English. COURSE OF MATHEMATICAL WORKS, BY GEORGE R. PERKINS, A. Mug Professor of Mathematics and Principal of the State Normal School I. PRIMARY ARITHMETIC. Price 21 cts. A want, with young pupils, of rapidity and accuracy in performing operations upon wr er users; an imperfect knowledge of Numeration; inadequate conceptions of the nature retions of Fractions, and a lack of familiarity with the principles of Decimals, have indu the author to prepare the PRIMARY ARITHMETIC. The firs: part is devoted to MENTAL EXERCISES and the second to Exercises on the Sv and Blackboard. While the minds of young pupils are disciplined by mental exercises (if not wearisom + prolonged), they fail, in general, in trusting to "head-work" for their calculations; and in re sorting to written operations to solve their difficulties, are often slow and inaccurate from a w of early familiarity with such processes: these considerations have induced the Author to dev part of his book to primary written exercises. It has been received with more popularity than any Arithmetic heretofore issued. II. ELEMENTARY ARITHMETIC. Price 42 cts. It each. Has recently been carefully revised and enlarged. It will be found concise, yet lucid. the radical relations of numbers, and presents fundamental principles in analysis and examp e It leaves nothing obscure, yet it does not embarrass by multiplied processes, nor er.feeble minute details. In this work all of the examples or problems are strictly practical, made up as they are i great measure of important statistics and valuable facis in history and philosophy, which thus unconsciously learned in acquiring a knowledge of the Arithmetic. Fractions are placed immediately after Division; Federal Money is treated as and with " cimal Fractions; Proportion is placed before Fellowship, Alligation, and such rules as requ its application in their solution. Every rule is marked with verity and simplicity. The. swers to all of the examples are given. The work will be found to be an improvement on most, if not all, previous element Arithmetics in the treatment of Fractions, Denominate Nunibers, Rule of Three, Interest, E.. then of Payments, Extraction of Roots, and many other subjects. Wherever this work is presented, the publishers have heard but one opinion in regard to 1 merits, and that most favorable. III. HIGHER ARITHMETIC. Price 84 cts. The present edition has been revised, many subjects rewritten, and much new matter ad le and contains an APPENDIX of about 60 pages, in which the philosophy of the more diffic. operations and interesting properties of numbers are fully discussed. The work is what its na purpoits, a Higher Arithmetic, and will be found to contain many entirely new principles whi have never before appeared in any Arithmetic. It has received the strongest recoin nenda:ir " from hundreds of the best teachers the country affords. IV. ELEMENTS OF ALGEBRA. Price 84 cts. This work is an introduction to the Author's "Treatise on Algebra," and is designed espe Cially for the use of Common Schools, and universally pronounced "admirably adapted to it purpose." V. TREATISE ON ALGEBRA. Price $1 50. This work contains the higher parts of Algebra usually taught in Colleges; a new metho of cubic and higher equations as well as the THEOREM OF STURM, by which we may at once determine the number of real roots of any Algebraic Equation, with much more ease than by previously discovered method. In the present revised editim, one entire chapter on the subject of CONTINUED FRACTIC RA has been added. VI. ELEMENTS OF GEOMETRY, WITH PRACTICAL APPLICATIONS. $1 The author has added throughout the entire Work, PRACTICAL APPLICATIONS, which, in the estimation of Teachers, is an important consideration. An eminent Professor of Mathematics, in speaking of this work, says: "We have adopted , because it follows more closely the best model of pure geometrical reasoning, which ver has Deen, and perhaps ever will be exhibited; and because the Author has condensed son of the unportant principles of the great master of Geometricians, and more especia..y has shown that his theorems are not mere theory, oy many practical applications: a quality in a text-book o' his science nr less uncommon than it is important." M306003 English. PROF. MANDEVILLE'S READING BOOKS. I. PRIMARY, OR FIRST READER. Price 10 cents. II. SECOND READER. Price 16 cents. These two Readers are formed substantially on the same plan; and the second is a continua tion of the first. The design of both is to combine a knowledge of the meaning and pronuncia tion of words, with a knowledge of their grainmatical functions. The parts of speech are in troduced successively, beginning with the articles; these are followed by the demonstrative pro nouns; and these again by others, class after class, until all that are requisite to form a sentence have been separately considered; when the common reading lessons begin. The Second Reader reviews the ground passed over in the Primary, but adds largely to the amount of information. The child is here