toe same proud eminence among competitors that each of its predecessors ha<
uccessively enjoyed in a course of constantly improved editions, now rounded ttf
their perfect fruition for it seems 1 1m ^st that this science is susceptible of n4
During the period alluded to, many authors and editors in this department have
started into public notice, and by borrowing ideas and processes original with Dr.
Davies, have enjoyed a brief popularity, but are now almost unknown. Many of
the series of to-day, built upon a similar basis, and described as " modern books,"
are destined to a similar fate ; while the most far-seeing eye will find it difficult to
fix the time, on the basis of auy data afforded by their past history, when these
hooks will cease to Increase and prosper, and fix a still firmer hi-ld on the aflection
of every educated American.
One cause of this unparalleled popularity is found in the fact that the enterprise
of the author did not cease with the original completion of his books. Always a
practical teacher, he has incorporated in his text-books from time to time the ad-
vantages of every improvement in methods of teaching, and every advance in
Bcience. During all the years in which he has been laboring, he constantly sub-
mitted his own theories and those of others to the practical test of the class-room
approving, rejecting, or modifying them as the experience thus obtained might
suggest. In this way he has been able to produce an almost perfect series of
class-books, in which every department of mathematics has received minute and
Upon the death of Dr. Davies, which took place in 1876 ; his work was im
mediately taken up by his former pupil and mathematical associate of many years,
Prof. W. G. PKCK,LL.D., of Columbia College. By him the original Series is kept
carefully revised and not allowed hi any way to fall behind the times.
DAVIES' SYSTEM is THE ACKNOWLEDGED NATIONAL STANDARD FOR THB
UNITED STATES, for the following reasons :
1st. It is the basis of instruction in the great national schools at "West Point
2d. It has received the quasi endorsement of the National Congress.
3d. It is exclusively used in the public schools of the National Capital.
4th. The officials of the Government use it as authority in all cases involving
5th. Our great soldiers and sailors commanding the national armies and navies
were educated in this system. So have been a majority of eminent scientists in
this country. All these refer to " Davies " as authority.
6th. A larger number of American citizens have received their education from
this than from any other series.
7th. The series has a larger circulation throughout the whole country than any
other, being extensively used in every State in the Union,
National Series of Standard School-Soot:*.
Davies' National Course of Mathematics.
From L. VAN BOKKELEX, State SuperinUndtnt Public Instruction, Maryland.
The series of Arithmetics edited by Prof. Davies. and publi- firm,
lave been used for many years in the school- t) f n-ver;.l nmntie-. anil tli'' i itv i]
Baltimore, and have been appro-, ed 1
Under the law of 1365. establishing a uniionn -
these Arithmetics were unanimously adopted by "the >
after a careful examination, and are now used in "all the Public Schools of Marv
These facts evidence the hiarh opinion entertained by the School Authorities 4
(the value of the series theoretically and practically.
From HORACE WEBSTER, President of the College of- New Tort.
The undersigned has examined, with care and thon-rht, KI-V. of Da-
vies' Mathematics, and is of the opinion thai, as a \vlv: :iiplct*
anil b^st course for Academic and Collegiate instruction, with which he is ac-
From DAVID N. CAJIP, State Superintendent qf Common School*, Connecticut.
I have examined Davies' Series of Arithmetics with come care. The language
to dear and preeue : each principle ia thoroughly analyzed. and the whole BO ar
; us to facilitate the work of instruction. Haviiig observed tip
and success with which the different books have i . eminent teacher*.
it gives me pleasure to commend them to others.
From J. O. WILSON, Chairman Committee on Text-Books, WaalAnyton, D. C.
I consider Davies' Arithmetic? decidedly superior to any < Mid it
thi.-i opinion lam sustained. I believe, by the entire Board of Education and Corp*
of Teacher!? in this city, where they have been used for several years past.
From JOHN L. CAMPBELL, Professor of Mathematics, Wabash College, Indiana.
A proper combination of abstract reasoning and practical illustration is the
chief excellence in Prof. Davies' Mathematical works. J prefer his Aritl:'
AL''-lira<. Geometry and Tntronomeny to nil others now in use, and cordially re-
commend them to all who desire the aavaucemeut of sound learning.
From MAJOR J. H. WHTTTLESET. </orernmenl Inspector of Military Schools.
