EDINBURGH EVENING COURANT.-This volume is intended for the use of schools, and it is recommended for this purpose by all the necessary qualities of brevity, accuracy, and cheapness. These indeed are the chief qualities requisite in a mathematical work, and these it possesses in an eminent degree. It is also improved by being enlarged, which is more than can be said for some works; and it may be therefore recommended as one of the most popular and comprehensive works of the kind yet published.

EDINBURGH OBSERVER.-This is a second edition thoroughly revised, with many important additions and improvements, of a highly useful and popular work. Mr Ingram's mathematical and arithmetical publications have long ago secured him the reputation of an able and perspicuous elementary writer; and we have abundant evidence in the book before us, that, in point of practical utility, he is in advance of many, and behind none of his competitors in the field of abstruse science. Among the additions now made are an accurate set of stereotyped Tables, comprising Logarithms of Numbers, Logarithmic Sines and Tangents, Natural Sines and Tangents, and the Areas of Circular Segments, all of which students will find extremely valuable.

NORTH BRITON.-Although there is already a variety of treatises on this subject before the public, yet we can confidently affirm that there is not any single work which contains so much valuable matter so well arranged, and so admirably adapted to the purpose of teaching, or as a book of reference for engineers and practical mechanics. The rules are enunciated with a clearness and simplicity of expression rarely to be met with in elementary works on the same subject, and, what is perhaps of not much less importance, they are illustrated by a great variety of useful and appropriate examples, and still further elucidated by numerous well-executed diagrams. Upon the whole, we consider this work to be decidedly the cheapest and most useful Compendium of Practical Mathematics before the public.

GLASGOW COURIER.--Here is the phenomenon of a work on mathematical science, which is not repulsive in its appearance, but the reverse. ... It is a second edition of a book of great merit and popularity; but with an enlargement of size and plan, and a better and more comprehensive title. It now embraces the whole circle of the Mathematics,-and we apprehend will materially aid, not only in rendering agreeable, but also in popularising their study. The coarse and crude works of Davidson and others will not stand, for a moment, comparison with it; and, while it is profound as the best of them, it is cheap enough for any school, and pretty enough for any parlour.

GLASGOW CHRONICLE.-This is a new and greatly improved, as well as enlarged edition of a work which was even before excellent and popular. It is no longer a system of Mensuration merely, but a complete course of Mathematics. *** It is beautifully printed, and we feel assured will become popular.

GLASGOW FREE PRESS. The definitions throughout are remarkably concise, and the manner of working and solving the different questions and problems clearly and explicitly stated. There can be little doubt, that, were Mathematics as much in request as many other branches of knowledge, of far less importance to a country such as ours, this would become a book of very general use in schools, and among private students.

PERTHSHIRE COURIER.-The merits of the first edition of this useful work obtained for it a very extensive circulation; and the additions and improvements, which have been since made to it, are calculated to establish it still farther in popular favour. It has our strongest recommendation, and it is well deserving of it.

INVERNESS COURIER.-Mr Ingram's System of Mathematics, when first published, speedily rose into favour with all teachers and students, from its admirable clearness, precision, and practical value. This new edition will deepen the claims of the author upon the public.

DUMFRIES AND GALLOWAY COURIER.-It may with truth be affirmed, that few men have done more for the advancement of mathematical science than the late Mr Ingram. We have examined the volume with great care, and hesitate not in giving it our unqualified approbation. We cordially and honestly recommend it, not only to teachers and students, but also to practical men, firmly persuaded that no work with which we are acquainted is so well calculated to facilitate the study of Mathematics, and at the same time to be of ready reference on most subjects of real practical utility.

DUBLIN LITERARY GAZETTE. It is a work of practical utility, containing all that is necessary on these subjects to the measurer or mechanic, arranged in a clear and accurate manner. To all whose business or inclination inclines them to apply the principles of Mathematics to practice, we can warmly recommend this as a valuable guide.

