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COURSE OF MATHEMATICAL WORKS,

BY GEORGE R. PERKINS, A. M.,

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 written numbers; an imperfect knowledge of Numeration; inadequate conceptions of the nature and relations of Fractions, and a lack of familiarity with the principles of Decimals, have induced the author to prepare the PRIMARY ARITHMETIC.

The first part is devoted to MENTAL EXERCISES, and the second to Exercises on the Slate and Blackboard.

While the minds of young pupils are disciplined by mental exercises (if not wearisomely prolonged), they fail, in general, in trusting to "head-work" for their calculations; and in resorting to written operations to solve their difficulties, are often slow and inaccurate from a want of early familiarity with such processes: these considerations have induced the Author to devote 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.

Has recently been carefully revised and enlarged. It will be found concise, yet lucid. It reaches the radical relations of numbers, and presents fundamental principles in analysis and examples. It leaves nothing obscure, yet it does not embarrass by multiplied processes, nor enfeeble by minute details.

In this work all of the examples or problems are strictly practical, made up as they are in a great measure of important statistics and valuable facis in history and philosophy, which are thus unconsciously learned in acquiring a knowledge of the Arithmetic.

Fractions are placed immediately after Division; Federal Money is treated as and with Decimal Fractions; Proportion is placed before Fellowship, Alligation, and such rules as require its application in their solution. Every rule is marked with verity and simplicity. The answers to all of the examples are given.

The work will be found to be an improvement on most, if not all, previous elementary Arithmetics in the treatment of Fractions, Denominate Numbers, Rule of Three, Interest, Equa tion of Payments, Extraction of Roots, and many other subjects.

Wherever this work is presented, the publishers have heard but one opinion in regard to its merits, and that most favorable.

III. HIGHER ARITHMETIC. Price 84 cts.

The present edition has been revised, many subjects rewritten, and much new matter added; and contains an APPENDIX of about 60 pages, in which the philosophy of the more difficuit operations and interesting properties of numbers are fully discussed. The work is what its name purports, a Higher Arithmetic, and will be found to contain many entirely new principles which have never before appeared in any Arithmetic. It has received the strongest recommendations 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 the purpose."

V. TREATISE ON ALGEBRA.

Price $1 50.

This work contains the higher parts of Algebra usually taught in Colleges; a new method 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 edition, one entire chapter on the subject of CONTINUED FRACTIONS 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 it, because it follows more closely the best model of pure geometrical reasoning, which ever has been, and perhaps ever will be exhibited; and because the Author has condensed some of the important principles of the great master of Geometricians, and more especia... has shown that his theorems are not mere theory, oy many practical applications: a quality in a text book o this science no less uncommon than it is important."

THE SHAKSPEARIAN READER;

A COLLECTION OF THE MOST APPROVED PLAYS OF

Ꮪ Ꮋ Ꭺ Ꮶ Ꮪ Ꮲ Ꭼ Ꭺ Ꭱ Ꭼ .

Carefully Revised, with Introductory and Explanatory Notes, and a Memoir of the Author. Prepared expressly for the use of Classes, and the Family Reading Circle.

BY JOHN W. S. HOWS,

Professor of Elocution in Columbia College.

-The MAN, whom Nature's self hath made
To mock herself, and TRUTH tc imitate.-Spenser.

One Volume, 12mo, $1 25.

At a period when the fame of Shakspeare is "striding the world like a colossus," and edi tions of his works are multiplied with a profusion that testifies the desire awakened in all classes of society to read and study his imperishable compositions,-there needs, perhaps, but little apology for the following selection of his works, prepared expressly to render them unexcep tionable for the use of Schools, and acceptable for Family reading. Apart from the fact, that Shakspeare is the "well-spring" from which may be traced the origin of the purest poetry in our language, a long course of professional experience has satisfied me that a necessity exists for the addition of a work like the present, to our stock of Educational Literature. His writings are peculiarly adapted for the purposes of Elocutionary exercise, when the system of instruction pursued by the Teacher is based upon the true principle of the art, viz.-a careful analysis of the structure and meaning of language, rather than a servile adherence to the arbitrary and mechanical rules of Elocution.

To impress upon the mind of the pupil that words are the exposition of thought, and that in reading, or speaking, every shade of thought and feeling has its appropriate shade of modulated tone, ought to be the especial aim of every Teacher; and an author like Shakspeare, whose every line embodies a volume of meaning, should surely form one of our Elocutionary Text Books. Still, in preparing a selection of his works for the express purpose contemplated in my design, I have not hesitated to exercise a severe revision of his language, beyond that adopted in any similar undertaking-"Bowdler's Family Shakspeare" not even excepted ;and simply, because I practically know the impossibility of introducing Shakspeare as a Class Book, or as a satisfactory Reading Book for Families without this precautionary revision.Extract from the Preface.

