EDUCATION, &c. 



ELEMENTS OF THE INTEGRAL CAL- 

 CULUS ; with its Applications to Geometry, 

 and to the Summation of Infinite Series, &c. 

 Revised and corrected by Michael O'Shan- 

 NESSY, A. M. One vol. 8vo. 



" The volume before us forms the third of an analyti- 

 cal course, which commences with the ' Elements of 

 Analytical Geometry.' More elegant text-books do not 

 exist in the English language, and we trust they will 

 speedily be adopted in our Mathematical Seminaries. 

 The existence of such auxiliaries will, of itself, we hope, 

 prove an inducement to the cultivation of Analytical 

 Science ; for, to the want of such elementary works, the 

 indifference hitherto manifested in this country on the 

 subject is, we apprehend, chiefly to be ascribed. Mr. 

 Young has brought the science within the reach of every 

 intelligent student, and, in so doing, has contributed to 

 the advancement of mathematical learning in Great 

 Britain." — Presbyterian Review, January, J83-2. 



" We remember the time when such a work as this 

 would have been invaluable, and we do not think that 

 any late publication has superseded the necessity of it." 

 —Spectator, September 24, 1831. 



ELEMENTS OF THE DIFFERENTIAL 

 CALCULUS; comprehending the General 

 Theory of Curve Surfaces, and of Curves of 

 Double Curvature. Revised and corrected 

 by Michael O'Shannessy, A. M. One vol. 

 12mo. 



" The whole Elements of the Differential Calculus, 

 comprehending all that is most valuable in the large 

 works of the most celebriaied Analysts, are contained in 

 one volume, beautifully printed on a fine paper, and 

 neatly bound in cloth. It appears to be in every respect 

 well fitted for a Class-Book, and can scarcely fail to be 

 very generally adopted " — Presbyterian Review, Septem 

 ber, 1831. 



" There are no affected changes of method : there is 

 no parade of original plan, or of novelty of principle 

 and yet there is much original matter, much original 

 reasoning, and, what is of more value than all questions 

 about originality in an elementary treatise, there is a I 

 perspicuity, a unity of method prevailing in all its parts, 

 that renders it more than any book we have seen pecu- 

 liarly adapted to instruction. 



" It is not, however, as an elegant and perspicuous 

 development of the first principles of the Calculus, mere- 

 ly, that we have admired, and therefore recommended 

 Mr. Young's little work. We have also found much to 

 commend in it of a more profound character — much that 

 we look for in vain in larger works, and indeed in all 

 English books. 



"The paralogisms of some other writers, distinguished 

 ones too, are pointed out in the preface, and in the body 

 of the work ; and many steps which have hitherto been 

 deemed unquestionable, have been shown by Mr. Young 

 to be altogether fallacious. We wonder, indeed, when 

 we see them pointed out, why they did not occur to our- 

 selves nor to any body else till now ; and we look upon 

 the aptitude displayed in these detections to be highly 

 characteristic of a mind which looks with a laudable 

 anxiety to the purity of the fundamental principles of 

 science." — Philosophical Magazine, October, 1831. 



ELEMENTS OF PLANE AND SPHER- 

 ICAL TRIGONOMETRY ; with its appli- 

 cations to the Principles of Navigation and 

 Nautical Astronomy, with the necessary 

 Logarithmic and Trigonometrical Tables. 

 By J. R. Young. To which is added, some 

 Original Researches in Spherical Geometry, 

 By T. S. Davies, Esq. Revised and correct- 

 ed by John D. Williams. One vol. 12mo 



" In the Spherical Trigonometry, the fundamental 

 Theorems are laid down with great clearness and per 

 spicuity, and the subsequent formula are derived both 

 briefly ,and elegantly. 



" W'e hope, therefore, that the account w-e have been 

 able to offer of this unpretending volume, will have the 

 effect of calling the attention of younger students, (and 

 still more of professional tutors,) to it, as a book emi- 

 nently calculated to insure an early intimacy with the 

 practice as well as the principles of Trigonometry, and 



of attracting the notice of Geotneters generally to the 

 curious results that appear in the supplemental chapters, 

 and inducing them to attempt the extension of a branch 

 of science, which apparently admits of almost unlimit- 

 ed cultivation." — Philosophical Magazine. 



A TREATISE ON ASTRONOMY. By Sir 

 John F. W. Herschel, F. R. S., &c.* One 

 vol. 12mo. 



'The present treatise is in no wise inferior to its pre- 

 decessor : it is characterized by the same agreeable and 

 elegant style, the same facility of illustration — added to 

 which it possesses unrivalled precision and accuracy of 

 demonstration. Avoiding, therefore, the abstruse nice 

 ties and the transcendental mathematics of the subject, 

 the author has nevertheless produced a volume calculat- 

 ed, we are fully persuaded, to impress upon his readers 

 the magnitude and importance of the science, and to in 

 itiate them in no mean degree into its mysiertcu- '—L* : 

 Gazette. 



A GEOLOGICAL MANUAL. By Henry 

 T. DE la Beche, Esq., F. R. S., F. G. S., 



the Geological Society of 

 In one vol. 8vo., with 104 



Member of 

 France, &c. 

 wood cuts. 



"The management of the work is clever, while there 

 is great merit in the original remarks, and a vast fund 

 of information throughout."— ./3iZas. 



" Mr. De la Beche's Geological Manual is the first and 

 best work of the kind, and he has performed his task 

 with a perfect knowledge of all that has been ascertain- 

 ed in Geology, and with considerable judgment and taste 

 in the manner of doing it. So much Geological science 

 was never before compressed in so small a space."— 

 Spectator. 



" A work of first-rate importance in the science to 

 which it relates, and which must henceforth take its 

 place in the library of every student of Geology." — Phi- 

 losophical Magazine. 



" Even those who cultivate this most fascinating 

 branch of science only in their Cabinet and Library, 

 will find that they cannot be without it."— Jameson's 

 Edinburgh Philosophical Journal, 



A COLLECTION OF ITALIAN COLLO- 

 QUIAL PHRASES, on every subject ne- 

 cessary to maintain Conversation, the whole 

 so disposed as considerably to facilitate the 

 acquisition of the Italian language. By an 

 Italian Gentleman. One vol. 18mo. 

 NOVELLE IT ALIANE.— Stories from Ital- 

 ian Writers, with a literal, interlinear trans- 

 lation, on Locke's plan of Classical Instruc- 

 tion, illustrated with Notes. First American 

 from the last London edition, with additional 

 translations and notes. 1 vol. 12mo. 

 DIALOGHI DISPOSTI PER FACILI- 

 TARE LO STUDIO DELLA LINGUA 

 ITALIANA, Scritti in Francese da A. G. 

 Collot. Tradotti da F. Mancinelli Ro- 

 mano. One vol. 18mo. 

 THE NATIONAL SCHOOL MANUAL: 

 a regular and connected Course of Element- 

 ary Studies, embracing the necessary and 

 useful Branches of a Common Education. In 

 Four Parts, with a quarto Atlas. Compiled 

 from the latest and most approved Authors, 

 by M. R. Bartlett. 



The plan of this work was the suggestion of the late 

 Governor Clinton, whose zeal and efforts in the cause 

 of o*r Public Schools, will be cherished with grateful re 

 membrance to the latest posterity ; and this work, so far 

 as it had advanced, up to the time of his lamented death 

 received his favorable regard and patronage. 



The object of the National School Manual, is to fur 

 nish a System of instruction, for a thorough English ed 

 ucation, in a plain, practical, and progressive Series of 

 1 Lessons, collaterally arranged. 



