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RECOMMENDATIONS

OF

THOMSON'S DAY'S ALGEBRA,

BEING ONE OF THE SERIES OF DAY AND THOMSON'S ELEMEN-
TARY COURSE OF MATHEMATICS, FOR SCHOOLS
AND ACADEMIES.

FROM THE FACULTY OF YALE COLLEGE. The great excellence of Day's Algebra has been so fully acknowledged by the public, through a period of nearly thirty years, that it would be superfluous to ac company it with any formal recommendation. All that instructors will require to be assured is, that the present Abridgment, by Mr. James B. Thomson, faithfully presents the spirit aud character of the origins al. I have examined it sufficiently to feel satisfied that such is the fact; that while it presents to the young learner the science in a simple and attractive form, it surpasses most similar treatises in the aptness of its illustrations, the accuracy of its definitions, and the value and copiousness of its princis ples. DENISON OLMSTED. Yale College, June 6, 1843.

Speaking of the Abridgment of Day's Algebra, Prof. Silliman says, "I have full confidence in the views expressed above by Prof. Olmsted."

We fully concur in the above recommen dation of the Abridgment of Day's Algebra, from Prof. Olmsted.

Frofs. A. D. Stanley, J. L. Kingsley, C. A. Goodrich, T. D. Woolsey. C. U. Shepard, T. A. Thatcher, Yale College. Tutors

J. Nooney, D. Powers, L. J. Dudley, P. K. Clark, Yale College. Hawley Olmsted, Principal of Hopkins' Grammar School. A. N. Skinner, Principal of Select Classical School for boys LA. Daggett, Principal of Select School for boys.

From Stiles French. A. M., Principal of the Collegiate and Commercial School, at Wooster Place.

Messrs. Durrie & Peck,-I have examined, by request, Thomson's Abridgment of Day's Algebra, and take pleasure in commending it to teachers, as having all the well known merits of the original, with such additional illustrations and exercises as adapt it to the capacities of the young, and the method of instruction in schools and academies. The fact that this Abridg-, ment has received the approbation of Pres. Day himself, is a sufficient proof of its character. Respectfully yours. STILES FRENCH. New Haven, June 12, 1843,

From Daniel D. Tompkins M'Laughlin, A. M., Principal of a Classical School in New York city.

I have examined, with pleasure, the Abridgment of Day's Algebra, by James B.

Thomson, A. M. The accuracy of defini. tion and clearness of illustration, which characterize the large work, are faithfully preserved in this; and the addition of a farge number of examples, and some changes in the arrangement, greatly enhance the value of the production. I am acquainted with no elementary work on the subject so well adapted to the purposes of instruction, as this Abridgment, and shall gladly introduce it into my sehool.

DANIEL D. TOMPKINS M'LAUGHLIN. New York, June 12, 1843.

From Wm. H. Russell, A. M., Principal of

New Haven Family School for boys. Mr. J. B. Thomson-Dear Sir,-The merits of the Algebra, of which yours is an Abridgment, and my confidence in your knowledge of what was needed to adapt it to the use of schools and academies, and in your ability for the task you undertook, led me to expect that you would make the work what I find it to be, one eminently adapted to the wants of that large class of pupils in our schools, whose age and circumstances require a treatise more full in explanation, better furnished with examples for practice, and yet more limited in extent, than those in general use.

Yours truly, WM, H. RUSSELL.
June 13, 1843.

From S. S. Randall, Esq., Gen. Supt. Com

mon Schools, State of New York. I have examined the "Abriagment of Day's Algebra" by James B. Thomson, A. M., and am of opinion that it is admirably adapted to the use of the more advanced pupils in our Common Schools The clearness and copiousness of illustration, the simplicity of arrangement and development of principles which so eminently charac terize the original work, are faithfully re flected in the Abridgment; and several very valuable additional illustrations and rules are given in the present edition, rendering it better adapted to the wants of the students of our elementary institutions. I cheerfully recommend its introduction into our Common Schools.

SAML. S. RANDALL.

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S. D. Bross, Principal of Farmer's Halk
Academy, Goshen, N. Y.

J. H. Wilson, Principal of Binghampton
Academy, N. Y.

J. Thompson, Prin. Ithaca Academy, N. Y.
Wm. P. Pew, Principal of the Lancasterian
School, Ithaca, N. Y.

From D. French, Esq., Principal of Waltham High School.