A KEY to MR INGRAM's CONCISE SYSTEM of MATHEMATICS, containing the Solutions of all the Questions in that Work. By JAMES TROTTER, Teacher, Edinburgh. 12mo. In the Press.

4

ARITHMETIC AND BOOK-KEEPING.

THE PRINCIPLES of ARITHMETIC, and their Application to Business explained in a popular Manner, and clearly illustrated by simple Rules and numerous Examples; to which are prefixed, Tables of Monies, Weights, and Measures, according to the Imperial Standards. BY ALEX. INGRAM. FIFTH EDITION, thoroughly revised and considerably enlarged, 18mo, price 1s. bound.

LITERARY GAZETTE.-Ingram's Principles of Arithmetic deserves attention, as being at once a good teaching book, and explaining and applying the New Imperial Standard of Weights and Measures.

IMPERIAL MAGAZINE. This is a neat little volume, which contains much valuable matter, and promises to be exceedingly useful both in schools and for private students. The rules are laid down with great simplicity, and may therefore be easily comprehended.

DUMFRIES AND GALLOWAY COURIER. In this small volume there are more than eleven hundred examples, and many of these so judiciously chosen as to call forth the learner's thinking powers, and thus improve his mental faculties as well as fit him for the active business of life.. It possesses all that an introductory work should have, and at the same time has nothing redundant.

A KEY to this Work, containing Solutions of all the Questions performed at length. By ALEX. INGRAM. 18mo, price 2s. 6d. bound.

A Concise SYSTEM of PRACTICAL ARITHMETIC; containing the Fundamental Rules, and their Application to Mercantile Calculations; Vulgar and Decimal Fractions; Exchanges; Involution and Evolution Progressions; Annuities, Certain and Contingent; Artificers' Measuring, &c. By A. MELROSE. Revised, greatly enlarged, and adapted to modern Practice; with Tables of Monies, Weights, and Measures, according to the Imperial Standards. By ALEX. INGRAM. NINTH EDITION, 18mo. price 2s. bound.

The Publishers again submit this Work to public notice, not merely as an introduction containing the most simple and useful Principles of Arithmetic, but as a complete Treatise, comprehending every thing necessary for enabling the Pupil to become master of this valuable Science. The various Rules are so arranged as to reflect light on each other. Many new and easy methods of calculation are introduced, not to be found in any other work; and the unprecedented number and variety of Questions subjoined to each section will afford a singular facility to the Teacher in conducting his Scholars, and to the Pupils themselves in understanding and applying the Rules. Every attention has been paid to the accuracy and neatness of the Work; and the Publishers confidently hope that it will be found possessed of every quality requisite in a Text Book.

A KEY to this Work, containing Solutions of all the Questions. By ALEX. INGRAM. 18mo, price 4s. bound.

ELEMENTS of ARITHMETIC, adapted to the New Weights and Measures; with an Appendix, containing the easiest Methods of comparing them with those formerly employed. By ELIAS JOHNSTON, Editor of Hamilton's Merchandise, &c. 18mo, price 2s bound.

The plan of these Elements is, in several respects, new. Every different operation is illustrated by an appropriate example; and every example is accompanied by such simple explanations as are sufficient, it is presumed, to enable the pupil to perform it himself.

HUTTON'S COMPLETE TREATISE on PRACTICAL ARITHMETIC and BOOK-KEEPING. A New Edition, adapted to the Imperial Standards of Weights and Measures, with a New Set of Books by Double Entry, exemplifying the modern Practice of Book-Keeping; and many other important Additions and Improvements. Edited by ALEX. INGRAM. 12mo, price 3s. bound.

A KEY to HUTTON's ARITHMETIC, containing Solutions of all the Questions performed at length. Edited by ALEX. INGRAM. 12mo, price 4s. bound.

NEW AND IMPROVED EDITIONS

OF

GEOGRAPHICAL CLASS-BOOKS,

LATELY PUBLISHED

BY OLIVER & BOYD, EDINBURGH;

AND SIMPKIN & MARSHALL, LONDON.

