By Rev. S. PARKINSON, B.D. Fellow and Prælector of St. John's Coll. Cambridge. 1. Elementary Treatise on Mechanics. With a Collection of Examples. By R. D. BEASLEY, M.A. Head Master of Grantham School. AN ELEMENTARY TREATISE ON Plane Trigonometry. Second Edition. 345 pp. (1861). 106 pp. (1858), strongly bound in 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 Papers-which will 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 cloth. 3s. 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. By J. BROOK SMITH, M.A. Examples and Problems has been largely Arithmetic in Theory increased. 2. A Treatise on Optics 304 pp. (1859). Crown 8vo. 10s. 6d. A collection of Examples and Problems has been appended to this work which are sufficiently numerous and varied in character to afford useful exercise for the student: for the greater part of them recourse has been had to the Examination Papers set in the University and the several Colleges during the last twenty years. Subjoined to the copious Table of Contents the author has ventured to indicate an elementary course of reading not unsuitable for the requirements of the First Three Days in the Cambridge Senate House Examinations. and Practice. For Advanced Pupils. PART I. Crown 8vo. cloth. 3s. 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. By G. H. PUCKLE, M.A. Conic Sections and Algebraic Geometry. With numerous Easy Examples Progressively arranged. Second Edition. 264 pp. (1856). Crown 8vo. 78. 6d. This book has been written with special reference to those difficulties and misapprehensions which commonly beset the student when he commences. With this object in view, the earlier part of the subject has been dwelt on at length, and geometrical and numerical illustrations of the analysis have been introduced. The Examples appended to each section are mostly of an elementary description. The work will, it is hoped, be found to contain all that is required by the upper classes of schools and by the generality of students at the Universities. Dynamics of a System of Rigid Bodies. With numerous Examples. 336 pp. (1860). Crown 8vo. cloth. 10s. 6d. CONTENTS: Chap. I. Of Moments of Inertia.-II. D'Alembert's Principle. III. Motion about a Fixed Axis.-IV. Motion in Two Dimensions.-V. Motion of a Rigid Body in Three Dimensions.VI. Motion of a Flexible String.-VII. Motion of a System of Rigid Bodies.VIII. Of Impulsive Forces.-IX. Miscellaneous Examples. The Cambridge Year Book AND UNIVERSITY ALMANACK Crown 8vo. 228 pp. price 2s. 6d. The specific features of this annual publication will be obvious at a glance, and its value to teachers engaged in preparing students for, and to parents who are sending their sons to, the University, and to the public generally, will be clear. 1. The whole mode of proceeding in entering a student at the University and at any particular College is stated. 2. The course of the studies as regulated by the University examinations, the manner of these examinations, and the specific subjects and times for the year 1863, are given. 3. A complete account of all Scholarships and Exhibitions at the several Colleges, their value, and the means by which they are gained. 4. A brief summary of all Graces of the Senate, Degrees conferred during the year 1861, and University news generally are given. 5. The Regulations for the LOCAL EXAMINATION of those who are not members of the University, to be held this year, with the names of the books on which the Examination will be based, and the date on which the Examination will be held. The object of the Author in writing The numerous Examples which will be on this subject has mainly been to place found at the end of each chapter have it on a basis altogether independent of the been chiefly selected from the Examina-ordinary Cartesian System, instead of retion Papers set in the University and Colleges of Cambridge during the last few years. garding it as only a special form of abridged Notation. A short chapter on Determinants has been introduced. By J. C. SNOWBALL, M.A. Plane and Spherical Trigonometry. Senate-House Mathematical Problems. With Solutions. 1848-51. By FERRERS and JACKSON. 8vo. 158. 6d. With the Construction and Use of 1848-51. (RIDERS). By JAMESON. Tables of Logarithms. Ninth Edition. 240 pp. (1857). In preparing a new edition, the proofs of some of the more important propositions have been rendered more strict and general; and a 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. By W. H. DREW, M.A. Second Master of Blackheath School. Geometrical Treatise on Conic Sections. With a copious Collection of Examples. Second Edition. Crown 8vo. cloth. 4s. 6d. 78. 6d. 8vo. 1854. By WALTON and MACKENZIE. 10s. 6d. 1857. By CAMPION and WALTON. 8vo. 88. 6d. 1860. By ROUTH and WATSON. Crown 8vo. 7s. 6d. The above books contain Problems and Examples which have been set in the Cambridge Senate-house Examinations at various periods during the last twelve years, together with Solutions of the same. The Solutions are in all cases given by the Examiners themselves or under their sanction. By H. A. MORGAN, M.A. Fellow of Jesus College, Cambridge. A Collection of Mathematical Problems and Examples. With Answers. 190 pp. (1858). Crown 8vo. 68. 