Waltham, July 19, 1843. Dear Sir, I have examined your abridg ment of Day's Algebra, and consider it altogether the best work for beginners with which I am acquainted. The want of a suitable elementary work on Algebra has long been felt in our advanced schools. It appears to me that you have been singu larly successful in supplying that desideratum. Very truly yours, D. FRENCH. J. B. Thomson, A. M.

From R. K. Bourne, Esq., County Supt. Com. Schools, Chenango Co. N. Y. I have examined with much pleasure the abridgment of Day's Algebra. by James B. Thomson, A M., and am satisfied that in accuracy of definition and clearness of illustration, it is superior to any work of the kind with which I am acquainted The abridgment is emphatically what it professes. to be, "an easy and lucid transition from the study of Arithmetic to the higher branches of Mathematics" and admirably well aadapted to the use of our Common Schools

and Academies

ROSWELL K. BOURNE. Pitcher, Sept. 9, 1843.

From Cyrus Pierre, A. M., late Principal of the Normal School, Lexington, Mass

Dear Sir.-President Day's Algebra needs no praise at my hands. During a course of many years teaching, I have found no elementary Treatise to surpass its merits as a Text Book for fullness, simplicity and clearness.

Your abridgment, while it retains the characteristic excellences of the original work. by judicious omissions, additions, change of phraseology and arrangement, is admirably adapted to the use of beginners. and to the wants of Schools and Arecommend it to the attention of teachers cademies You have made a good book. I every where.

To JB Thomson, A. M. Nantucket, July 1, 1343.

C. PIERCE.

We fully concur in the views expressed by Mr. Pierce.

AUGUSTUS MORSE, Principal of Nantucket High School,

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From T. Lindsley, Esq. County Supt. Yates
Co. N. Y.

I have examined the abridgment of Day's Algebra not only with pleasure, but profit. The spirit and tone of the original have been remarkably preserved. I feel satisfied that no ordinary want has been fully sup plied. The illustrations, definitions, and principles, exhibit all the point, explicitness and accuracy of the large work. I can but entertain the hope that the public will soon be favored with Mr. Thomson's Geometry. THALES LINDSLEY.

Rushville, Sept. 24, 1843.

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Dear Sir-For twenty five years I have been familiar with Day's Algebra; was delighted with the improvements which it re ceived from the late Prof. Fisher; but be assured a rare treat has been reserved for While I your Abridgment" to furnish. acknowledge myself an admirer of the Original work. it is my full conviction that your improvements will secure it a wider circulation. The omissions and the enlargements; particularly the greatly increased

to say that in some respects, you have improved on that original.

I have long felt the need of a work on Algebra, for our Common Schools, cheaper, more easily grasped by the young learner, requiring a less extended course of studyin a word, a connecting link between A-rithmetic and the higher departments of Algebra. This desideratum is. I think, sup plied by your abridgment, and as such I shall recommend it to the Common Schools of this County. Very respectfully, your ubt. svt.

HENRY S. RANDALL.

I fully concur in the above recommenda tion of Mr. Randall. JR. DIXON,

Principal of Cortland Academy.

From T. Barlow, Esq. County Supt. Madison Co. N. Y.

I have carefully perused the abridgment of Day's Algebra. and highly approve of it as a work well adapted to the capacity of children, and the wants of our Common Schools. Algebra, properly simplified, can be advantageously introduced into our common schools, and at a much earlier age than is generally supposed. I can cheerfully recommend this work as one promising great utility from its proper adaptation to the capacity of the young. THOS. BARLOW. Canastota, Sept. 30, 1843.

number of examples, receive my unquali- From H. Wilson, Esq., County Supt. Alle fied approbation,

SILAS METCALF.

Kinderhook. Sept. 25th, 18413.

From President Nott and Dr. Potter, of
Union College.

The reputation of President Day's Algebra is so well established, that any commendation from the subscribers would ap pear superfluous. With regard to the abridgment of that work, prepared by Mr. J. B. Thomson, they cheerfully state that Mr. T.'s task seems to have been executed with judgment and skill; and that the work in its abridged form, will be found well adapt ed to higher schools and Academies.

ELIPHLT. NOTT.
ALONZO POTTER.

Union College, Sept. 20, 1843.

From H. S. Randall. A. M. County Supt.

ghany Co, N. Y.

From a cursory examination of Thomson's Abridgment of Day's Algebra, I am well satisfied it has superior merits which a discerning public will not fail to appreciate. In a word, I consider it the very thing our. Common Schools want. H. WILSON. Little Genesee, Oct. 4, 1843.

