DESIGNED FOR SCHOOLS, ACADEMIES AND COLLEGES. BY CHARLES DAVIES. PUBLISHED BY A. S. BARNES & CO. HARTFORD. It has been the intention, in this course, to unite the analytical methods of the French, with the practical methods of the English School. These works embrace the entire course of Mathematics pursued st the United States Military Academy. They have also been adopted by many of the Colleges as regular Text Books, and are likewise extensively used in Select Schools and Academies. Numerous testimonials in favor of these works have been received from professional men, in all parts of the United States. They are respectfully recommended to the attention of Instructers and all others interested in education. DAVIES' MENTAL AND PRACTICAL ARITHMETIC. It is the object of this work to explain in a brief and clear manner, the properties of numbers, and the best rules for their various applications. The subjects are arranged throughout in a natural and scientifie order, each depending on those which have gone before it. All the terms, or technical words, are defined. In each subject the most elementary idea is first presented, generally under the form of a question, then follow illustrations or examples, and lastly the general rule. KEY to Davies' Mental and Practical Arithmetic, for the use of Teachers only. This work has each sum in the Arithmetic carefully and fully wrought out. Ita so contains additional examples in each rule, which are not found in the Arithmetic-so that the Teacher will be enabled to exercise his pupils, if he wishes, by questions which are not in their books. Davies' First Lessons in Algebra-Being an Introduction to the Science. It has been the intention, in this work, to form a connecting link between Arithmetic and Algebra, vo unite and blend, as far as possible, the reasoning in numbers, with the more abstruse method of Analysis. It is designed to follow the Mental and Practical Arithmetic, and to serve as an introduction to Bourdon's Algebra. This work is an abridgemeut of the work of M. Bourdon, with the ad dition of practical Examples. The treatise on Algebra, by Bourdon, is a work of singular excellence and merit. In France, it is one of the leading text books, and shortly after its publication had passed through several editions. It has been translated, in part by Professor De Morgan, of the London University, and it is now used in the University of Cambridge. Davies' Legendre's Geometry and Trigonometry. Being an abridgment of the work of M. Legendre, with the addition of a Treatise on Mensuration of Planes and Solids, and a Table of Logarithms and Logarithmic Sines. This work has passed through several editions since its publication in 1834, and is becoming a general text book in the institutions of the country. Davies' Surveying; with a description, and Plates of the Theodolite, Compass, Plane-Table and Level; also, Maps of the Topographical Signs adopted by the Engineer Department, and an explanation of the method of Surveying the public lands. It has been the intention in this work to begin with the very elements of the subject, and to combine those elements in the simplest manner, so as to render the higher branches of plane surveying comparatively easy. All the instruments needed for plotting have been carefully described; and the uses of those reo red for the measurement of angles are fully explained. Davies' Analytical Geometry -Embracing the equations of the point and straight line, a system of Conic Sections ;-the Equations of the line and plane in Space-also, the discussion of the general Equation of the Second degree, and of surfaces of the Second order. For about sixteen years the subject of Analytical Geometry has made a part of the course of Mathematics pursued at the Military Academy, and the methods which have adopted in the present work, are those which have been taught with the greatest success. Davies' Descriptive Geometry-With its application to Spherical Projections. The intimate connection which this subject has with civil engineering and architecture, renders its acquisition desirable to those who devote themselves to these pursuits. Dav es' Differet and Integral Calculus-Embracing the Rectification and Quadrature of Curves, the Mensuration of Surfaces, and the Cubature of Solids. This branch is justly considered the most difficult of the pure Mathematics; it has been the intention however to render the subject as plain as the nature of it would admit, but still, it cannot be mastered without patience and severe study, Davies' Shades and Shadows and Linear Perspective. The subjects treated of in this work are certainly usefu- to the Architect and Draftsman a knowledge of them is indispensable. The above works are for sale by booksellers generally throughout the United States. List of Sam' &. A. Green, M.D. AMERICAN ANNALS OF EDUCATIO N. AUGUST, 1839. For the Annals of Education. ART. 1.-UNIVERSITIES OF GREAT BRITAIN. Ar the last meeting of the British Association for the advancement of science, held at Newcastle, August, 1838, a paper was read by H. L. Jones, M. A., of Magdalene College, Cambridge, containing statistical illustrations of the principal British universities. From this valuable document we have compiled some of the more important items. The sources from which Mr Jones derived his information, were the Oxford, Cambridge and Dublin University Calendars for 1838, and the Parliamentary Reports on the Scotch universities. Much use was also made of private information in determining the value of professorships, fellowships, etc., points on which the Calendars and Reports are mostly silent. In determining the revenues of the universities of Oxford and Cambridge, as distinct from those of the Colleges, local information is almost all which can be obtained. The Calendars are by no means sufficient to show either the moral force and effect of the universities, or the real condition of their properties and revenues. The collegiate revenues consist principally of landed estates, of tithe impropriations, of the rent of rooms leased out to students, of fees paid by all members of the College, generally of trifling amount, and of profits upon various minor charges for articles of consumption, such as ale, etc., used by the students. The sources of income vary in different societies, some exist in one which do not in another. It may be said, in general, that the three universities of Oxford, Cambridge and Dublin, are the only ones in respect to which the public are in possession of sufficiently explicit information. Scarcely any thing was known of the Scottish universities till the appearance, in 1830, of the elaborate Report of the Parliamentary Commissioners. The university of Dumfries, though not in operation, is regularly founded and endowed by a private individual. The universities of London and Durham, and various collegiate institutions, which are springing up in various parts of the kingdom, are not yet sufficiently organized, to allow of much tabularized information being collected with regard to them. do. University Scholarships. do. College Scholarships. Total Revenue Colleges. $6 Universities. do. Colleges, Universities. £136,500 93,300 9,300 16 £160 342 16 251 1,038 17 100 100 70 100 £5,400 5,500 4,000 18,600 11,630 5,522 3,556 £3,000 2,000 £15,650 17,750 20,000 650 120 60 455 600 545 £18,350 12,650 2,000 151 £116,560 90,330 25,400 £1,188 1,300 1,000 £6.030 13,390 2,100 1,345 1,287 3,194 884 £152,670 133 268 31,500 888 9,046 3.479 4,097 £22,000 16,000 22,300 3,511 3,479 297 £174,670 148,268 31,500 23,188 12,917 9,496.4,394 The university of Dumfries has 10 professorships, and a revenue of £3,220. The London university has 52 professorships. Durham has 2 professorships, 7 lectureships, 220 members on the books, 105 members of convocation, and a total income of £2,230. |