6d. This book contains a number of problems, chiefly elementary, in the Mathematical subjects usually read at Cambridge. They have been selected from the papers set during late years at Jesus College. Very few of them are to be met with in other collections, and by far the larger number are due to some of the most distinguished Mathematicians in the Uni 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 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 been either embodied into the text, or inserted among the ex-versity. amples, every book work question, problem, and rider, which has been proposed in the Cambridge examinations up to the Cambridge University present time. Solutions to the Pro-A blems in Drew's Conic Sections. Crown 8vo. cloth. 4s. 6d. Examination Papers. 2s. 6d. Examinations for the Degrees, the various Triposes, and the Theological Certificates in the University, with List of Candidates Examined and of those Approved, and an Index to the Subjects. 1860-61. The authors have endeavoured to present before students as comprehensive a view of the subject as possible. Intending as they have done to make the subject accessible, at least in the earlier portion, to all classes of students, they have endeavoured to explain fully all the processes which are most useful in dealing with ordinary theorems and problems, thus directing the student to the selection of methods which are best adapted to the exigencies of each problem. In the more difficult portions of the subject, they have considered themselves to be addressing a higher class of students; there they have tried to lay a good foundation on which to build, if any reader should wish to pursue the science beyond the limits to which the work extends. 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. 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. A collection of Problems has been added, taken chiefly from Cambridge Examination papers of the last twenty years. By JOHN E. B. MAYOR, M.A. Fellow and Classical Lecturer of St. John's College, Cambridge. 1. Juvenal. With English Notes. 464 pp. (1854). Crown 8vo. cloth. 10s. 6d. "A School edition of Juvenal, which, for really ripe scholarship, extensive acquaintance with Latin literature, and familiar knowledge of Continental criticism, ancient and modern, is unsurpassed, but among English editions generally.". we do not say among English School-books, EDINBURGH REVIEW. 2. Cicero's Second Philippic. With English Notes. 168 pp. (1861). Fcp. 8vo. cloth. 58. The Text is that of Halm's 2nd edition, (Leipzig, Weidmann, 1858), with some corrections from Madvig's 4th Edition (Copenhagen, 1858). Halm's Introduction has been closely translated, with some additions. His notes have been curtailed, omitted, or enlarged, at discretion; passages to which he gives a bare reference, are for the most part printed at length; for the Greek extracts an English version has been substituted. A large body of notes, chiefly grammatical and historical, has been added from various sources. A list of books useful to the student of Cicero, a copious Argument, and an Index to the introduction and notes, complete the book. By P. FROST, Jun., M.A. Late Fellow of St. John's Coll. Cambridge. Thucydides. Book VI. With English Notes, Map and Index. 8vo. cloth. 7s. 6d. It has been attempted in this work to facilitate the attainment of accuracy in translation. With this end in view the Text has been treated grammatically. By B. DRAKE, M.A. Late Fellow of King's Coll. Cambridge. 1. Demosthenes on the Crown. With English Notes. Second Edition. To which is prefixed ESCHINES AGAINST CTESIPHON. With English Notes. 287 pp. (1860). Fcap. 8vo. cl. 58. The first edition of the late Mr. Drake's edition of Demosthenes de Corona having met with considerable acceptance in various Schools, and a new edition being called for, the Oration of Æschines against Ctesiphon, in accordance with the wishes of many teachers, has been appended with useful notes by a competent scholar. 2. Eschyli Eumenides With English Verse Translation, Copious Introduction, and Notes. 8vo. 144. pp. (1853). 7s. 6d. "Mr. Drake's ability as a critical Scholar is known and admitted. In the edition of the Eumenides before us we meet with him also in the capacity of a Poet and 3. The Seven Kings of Historical Essayist. The translation is flowing and melodious, elegant and scholarlike. The Greek Text is well printed : the notes are clear and useful."-GUARDIAN. By C. MERIVALE, B.D. Author of "History of Rome," &c. Sallust. With English Notes. Second Edition. 172 pp. (1858). Fcap. 8vo. 48. 6d. "This School edition of Sallust is precisely what the School edition of a Latin author ought to be. No useless words 4. Vocabulary and Ex are spent in it, and no words that could be of use are spared. The text has been carefully collated with the best editions. With the work is given a full current of extremely well-selected annotations."THE EXAMINER. The "CATILINA" and "JUGURTHA" may be had separately, price 2s. 6d. each, bound in cloth. ercises on "The Seven Kings of Rome." Fcp. 8vo. cloth. 2s. 6d. *The Vocabulary and Exercises may also be had bound up with "The Seven Kings of Rome." 5s. cloth. |