From President North, of Hamilton Col
lege.
Mr. J. B, Thomson,

Dear Sir.-Your edition of Day's Algebra, prepared for the use of schools, I have examined, and take pleasure in saying that the abridgment appears to me to have been While it judiciously and skilfully made. still retains those characteristics which have rendered the original work of Pres. Day so eminently popular and useful, it has been happily adapted to the capacities of the Cortland Village, Sept. 27, 1843. younger class of students, and hence in its My Dear Sir-From the examination present form is well fitted to occupy a place in common schools and Academies, similar which I have been enabled to give your Abridgment of Day's Algebra, I consider it to that which it has so long held in the Col eminently successful. You have condensedges of our country. Respectfully yours, SIMEON NORTH. and simplified, without subtracting from the strength of your original, and I feel bound Hamilton College, Oct 3, 1843.

of Cortland Co. N Y.

From I. Patchin, Esq., County Supt. Liv, ter introduced, constitute, in my opinion,

ingston Co. N. Y.

Mr. J. B. Thomson,

Dear Sir,-Having examined "Day's Algebra abridged," it gives me pleasure to say. I highly approve of it. At a Convention of the town Superintendents for this County. it was unanimously adopted as a text book to be used in our common schools

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The abridgment of Day's Algebra by Mr. Thomson is, in my opinion, a work that was much needed. The original, though highly and justly appreciated, I have long felt required more time than pupils in our Academies could ordinarily devote to the subject, consistently with the claims of the other branches of study.

decided improvement. The method of il lustration well combines the advantages of the inductive and synthetic modes of in struction, and is better calculated to give the learner a clear understanding of the subject, than any other that could be adopte ed. The work is simple in its phraseology, and clear and natural in its arrangement,it is copious without redundancy, and in its rules and definitions there is combined, in an unusual degree, perspicuity and conscise ness with sufficient fuluess. It is well cal culated to succeed Arithmetic, and forms an easy transition to the higher branches of Mathematics. It is better suited to our dents in higher schools, for whom it is suf common schools, and a large class of stuficiently extensive, than any work with which I am acquainted. It richly merits the general attention it will doubtless res

ceive.

JOSEPH CUMMINGS.

Amenia, Oct. 18, 1843.

New York.

Mr. J. B. Thomson-Dear Sir,-I have

The smaller works, which have been pub From Geo. Williams, Esq., Supt. Tioga Co. lished by different authors. and designed as elementary, did not supply the desideratum. We still wanted a treatise prepared in accordance with the true principles of analy-examined with care your Abridgment of sis, which could be put into the hands of Day's Algebra. It seems to me to possess youth, as a suitable text book for imparting all the superior merits of the original work, to them with proper attention, an adequate while it is so simplified as to be eminently knowledge of Algebra. adapted to the wants of common schools. I take pleasure in recommending it as supe rior to any other Algebra with which I am acquainted. Respectfully yours. GEORGE WILLIAMS.

Such a production, I think, we have in the work before us. Its prominent excellence is its comprehensiveness and its clear inductive method-elucidated by progress ive and numerous practical examples. We intend to introduce it forthwith into the Academy. E. HOSMER.

Glen's Falls, Oct. 11, 1843.

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From Rev. J. Cummings, A. M., Principal of Amenia Academy.

I have carefully examined "Day's Algebra Abridged," and can with pleasure recommend it as possessing in a very high degree the qualities necessary for a good text book. The merit of Day's Algebra is sufficiently attested by its general use, and the numerous recommendations of many of the soundest scholars and most successful teach ers. In the Abridgment the great excellencies of the larger work are retained, while the few changes in the arrangement and the omissions which have been made, together with the valuable additional mat

Owego, Oct. 20, 1813.

From S. P. Hough, Prof. of Mathematics in
Oneida Institute.

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A brief examination of Day's Algebra Abridged" has led me to a decision highly in its favor. No part in my opinion is omitted which was important in an elemen tary book on Algebra. On the other hand, by increasing the number of "examples for practice," and by furnishing additional Problems, there is surely an improvement upon the larger work. But this is com< mendation enough,-that the Abridgment is indeed what it was intended it should be -in esssence, Day's Algebra still.

STANLEY P. HOUGH.
Oneida Institute, Oct. 20, 1843.

From J. Newman, A. M.. Prof. Math. Troy
Conference Academy, Vt.