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translated from the French of M. DES MICHELS, Rector of the College of Rouen, with Additions and Corrections.

BY G. W. GREENE,

Professor of Modern Languages in Brown University.

Accompanied with Numerous Engravings and Maps. One Volume, 12mo.

TO BE FOLLOWED BY

A Manual of Modern History, down to the French Revolution. A Manual of Ancient History.

A History of Rome.

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Great pains will be taken to adapt these books to the practical purposes of the Class Boom, and for the guidance of private students.

A MANUAL OF ANCIENT AND MODERN HISTORY,

COMPRISING:

1. ANCIENT HIS TORT, Containing the Political History, Geographical Position, and Socia State of the Principal Nations of Antiquity, carefully digested from the Ancient Writers, and illustrated by the discoveries of Modern Travellers and Scholars.

II. MODERN HIS гORY, containing the Rise and Progress of the principal European Nations, eir Political History, and the changes in their Social Condition: with a History of the Colonice Founded by Europeans. By W. COOKE TAYLOR, LL.D., cfTrinity College, Dublin. Revised, with Additions on American History, by C. S. Henry, D. D., Professor of History in the Univer y of N. Y., and Questions adapted for the Use of Schools and Colleges. One handsome vol., Evo, of 800 pages, $2,25; Ancient History in 1 vol. $1,25, Modern History in 1 vol., $1,50.

The ANCIENT HISTORY division comprises Eighteen Chapters, which include the general comes of the History of Egypt--the Ethiopians-Babylonia and Assyria-Western Asia-Pa estine -the Empire of the Medes and Persians-Phoenician Colonies in Northern Africa-Found ation and History of the Grecian States-Greece-the Macedonian Kingdom and Empire--the States that arose from the dismemberment of the Macedonian Kingdom and Empire-Ancient Italy-Sicily-the Roman Republic-Geographical and Political Condition of the Roman Empire --History of the Roman Empire-and India-with an Appendix of important illustrative articles. This portion is one of the best Compends of Ancient History that ever yet has appeared It contams a complete text for the collegiate lecturer; and is an essential hand-book for the student who is desirous to become acquainted with all that is memorable in general secular archæology. The MODERN HISTORY portion is divided into Fourteen Chapters, on the following general subjects:--Consequences of the Fall of the Western Empire-Rise and Establishment of the Saracenic Power-Restoration of the Western Empire-Growth of the Papal Power-Revival of Literature-Progress of Civilization and Invention-Reformation, and Commencement of the States System in Europe-Augustan Ages of England and France-Mercantile and Colonial System-Age of Revolutions-French Empire-History of the Peace-Colonization-China--the Jews-with Chronological and Historical Tables and other Indexes. Dr. Henry has appended a new chapter on the History of the United States.

This Manual of Modern History, by Mr. Taylor, is the most valuable and instructive work concerning the general subjects which it comprehends, that can be found in the whole department of historical literature. Mi. Taylor's book is fast superseding all other compends, and is already adopted as a text-book in Harvard, Columbia, Yale, New-York, Pennsylvania and Brown Uni. versities, and several leading Academies.

LECTURES

ON

MODERN HISTORY.

By THOMAS ARNOLD, D.D.,

Regius Professor of Modern History in the University of Oxford, and Head Master of Rugby School.

EDITED, WITH A PREFACE AND NOTES,

By HENRY REED, LL.D.,

Professor of English Literature in the University of Pa.

One volume, 12mo. $1,25.

Extract from the American Editor's Preface.

m preparing this edition, I have had in view its use, not only for the general reader, but also text-book in education, especially in our college course of study. *** The introduction of the work as a text-book I regard as important, because, as far as my information entitles me to speak, there is no book better calculated to inspire an interest in historical study. That it has this power over the minds of students I can say from experience, which enables me also to add, that I have found it excellently suited to a course of college instruction. By intelligent and en terprising members of a class especially, it is studied as a text-book with zeal and animation.

HISTORICAL

AND

MISCELLANEOUS QUESTIONS.

BY RICHMALL MANGNALL.

First American, from the Eighty-fourth London Edition. With large Additions Embracing the Elements of Mythology, Astronomy, Architecture, Heraldry, &c. Adapted for Schools in the United States

BY MRS. JULIA LAWRENCE.

Illustrated with numerous Engravings. One Volume, 12mo. $1.

CONTENTS.

