CAMBRIDGE CLASS FOR SCHOOLS AND COLLEGES. WORKS by the Rev. BARNARD SMITH, M.A. ༤.. Arithmetic & Algebra ically arranged. 2. Arithmetic For the Use of Schools. New Edition (1862) 348 pp. Crown 8vo. strongly bound in cloth, 4s. 6d. Answers to all the Questions. Ninth Edit. 696 pp. (1863). Cr. 8vo. 3. Key to the above, containstrongly bound in cloth. 10s. 6d. ing Solutions to all the Questions, in the latest Edition. Crown 8vo. cloth. 392 pp. Third Edit. 8s. 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 very large sale in all classes of Schools at home and in the Colonies. A 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 is appended to the book. The first edition of this work was published "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." Exercises in Arithmetic. 104 pp. Cr. 8vo. (1860) 28. Or with Answers, 2s. 6d. Also sold separately in 2 Parts 18. each. Answers, 6d. These EXERCISES have been published in order to give the pupil examples in every rule of Arithmetic. The greater number have been carefully compiled from the latest University and School Examination Papers. CAMBRIDGE CLASS BOOKS WORKS by ISAAC TODHUNTER, M.A. F.R.S. Fellow and Principal Mathematical Lecturer of St. John's College, Cambridge. 1. Algebra. For the Use of Colleges and Schools. Third Edition. 542 pp. (1862). Strongly bound in cloth. 78. 6d. 3. Spherical Trigonometry. For the Use of Colleges and Schools. 132 pp. Crown 8vo. Second Edit. enlarged. (1863). 48. 6d. This work is constructed on the same This work contains all the propositions plan as the Treatise on Plane Trigonowhich are usually included in elementary metry, to which it is intended as a sequel. treatises on Algebra, and a large number Considerable labour has been expended of Examples for Exercise. The author on the text in order to render it comprehas sought to render the work easily in-hensive and accurate, and the Examples, telligible to students without impairing the which have been chiefly selected from Uniaccuracy of the demonstrations, or con- versity and College Papers, have all been tracting the limits of the subject. The carefully verified. 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. 2. Plane Trigonometry For Schools and Colleges. 2nd Edit. 279 pp. (1860). Crn. 8vo. 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 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. The Elements of Euclid AND As the Elements of Euclid are usually placed in the hands of young students, it is important to exhibit the work in such a form as will assist them in overcoming the difficulties which they experience on their first introduction to processes of conbe so useful as that of breaking up the tinuous argument. No method appears to demonstrations into their constituent parts, and this plan has been adopted in the present edition. Each distinct assertion in the argument begins a new line; and at the end of the lines are placed the necessary references to the preceding principles on which the assertions depend. The longer propositions are distributed into subordinate parts, which are distinguished by breaks at the beginning of the lines. The Notes are intended to indicate and explain the principal difficulties, and to supply the most important inferences which can be drawn from the propositions. The work finishes with a collection of Six hundred and twenty-five Exercises, which have been selected principally from Cambridge Examination papers and have been tested by long experience. As far as possible they are arranged in order of difficulty. The Figures will be found to be large and distinct, and have been repeated when necessary, so that they always occur in immediate connexion with the corresponding text. WORKS by ISAAC TODHUNTER, M.A., F.R.S.-continued. 5. 8. The The Integral Calculus Differential Calculus. And its Applications. With numerous Examples. Second Edition. 342 pp. (1862). Crown 8vo. cloth. 10s. 6d. In writing the present Treatise on the Integral Calculus, the object has been to produce a work at once elementary and complete-adapted for the use of beginners, and sufficient for the wants of advanced students. In the selection of the propositions, and in the mode of establishing them, the author has endeavoured to exhibit fully and clearly the principles of the subject, and to illustrate all their most important results. In order that the student may find in the volume all that he requires, a large collection of Examples for exercise has been appended to the different chapters. With numerous Examples. Third Edition, 398 pp. (1860). Crown 8vo. cloth, 10s. 6d. This work is intended to exhibit a comprehensive view of the Differential Calculus on the method of Limits. In the more elementary portions, explanations have been given in considerable detail, with the hope that a reader who is without the assistance of a tutor may be enabled to acquire a competent acquaintance with the subject. More than one investigation of a theorem has been frequently given, because it is believed that the student derives advantage from viewing the same proposition under different aspects, and that in order to succeed in the examinations which he may have to undergo, he should be prepared for a considerable variety in the order of arranging the several branches of the subject, and for a corresponding variety in the mode of demonstra 6. Analytical Statics. tion. With numerous Examples. Second Edition. 