Mr Thomson-Sir,

I have examined with great satisfaction your "Abridgment of Day's Algebra." Even the typography of the book' recom mends it; but its chief excellence consists in its lucid arrangement; in the copious and yet concise enunciation of propositions; in simple and appropriate illustrations ; and

in the numerous problems for solution-with
section 8th on powers, and section 9th on
roots, I am specially pleased. They are the
best I have seen. In short. your Abridg
ment retains the characteristic excellencies
of the original, whilst it excludes all that
which either is not practical or too abstruse
for most Academic students. I recommend
it to the attention of all instructors of the
youthful mind.
JOHN NEWMAN.

West Poultney, Vt.. Nov. 9, 1843.

From a cursory perusal of your " Abridg ment of Day's Algebra," I fully concur with Prof. Newman.

GEO. B. CONE, Prof. Lang.

From E. R. Reynold's, County Supt. of Or

leans County, N. Y.

I have read the Abridgment of Day's Algebra with great pleasure. It seems to me to combine all the most desirable requisites of a useful school book. It unites the minute ex planations of the Inductive with the scientific arrangement of the Synthetic method of instruction. It preserves all the excellencies of the larger work, while supplying most of its deficiencies. made trial in teaching. of several different Algebraic works, I cheerfully give this the preference of all 1 have met with, as an elementary treatise on this important science. EDWIN R. REYNOLDS.

Albion, Nov 15, 1842.

Having

I agree with the sentiments expressed by
Mr. Reynolds.

J. W. FRENCH,
Principal of Albion Acad.

From Pres. Hopkins. of Williams Col, Mass.
Mr. J B. Thomson-Dear Sir, I can not

hesitate to express my full and hearty ap-
probation of the Abridgment of Day's,
Algebra of which you are about to publish
a second edition.
M. HOPKINS.

From the Principal and Professors of Cas tleton Seminary, Vt.

bra into our Seminary, and shall gladly see it adopted generally in the schools of our country. Very respectfully yours.

EDWARD J. HALLOCK, A. M,

Principal Castleton Seminary. SAMUEL HURLBUT, Jr. A. M..

Prof, of Greek and Nat. Phil. JOHN C. CHURCHILL. A B., Prof. of Latin and Mathematics. Castleton Seminary, Nov. 16, 1843.

From J. Bates, A. M., Principal of Brockport Collegiate Institute.

Mr. J. B. Thomson - Dear Sir,-Your abridgment of Day's Algebra is in my estimation a decided improvement We now have several classes who use it for a text book, aud, I am happy to say, are doing much better than with the old edition. One class of 12 boys, from 8 to 12 years of age, are making fine progress in it. It will not supercede Day's Algebra in our higher schools; but in my opinion is admirably calculated for younger scholars in such schools, and for general use in common schools. Respectfully yours. Brockport,Dec. 11, 1843.

JULIUS BATES.

From President Wayland, of Brown University, R I.

Brown University, Dec. 18, 1843. quest, I cheerfully express my opinion of Dear Sir.-In compliance with your reDr. Day's Femei ts of Algebra. I used it as a text book during the whole period of my tutorship in Union College. and was then fully convinced of its excellence. Its order is lucid, its statements precise, its explanations clear, and its examples numer ous and well selected; reminding me fre

quently of the calm and transparent mind
of its venerable author. The abridgment
has been executed under the direction of
the author, and will. I doubt not, be a valu-
able addition to our means of instruction
in that department.

I am, Dear Sr. yours truly.
F. WAYLAND.
J. B. Thomson, Esq.

From H. Onderdonk, Jr., Principal Union

Hall Academy.

Mr. J. B. Thomson-Dear Sir.-We have examined at length your Abridgment of Day's treatise on Algebra. and are now prepared to speak of it in terms of unqualified approbation. As teachers we have long observed and felt the need of some alteration in the larger work which should adapt it more particularly to the higher classes in our common schools and to our seminaries. Day's Algebra has ever been a favorite This want we think is well supplied by the work with me. As a scholar and teacher work which now appears, and which, we I have for many years had an opportuniare happy to perceive, retains all those ex-ty of testing its worth. I would especially cellences which characterize the larger work of Dr. Day, and entitle it to a superiority over any other work on the subject of Algebra hitherto published in this coun

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recommend its use to all persons who are pursuing the study without the assistance of a teacher, as the science is so clearly and simply set forth, that with no other help the student inay become a self-taught Algebraist. The abridged, (and I may say improved,) edition strikes

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