A Short View of Scripture History, from the Creation to the Return of the Jews-Questions from the Early Ages to the time of Julius Cæsar-Miscellaneous Questions in Grecian History -Miscellaneous Questions in General History, chiefly Ancient-Questions containing a Sketch of the most remarkable Events from the Christian Era to the close of the Eighteenth CenturyMiscellaneous Questions in Roman History-Questions in English History, from the Invasion of Cæsar to the Reformation-Continuation of Questions in English History, from the Reformation to the Present Time-Abstract of Early British History-Abstract of English Reigns from the Conquest-Abstract of the Scottish Reigns-Abstract of the French Reigns, from Pharamond to Philip 1-Continuation of the French Reigns, from Louis VI to Louis Phillippe-Questions Relating to the History of America, from its Discovery to the Present Time-Abstract of Roman Kings and most distinguished Heroes-Abstract of the most celebrated Grecians-Of Heathen Mythology in general-Abstract of Heathen Mythology-The Elements of Astronomy-Expla tion of a few Astronomical Terms-List of Constellations-Questions on Common Subjects Questions on Architecture-Questions on Heraldry-Explanations of such Latin Words and Phrases as are seldom Englished-Questions on the History of the Middle Ages.

"This is an admirable work to aid both teachers and parents in instructing children and youth, and there is no work of the kind that we have seen that is so well calculated "to awaken a spirit of laudable curiosity in young minds," and to satisfy that curiosity when awakened."

HISTORY OF ENGLAND,

From the Invasion of Julius Cæsar to the Reign of Queen Victoria.

BY MRS. MARKHAM.

A new Edition, with Questions, adapted for Schools in the United States.

BY ELIZA ROBBINS,

Author of "American Popular Lessons," "Poetry for Schools," &c.

One Volume, 12mo. Price 75 cents.

There is nothing more needed in our schools than good histories; not the dry compends iL present use, but elementary works that shall suggest the moral uses of history, and the provi dence of God, manifest in the affairs of men.

Mr. Markham's history was used by that model for all teachers, the late Dr. Arnold, master of the great English school at Rugby, and agrees in its character with his enlightened and pious Fiews of teaching history. It is now several years since I adapted this history to the form and price acceptable in the schools in the United States. I have recently revised it, and trust that i' may be extensively serviceable in education.

The principal alterations from the original are a new and more convenient division of para Erphs, and entire omission of the conversations annexed to the chapters. In the place of these I have affixed questions to every page that may at once facilitate the work of the teacher and the pupil. The rational and moral features of this book first commended it to me, and I have used it successfully with my own scholars.-Extract from the American Editor's Preface.

THE

FIRST HISTORY OF ROME,

WITH QUESTIONS.

BY E. M. SEWELL,

Author of Amy Herbert, &c., &c. One volume, 16mo. 50 cts.

Extract from Editor's Preface.

"History is the narrative of real events in the order and circumstances in which they oc curred; and of all histories, that of Rome comprises a series of events more interesting and in. structive to youthful readers than any other hat has ever been written.

Of the manner in which Mrs. Sewell has executed this work, we can scarcely speak in terms of approbation too strong. Drawing her materials from the best-that is to say, the most reliable sources, she has incorporated them in a narrative at once unostentatious, perspicuous, and graphic; manifestly aiming throughout to be cleariy understood by those for whom she wrote, and to impress deeply and permanently on their minds what she wrote; and in both of these aims we think she has been eminently successful."

Norfolk Academy, Norfolk, Va.

I must thank you for a copy of "Miss Sewell's Roman History." Classical teachers have long needed just such a work: for it is adınitted by all how essential to a proper comprehension of the classics is a knowledge of collateral history. Yet most pupils are construing authors before reaching an age to put into their hands the elaborate works we have heretofore had upon Ancient History. Miss Sewell, while she gives the most important facts, has clothed them in a style at once pleasing and comprehensible to the most youthful mind.

R. B. TSCHUDI,

Prof. of Anc't Languages.

THE

MYTHOLOGY OF ANCIENT GREECE AND ITALY,

FOR THE USE OF SCHOOLS.

BY THOMAS KEIGHTLEY.

One vol. 16mo. 42 cts.

"This is a volume well adapted to the purpose for which it was prepared. It presents, in a very compendious and convenient form, every thing relating to the subject, of importance to the young student."

GENERAL

HISTORY OF CIVILIZATION IN EUROPE,

FROM THE FALL OF THE ROMAN EMPIRE TO THE FRENCH REVOLUTION. BY M. GUIZOT.

Eighth American, from the second English edition, with occasional Notes, by C. S. HENRY, D.D. One volume, 12mo. 75 cts.

"M. Guizot, in his instructive lectures, has given us an epitome of modern history, distinguished by all the merit which, in another department, renders Blackstone a subject of such peculiar and unbounded praise. A work closely condensed, including nothing useless, omitting nothing essential; written with grace, and conceived and arranged with consummate ability."-Boston Traveller.

This work is used in Harvard University, Union College, University of Pennsylvania New York University, &c. &c.

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