A SYSTEM of GEOGRAPHY, for the Use of Schools and Private Students; on a new and easy Plan, from the latest and best Authorities; including also the Elements of Astronomy, an Account of the Solar System, and a Variety of Problems to be solved by the Terrestrial and Celestial Globes. By THOMAS EWING, Author of The English Learner, Principles of Elocution, and Rhetorical Exercises. THIRTEENTH EDITION, thoroughly revised, greatly extended, and brought down to the present Time, without any increase of Price. 12mo, price 4s. 6d. bound; or, with Nine Maps, 6s. 6d.

The very favourable reception experienced by this System of Geography, which has passed through twelve editions in the course of a few years, and the gratifying testimonies in its favour received from the most respectable quarters, have encouraged the author to spare no pains in making the present edition, in every respect, still more complete.

Geography is not a stationary science, but is continually varying with the current of events. The great revolutionary movement in Europe has been, it is true, for some time in a quiescent state; but, in its progress, it subverted many thrones and removed many landmarks; and hence occasion was taken, in former editions, to adjust the description of the continental nations according to the changes which had occurred in the course of the late war. Care has been taken, in the present impression, to exhibit these still more amply, as well as to include such recent alterations as have been produced by the insurrectionary contest in the east of Europe, and by other minor causes. At the same time the spirit of innovation communicated from Europe has changed, and is still changing, very materially, the political aspect of South America; while expeditions of Discovery, sent by the British government, have traced to a great extent the coasts and islands of the Arctic Regions which were hitherto unknown. In Africa also, the adventurous steps of British travellers have explored many new kingdoms, of which even the names had not before reached Europe. In Asia, the range of our Indian empire has been extended, and war and embassy have made us better acquainted with several great countries immediately bordering upon its frontiers.

In the above respects the present edition has been subjected to a revision at once extensive, minute, and laborious; and hence all the new discoveries will be found regularly recorded and classified. The Maps also attached to the work have been corrected in the same careful manner, and adjusted to the information most recently obtained.

Besides the general revision which the work has thus undergone, several new articles have been introduced into the present edition. The most important of these are various sets of Exercises, which will afford a useful help for the purpose of examination. They are introduced at convenient intervals, and made to embrace several countries at once, so as to secure greater diligence and more extensive preparation on the part of the pupil.

Another important improvement consists in the information given respecting the Rivers. In some instances their source only is mentioned, in others a description of their course is superadded, while some have their tributaries also enumerated.

Lastly, The Pronouncing Vocabulary has been greatly enlarged, embracing more than double the number of names that appeared in former editions, and every exertion has been used to make it accurate as well as copious.

On the whole, the author, in offering this edition to the public, trusts that it will be found very considerably improved, and to comprise more full and authentic informa tion than will be found in any similar work on the subject.

BLACKWOOD'S MAGAZINE. We think the plan of Mr Ewing's Geography is judicious; and the information, which with much industry he has collected in his Notes, cannot fail to be extremely useful, both in fixing the names of places more deeply on the pupils' memory, and in storing their minds with useful knowledge; while, by directing their attention to the proper objects of curiosity, it lays a broad foundation for their future improvement. The account of the Solar System, given in the Introduction, is correct and perspicuous, and is well elucidated by the accompany.

2

GEOGRAPHICAL CLASS-BOOKS.

ing Notes. This part of the work we think particularly valuable. We know the difficulty of imparting to young pupils any accurate idea of the relative magnitudes, distances, and revolutions of the planets; yet without some knowledge of these Geography cannot be properly understood. • To remove every difficulty out of the way of teachers who may not have had much experience, Mr Ewing has sketched out a method of instruction, which, being varied of course according to circumstances, may be found of considerable advantage. We approve highly of the plan of having a Vocabulary at the end of the work, comprehending such names as are liable to be erroneously pronounced, divided and accented according to the usual mode of pronuncia

tion.

EDINBURGH LITERARY JOURNAL.-The best possible proof of this book being a good book is, that it has come to a twelfth edition. Mr Ewing is an active and able teacher, and all his works are excellently adapted for public schools and private seminaries.