Be assured, I regard the works of Vrof. Davies, with which I am acquainted, as
by far the best left-books in print on nie subjects which they treat. I t-hall cer-
tainly encourage their adoption whet <;; era word from me may be of any avail.
From T. McC. BALLANTDTE, Prof. Ha'hemctlcs Cumberland CoOeye, Kentucky.
\ have long taught Prof. Davies' Course of Mathematics, and 1 cocHnuo to lit*
From JOHN MCLEAN BELL, B. A., Prin. of Lower Canada College,
Ihnve used Davies' Arithmetical on: 1 . Mathematical Series as text-books In the
schools under my charge for the laM, MX years'. These I have fount! -if treat effi-
cacy in exciting, invigorating, ana concentrating the- intellectual faculties of the
treatise serves as an introduction to the next higher, by the rimitarity of
its reasonings and methods; and the student is carried forward, by ei;-
gradual steps, ovtr the whole field of mathematical Inquiry, and that, too, Ina
tliortfr time than i-* usually occupied in na-terinir a s'uiL'1" department. I
Iy and heartily recommend them to the Attention of my fellow-teachers in Canada
From D. W. STEELE, Prin. Phuekoian Academy, Cold Springs, Texas.
I have used Davies' Arithmetics I 111 I know them nearly by heart A better
. eries of pchool-books never w<>re published. J have recommended them untU
.ro now used in all this region of country.
\ lanre mass of similar " Opinion -. " may be obtained by addrewing the pob
ichers for special ein-ubir for J'-a- i ' Mathematics. New recomnendationf art
%u Wished in current numoera of t'ae Educational Bulletin.
T?ie . Yftf tonal Series of Standard School-'Books.
By the Prof, of Mathematics at Columbia College, New York.
1. Peck's First Lessons in Numbers,
Embracing all that is usually included in what are called Primary and Intel-
lectual Arithmetics ; proceeding gradually from object lessons to abstract num-
bers; developing Addition and Subtraction simultaneously: with other attrac-
2. Peck's Manual of Practical Arithmetic,
An excellent "Brief" course, conveying a sufficient knowledge of Arithmetic
lor ordinary business purposes.
It is thoroughly "practical," because the author believes the Theory cannot be
studied with advantage until the pupil has acquired a certain facility in combin-
ing numbers, which can only be had by practice.
3. Peck's Complete Arithmetic,
The whole subject theory and practice presented within very moderate
limits. This author's most remarkable faculty of mathematical treatment is
comprehended in three words : System, Conciseness, Lucidity. The directness
and simplicity of this work cannot be better expressed than in the words of a
correspondent who adopted the book at once, because, as he said, it is " free
from that juggling with numbers " practiced by many authors.
From the " Galaxy" New York.
In the " Complete Arithmetic " each part of the subject is logically developed.
First ara given the necessary definitions ; second, the explanations of such signs
(if any) as are used ; third, the principles on which the operation depends ;
fourth, an exemplification of the manner in which the operaiion is performed,
which is so conducted that the reason of the rule which is immediately thereafter
deduced is made perfectly plain ; after which follow numerous graded examples
and corresponding practical problems. All the parts taken together are arranged
in logical order. The subject is treated as a whole, and not as if made up of
segregated parts. It may seem a simple remark to make that (for example) addi-
tion is in principle one and the same everywhere, whether employed upon simple
or compound numbers, fractions, etc., the only difference being in the -unit in-
volved ; but the number of persons who understand this practically, compared to
the number who have studied arithmetic, is not very great. The student of the
" Complete Arithmetic " cannot fail to understand it. All the principles of the
science are presented within moderate limits. Superfluity of matter to supple-
ment defective definitions, to make clear faulty demonstrations and rales ex-
pressed either inaccurately or obscurely, to make provision for a multiplicity of
cases for which no provision is requisite has been carefully avoided. The
definitions are plain and concise : the principles are stated clearly and accurately ;
the demonstrations are full and complete ; the rules are perspicuous and compre-
hensive ; the illustrative examples are abundant and well fitted to familiarize the
ntndent with the application of principles to the problems of science and of
fW The Definitions constitute the power of the book. We hare never seen
them excelled for clearness and exactness. Iowa Scfiooi Journal.
. National Series of Standard School-Hookt.
PECK'S HIGHER COURSE.
Peck's Manual of Algebra,
Bringing the methods of Bourdon within the range of the Academic Coarse.