330 pp. (1858). Crown 8vo. cloth. 10s. 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. 7. EXAMPLES OF Analytical Geometry of Three Dimensions. 76 pp. (1858). Crn. 8vo. cloth. 48. A collection of examples in illustration of Analytical Geometry of Three Dimensions has long been required both by students and teachers, and the present work is published with the view of supplying the want. 9. Plane Co-Ordinate Geometry AS APPLIED TO THE STRAIGHT LINE AND THE CONIC SECTIONS. Crn. 8vo. cl. 326 pp. (1862). 78. 6d. This Treatise exhibits the subject in a simple manner for the benefit of beginners, and at the same time includes in one volume all that students usually require. The Examples at the end of each chapter will, it is hoped, furnish sufficient exercise, as they have been carefully selected with the view of illustrating the most important points, and have been tested by repeated experience with pupils. In consequence of the demand for the work proving much greater than had been originally anticipated, a large number of copies of the Third Edition has been printed, and a considerable reduction effected in the price. 6 CAMBRIDGE CLASS BOOKS 11. History of the Progress Calculus of Variations 12. Algebra for Beginners. 18mo. cloth, 264 pp. (1863). 2s. 6d. Great pains have been taken to render this work intelligible to young students by the use of simple language and by copious explanations. In accordance with the recommendation of teachers, the examples for exercise are very numerous. By J. H. PRATT, M.A. Archdeacon of Calcutta, late Fellow of Gonville and Caius College, Cambridge. A Treatise on Attractions, La Place's Functions, and the Figure of the Earth. Second Edition. Crown 8vo. 126 pp. (1861). Cloth. 6s. 6d. In the present Treatise the author has endeavoured to supply the want of a work on a subject of great importance and high interest-La Place's Coefficients and Functions and the calculation of the Figure of the Earth by means of his remarkable analysis. No student of the higher branches of Physical Astronomy should be ignorant of La Place's analysis and its result-"a calculus," says Airy, "the most singular in its nature and the most powerful in its application that has ever appeared." Theory of Errors of And the Combination of Observations. 103 pp. (1861). Crown 8vo. 68. 6d. AN ELEMENTARY TREATISE ON The Planetary Theory. WITH A COLLECTION OF PROBLEMS. By C. H. H. CHEYNE, B.A. Scholar of St. John's College, Cambridge. 148 pp. 1862. Crn. 8vo. cloth. 6s, 6d. By GEORGE BOOLE, D.C.L., F.R.S. Professor of Mathematics in the Queen's University, Ireland. Differential Equations 468 pp. (1859). Crn. 8vo. cloth. 14s. The Author has endeavoured in this treatise to convey as complete an account of the present state of knowledge on the subject of Differential Equations as was consistent with the idea of a work intended, primarily, for elementary instruction. The object has been first of all to meet the wants of those who had no previous acquaintance with the subject, and also not quite to disappoint others who might seek for more advanced information. The earlier sections of each chapter contain that kind of matter which has usually been thought suitable for the beginner, while the latter ones are devoted either to an account of recent discovery, or to the discussion of such deeper questions of principle as are likely to present themselves to the reflective student in con By P. G. TAIT, M.A., and W. J. STEELE, B.A. Late Fellows of St. Peter's Coll. Camb. Dynamics of a Particle. With numerous Examples. 304 pp. (1856). Cr. 8vo. cl. 10s. 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. By the Rev. G. F. CHILDE, M.A. Mathematical Professor in the South African College. nection with the methods and processes Singular Properties of of his previous course. 2. The Calculus of Finite Differences. 248 pp. (1860). Crown 8vo. cloth. 10s. 6d. In this work particular attention has been paid to the connexion of the methods with those of the Differential Calculus-a connexion which in some instances involves far more than a merely formal analogy. The work is in some measure designed as a sequel to the Author's Treatise on Differential Equations, and it has been composed on the same plan. Elementary Statics. By the Rev. GEORGE RAWLINSON, Professor of Applied Sciences, Elphinstone Coll., Bombay. Edited by the Rev. E. STURGES. M.A. Rector of Kencott, Oxfordshire. (150 pp.) 1860. Crn. 8vo. cl. 4s. 6d. This work is published under the authority of H. M. Secretary of State for India for use in the Government Schools and Colleges in India. the Ellipsoid And Associated Surfaces of the Nth Degree. 152 pp. (1861). 8vo. boards. 10s. 6d. As the title of this volume indicates, its object is to develope peculiarities in the Ellipsoid; and further, to establish analogous properties in unlimited congeneric series of which this remarkable surface is a constituent. By J. B. PHEAR, M.A. Fellow and late Mathematical Lecturer of Clare College. Elementary Hydrostatics Third Edition. 156 pp. (1863). "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 en hance 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. |