also taught to read writing as well as printed matter; and in the reading lessons, attention is constantly directed to the different ways in which senten ces are formed and connected, and of the peculiar manner in which each of them is delivered. All who have examined these books, have pronounced them a decided and important advance on every other of the same class in use. III. THIRD READER. Price 25 cents. IV. FOURTH READER. Price 38 cents. In the first two Readers, the main object is to make the pupil acquainted with the meaning and functions of words, and to impart facility in pronouncing them in sentential connection; the leading design of these, is to form a natural, flexible, and varied delivery. Accordingly, the Third Reader opens with a series of exercises on articulation and modulation, containing numer. cus examples for practice on the elementary sounds (including errors to be corrected) and on the diferent movements of the voice, produced by sentential structure, by emphasis, and by the pas sions. The habits formed by these exercises, which should be thoroughly, as they can be easily mastered, under intelligent instruction, find scope for improvement and confirmation in the reading lessons which follow, in the same book and that which succeeds. These lessons have been selected with special reference to the following peculiarities; 1st. Colloquial character; 2d, Variety of sentential structure; 3d, Variety of subject matter; 4th, Adaptation to the progressive development of the pupil's mind; and as far as possible, 5th, Tendency to excite moral and religious emotions. Great pains have been taken to make the books in these respects, which are, in fact, characteristic of the whole series, superior to anv others in use; with what success a brief comparison will readily show. V. THE FIFTH READER; OR, course of READING. Price 75 cents. These books are designed to cultivate the literary taste, as well as the understanding and vea: powers, of the pupil. THE COURSE OF READING comprises three parts; the first part containing a more elaborate description of elementary sounds and the parts of speech grammatically considered than was deemed necessary in the preceding works; here indispensable: part second, a complete classification and description of every sentence to be found in the English, or any other language; examples of which in every degree of expansion, from a few words to the half of an octavo page ength are adduced, and arranged to be read; and as each species has its peculiar delivery as well as structure, both are learned at the same time; part third, paragraphs; or sentences in their connection unfolding general thoughts, as in the common reading books. It may be ob served that the selections of sentences in part second, and of paragraphs in part third, comprise some of the finest gems in the language: distinguished alike for beauty of thought and facility of action. If not found in a school book, they might be appropriately called "elegant extracts." THE ELEMENTS OF READING AND ORATORY closes the series with an exhibition of the whole theory and art of Elocution exclusive of gesture. It contains, besides the classification of sentences already referred to, but here presented with fuller statement and illustration, the laws of punctuation and delivery deduced from it the whole followed by carefully selected pieces for sentential analysis and vocal practice. THE RESULT. The student who acquaints himself thoroughly with the contents of this book, will, as numerous experiments have proved; 1st, Acquire complete knowledge of the structure of the language; 2d, Be able to designate any sentence of any book by name at a glance; 3d, Be able to declare with equal rapidity its proper punctuation; 4th, Be able to declare, and with suf ficient practice to give its proper delivery. Such are a few of the general characteristics of the series of school books which the publishers now offer to the friends and patrons of a sound common school and academic education. For more particular information, reference is respectfully made to the "Hints," which may be found at the beginning of each volume. N. B The punctuation in all these books conforms, in the main, to the sense and proper devery of every sentence, and is a guide to both. When a departure from the proper punctua occurs, the proper delivery is indicated. As reading books are usually punctuated, it is a J er of surprise that children should learn to read at all. The above series of Reading Books are already very extensively introduced and commended u the most experienced Teachers in the country. "Prof. Mandeville's system is eminently original, scientific and practical, and destined wherever it is introduced to supersede at once all Maers." THE PRACTICAL ARITHMETIC: DESIGNED FOR SUCH INSTITUTIONS AS REQUIRE A GREATER NUMBER OF EXAMPLES THAN ARE ELEMENTARY ARITHMETIC. GEORGE BY R. PERKINS, A. M. PRINCIPAL AND PROFESSOR OF MATHEMATICS IN NEW YORK STATE NORMAL ETC. ETC. NEW YORK: D. APPLETON & COMPANY, 200 BROADWAY M DCCC LII. |