.

EXERCISES IN ARITHMETIC.

By BARNARD SMITH,

M.A. 104 pp. (1860). Cloth, limp. 28. Or with Answers. 2s. 6d. Also sold in Two Separate Parts. Is. each. Cloth, limp. Answers. 6d.

ARITHMETIC IN THEORY AND PRACTICE. For Advanced Pupils. By J. BROOK SMITH, M.A. Part First. 164 pp. (1860). Crown 8vo. 38. 6d.

A SHORT MANUAL OF ARITHMETIC.

By C. W.

UNDERWOOD, M.A. 96 pp. (1860). Fcp. 8vo. 28. 6d.

ELEMENTARY MATHEMATICAL SERIES.

II. TRIGONOMETRY.

PLANE TRIGONOMETRY. For Schools and Colleges.
I. TODHUNTER, M.A. Second Edition. 279 pp. (1860).

8vo. 58.

By

Crown

SPHERICAL TRIGONOMETRY. For COLLEGES and SCHOOLS. By I. TODHUNTER, M.A. 112 pp. (1859). Crown 8vo. 48. 6d.

PLANE TRIGONOMETRY. With a numerous Collection of Examples. By R. D. BEASLEY, M.A. 106 pp. (1858). Crown 8vo. 38. 6d.

With the

PLANE and SPHERICAL TRIGONOMETRY.
Construction and use of Tables of Logarithms. By J. C. SNOWBALL,
M.A. Ninth Edition, 240 pp. (1857). Crown 8vo. 7s. 6d.

III. MECHANICS AND HYDROSTATICS.

With a

ELEMENTARY TREATISE on MECHANICS. Collection of Examples. By S. PARKINSON, B.D. Second Edition. (1861). Crown 8vo. 98. 6d.

ELEMENTARY HYDROSTATICS. With numerous Ex

amples and Solutions. By J. B. PHEAR, M. A. Second Edition. 156 pp. (1857). Crown 8vo. 5s. 6d.

ELEMENTARY STATICS. For use in the Government

Schools and Colleges in India. By G. RAWLINSON, M.A. Edited by E. STURGES, M.A. 150 pp. (1860). Crown 8vo. 48. 6d.

MACMILLAN AND Co., Cambridge and London.

MACMILLAN AND CO'S

CLASS BOOKS

FOR COLLEGES AND SCHOOLS.

ARITHMETIC AND ALGEBRA IN THEIR

PRINCIPLES AND APPLICATIONS.

WITH NUMEROUS EXAMPLES, SYSTEMATICALLY
ARRANGED.

By BARNARD SMITH, M.A.

Fellow of St. Peter's College, Cambridge.

Seventh Edition. 696 pp. (1860). Crown 8vo. strongly bound 108. 6d.

in cloth.

The first edition of this work was published in 1854. It was primarily intended for the use of students in the Universities, and for Schools which prepare for the Universities. It has however been found to meet the requirements of a much larger class, and is now in use in a large number of Schools and Colleges both at home and in the Colonies. It has been found of great service for students preparing for MIDDLE-CLASS and CIVIL AND MILITARY SERVICE EXAMINATIONS, from the care that has been taken to elucidate the principles of all the Rules. Testimony of its excellence has been borne by some of the highest practical and theoretical authorities; of which the following from the late Dean Peacock may be taken as a specimen:

"Mr. Smith's Work is a most useful publication. The Rules are stated with great clearness. The Examples are well selected and worked out with just sufficient detail without being encumbered by too minute explanations; and there prevails throughout it that just proportion of theory and practice, which is the crowning excellence of an elementary work."

2000 4. 30. 61

2

ARITHMETIC.

FOR THE USE OF SCHOOLS.

By BARNARD SMITH, M.A.

New Edition (1861), 348 pp. Crown 8vo. strongly bound in Answers to all the Questions.

cloth.

48. 6d.

KEY to the above, containing Solutions to all the Questions. Crown 8vo. 392 pp. (1860). 88. 6d. EXERCISES IN ARITHMETIC. PART I. 48 pp. (1860). Crown 8vo. 18.-Part II. 56 pp. (1860). Crown 8vo. 18. ANSWERS, 6d. The Two Parts bound together. 28. Or with ANSWERS. 2s. 6d.

To meet a widely expressed wish, the ARITHMETIC was published separately from the larger work in 1854, with so much alteration as was necessary to make it quite independent of the ALGEBRA. It has now a large and increasing sale in all classes of Schools at home and in the Colonies. A very copious collection of Examples, under each rule, has been embodied in the work in a systematic order, and a Collection of Miscellaneous Papers in all branches of Arithmetic have been appended to the book.

The EXERCISES have been published in order to give the pupil examples of every rule in Arithmetic, and they have been carefully compiled from the latest University and School Examination Papers.

ALGEBRA.

FOR THE USE OF COLLEGES AND SCHOOLS.

By I. TODHUNTER, M.A.

Fellow and Head Lecturer of St. John's College, Cambridge.

Second Edition.

516 pp. (1860), strongly bound in cloth. 78. 6d.

This work contains all the propositions which are usually included in elementary treatises on Algebra, and a large number of Examples for Exercise. The author has sought to render the work easily intelligible to students without impairing the accuracy of the demonstrations, or contracting the limits of the subject. The examples have been selected with a view to illustrate every part of the subject, and as the number of them is about sixteen hundred and fifty, it is hoped they will supply ample exercise for the student. Each set of examples has been carefully arranged, commencing with very simple exercises, and proceeding gradually to those which are less obvious.

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 different 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, carefully pointing out the best practical method of operation.

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 Examination. The Definitions are briefly and carefully worded. Each rule is stated so as to include the proof of it where this was possible.

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