SCOTSMAN. This is one of the best school-books that we have seen. It is clear and methodical, simple in point of style, copious in its details, correct and recent in its information. We learn that it has been adopted as a class-book in many large seminaries in Britain and America; and, what can be said of few publications of the kind, it may be recommended as an excellent manual for grown-up persons, who want money to purchase, or time to peruse, more bulky works."

CALEDONIAN MERCURY. It is a most judicious Compendium of Geography, being stored with facts and information; the whole skilfully arranged and adapted to the capacity of the learner. The style is simple and pleasing, so that the work cannot fail to be popular as well as useful.

GLASGOW FREE PRESS. The man who is master of this treatise, need hardly repair to more voluminous sources of knowledge in civil and natural Geography.

SCOTS TIMES.-Hardly any book of a similar description can be found, which contains so much solid information within the same compass.

DUMFRIES COURIER.-We can honestly recommend this volume for fidelity, neatness, and completeness.

CRITICAL REVIEW.- We can recommend Mr Ewing's book to the Geo. graphical student. He first gives the Historical Geography of the Countries, and subsequently the Political, Civil, and Natural Geography. Under the Chronological Article we have a general account of the various Population of every country, traced to the most remote antiquity, and brought down to the present time. To these particulars are added a Series of useful Problems on the Terrestrial and Celestial Globes, with a Vocabulary of such names of places of which the Orthoepy is doubtful, and which are divided and accented according to the most usual mode of pronunciation.

EVANGELICAL MAGAZINE. We have examined this work with care, for the sake of our children, and can speak with decision both as to its plan and execution. It has reached a seventh edition, and we doubt not will always remain a standard work.

WESLEYAN METHODIST MAGAZINE.—A very judicious and useful elementary work, furnished with nine Maps neatly executed.

NEW BAPTIST MISCELLANY.-Laudable pains have been taken to correct and modernise this work, which compresses a very large quantity of information into a small compass. The Maps are neat, distinct, and apparently accurate. We believe there is no other book of the kind which affords so much instruction at so low a price. BRITISH MAGAZINE.-The fact of this work having already passed through twelve editions, is a sufficient proof of the favour with which the public regard it. Our only duty, therefore, is to assure those of our younger readers, who are anxious to become acquainted with minute as well as general Geography, that the book now on our table contains all modern variations, as well as a useful pronouncing Vocabulary, and many interesting Problems for both Globes.

IMPERIAL MAGAZINE.-This work having reached the twelfth edition, brings with it a better recommendation than the language of critical praise can bestow. Its reputation is honourably established in many of our most celebrated seminaries; and commanding a rapid and an extensive sale, the editor of each edition has an opportunity of introducing into his maps and pages the discoveries and changes which time brings to light, and of thus augmenting and perpetuating its claims to future fame.

LITERARY CHRONICLE.-An attentive perusal of this System of Geography has convinced us that it far excels any contemporary publication on the same scale. The whole work is arranged with much perspicuity, and every department evinces talent and industry. With these claims, it is not surprising that Mr Ewing's work should have passed through several editions-a circumstance of which that gentleman has availed himself to enlarge and greatly improve it.

ATHENEUM..-This work bears its merit on its title-page: we need say no more of it than that it has passed through eleven editions. It is a remarkably cheap book, containing 309 pages, with nine Maps, and is neatly bound.

AMERICAN JOURNAL.-Mr Ewing's Geography, occupying a middle place between mere outlines and the ponderous works of some other authors, neither disgusts the learner by a barren detail of names, nor perplexes his memory by too great a

GEOGRAPHICAL CLASS-BOOKS.

3

variety of information. We highly approve of his plan of reserving for a second course the part of the work printed in a smaller type. The valuable information which he has collected respecting the History, the Institutions civil and military, together with the Natural Geography of the various countries, will prove of much advantage to the advanced student; and as these are all classed under separate heads, they may be communicated to the pupil with great effect, particularly in private instruction, during the course of his studies. The inquisitive student will not rest satisfied with the knowledge on these various subjects which so small a compendium can impart; but he will here have the advantage of having his attention directed to the most important objects; and, by pursuing the plan to which he has been thus accustomed, will find himself materially aided in his future researches.—In the Introduction Mr Ewing has given a succinct but perspicuous account of the Solar System, illustrated by copious and useful Notes. Among the Improvements made on the new edition, we are happy to observe that he has introduced the Problems to be performed on the Celestial Globe, the Tables of the Constellations, with the Latin and English names, the number of the Stars in each, and the names and magnitudes of the most important. To these are added an Alphabetical List of the Constellations, with the right ascension and declination of each, and a Table of the mean right ascensions in Time; the declination and magnitudes of 40 remarkable Stars, with their names and literal characters. By means of these, with the assistance of the celestial globe, the learner may easily ac quire a competent knowledge of the heavenly bodies.

NEW YORK ACADEMICIAN.-Amongst the works we have seen on the subject of Geography, printed either in Europe or America, we have met with none comprising so nearly what we have considered a useful Compendium of Geography for all ages as that of Mr Thomas Ewing of Edinburgh. We were so impressed with the value of this excellent work, that, after perusal, we concluded to add it to the number of our School Class-Books. In conformity to what we have already premised, we do not offer this work to the world in the common acceptation of a book for Schools; we present it also as it is, a work calculated for every age of man; an epitome of Geography, History, and Chronology, arranged in a perspicuous manner, well calculated to impress upon the memory the facts and events it records.

EWING'S NEW GENERAL ATLAS; containing distinct Maps of all the principal States and Kingdoms throughout the World; in which the most recent Geographical Discoveries are accurately delineated. An entirely new Set of Plates, and Price much reduced. In royal 4to, price 14s. half-bound; coloured outlines, 16s.; or, full-coloured, 18s.

There is perhaps no branch of knowledge which is calculated to afford so much valuable instruction, combined with so large a portion of enlightened enjoyment, as that which treats of the form, structure, and divisions of the earth, and illustrates the manners and institutions of its various nations and kingdoms; while, unquestionably, there is no department of science which has partaken more largely than Geography in the impulse recently communicated to education in general.

The growing taste for this study cannot be better illustrated than by the increasing demand for works devoted to the subject,-on which account the vehicles for communicating such instruction, whether elementary or otherwise, ought to exhibit a degree of improvement proportioned to the interest thus excited.

Among works of this description no Atlas has enjoyed a more distinguished popularity, or had a more extensive sale, than the present; and the Publishers have consequently been induced to prepare a new edition,-resolved to spare no expense nor trouble in bringing it to the utmost possible perfection.

With this object in view, they have, under the superintendence of the author of the Geography, caused the whole series of Maps to be re-engraved by the Messrs Menzies of Edinburgh, artists long distinguished for their superior eminence in this department; and they trust it will be found that, for beauty of execution and distinctness of delineation, they may challenge a comparison with the most esteemed and costly productions of the present day. But while they have thus been careful to secure external embellishment, they venture with no less confidence to state, that in another respect still more important, that of accuracy, this Atlas can scarcely be surpassed.

On this head it may be stated, that it was an object of particular solicitude with Mr Ewing in preparing for the press the last edition of his Geography,—which has always formed a very close appendage to the Atlas, and which has obtained a decided preference, not only in Great Britain, but in many parts of the United States, British America, and other foreign settlements,-to incorporate into that Work, under the appropri ate sections, the substance of the extensive information diffused through the many valuable narratives of Voyages and Travels which the unwearied zeal of modern enterprise has recently accumulated. The most diligent research has accordingly been employed in collecting and arranging the important materials derived from these interesting sources. Particular mention may be made of Parry, Franklin, Richardson, and Hall, for North America; Humboldt, Mollien, Head, and Caldcleugh, for South America; Denham, Clapperton, and Campbell, for Africa; Burckhardt, Moorcroft, Cochrane, and Craw