Peck's Manual of Geometry,
By a method purely practical, and unembarrassed by the details which rather
confuse than simplify science.
Peck's Practical Calculus,
Peck's Analytical Geometry,
Peck's Elementary Mechanics,
Peck's Mechanics, with Calculus,
The briefest treatises on these subjects now published. Adopted by the great
Universities ; Yale, Harvard, Columbia, Princeton, Cornell, &c.
Reuck's Examples in Denominate Numbers,
Reuck's Examples in Arithmetic,
These volumes differ from the ordinary arithmetic in their peculiarly practical
character. They are composed mainly of examples, and afford the most severe and
thorough discipline for the mind. While a book which should contain a complete
treatise of theory and practice would be too cumbersome for every-day ue, tbe
insufficiency of practical examples has been a source of complaint.
Macnie's Algebraical Equations,
Serving as a complement to the more advanced treatises on Algebra, giving sp*.
cial attention to the analysis and solution of equations with numerical coefficient*.
Church's Elements of Calculus,
Church's Analytical Geometry,
Church's Descriptive Geometry, 2 vols..
These volumes constitute the " West Point Course " in their several department*.
Courtenay's Elements of Calculus,
A standard work of the very highest grade.
With applications to navigation and surveying, nautili and practical geometry
National Series of Standard Sctiool-Sooks.
Beers' System of Progressive Penmanship.
This "round hand" system of Penmanship in twelve numbers, com-
mends itself by its simplicity and thoroughness. The first four numbers
are primary books. Nos. 5 to 7, advanced books for boys. Nos. 8 to 10,
advanced books for girls. Nos. 11 and 12, ornamental penmanship.
These books are printed from steel plates (engraved by McLees), and ara
unexcelled in mechanical execution. Large quantities are annually sold.
Beers' Slated Copy Slips, per set
All beginners should practice, for a few weeks, slate exercises, familiar-
izing them with the form of the letters, the motions of the hand and arm,
&c., &c. These copy slips, 32 in number, supply all the copies found in a
complete seiies of writing-books, at a trifling co'st.
The National System of Penmanship, in three distinct series (1> Com-
mon School Series, comprising the first six numbers ; 02) Business Series,
Nos. 8, 11, and 12 ; (3) Ladies' Series, Nos. 7, 9, and 10.
Fulton & Eastman's Chirographic Charts,
To embellish the school room walls, and furnish class exercise in the
elements of Penmanship.
PaySOn'S Copy-Book Cover, per hundred
Protects every page except the one In use, and furnishes "lines" with prnpet
lope for the penman, under. Patented.
National Steel Pens, Card with all kinds
Pronounced by competent judges the perfection of American-made pens, and
superior to any foreign article.
School Pen, per gross, . .f 60
Academic Pen, do . . 63
Fine Pointed Pen, per gross 70
Capitol Pen, per gross, . . 1 00
do do pr. box of 2 doz. 25
Bullion Pen (ituit gold) pr. gr. 75
Ladies 1 Pen do 63
Index Pen, per gross ... 75
Albata Pen, per gross,
Bank Pen, do .
Empire Pen, do
Commercial )*cn, per gross
Express Pen, do
Falcon Pen, do
Elastic Pen, do
Stimpson's Scientific Steel Pen, per gross $1 50
One forward and two backward arches, ensuring great strength, well-
balanced elasticity, evenness of point, and smoothness of execution. One
pros? in twelve contain* a Scientific Gold Pen.
Stimpson's Ink-Retaining Holder, per doz. i 50
A simple apparatus, whic.* does not get out of order, withholds at a
single dip as much ink as the pen would otherwise realize from a dozen
trips to the inkstand, which it supplies with moderate and easy flow.
Stimpson's Gold Pen, $3 oo ; with Ink Retainer 4 50
Stimpson's Penman's Card, $o 25
One dozen steel Pens (assorted points) and Patent Ink-retaining Pe
The ^Vaffonal Series of Standard School-Hooks.
Monteith's Youth's History.
A History of the United States for beginners. It is arranged nnon the cat
plan, with Illustrative maps and engravings, review que-tion- .
(that their study may be optional with th.- younger rl:- of 1,-arm-r-K ami n
Biographical Sketches of aU persons who have been prominently identifier
history of our country.
Willard's United States, School and Univ.-rsitv Editions.
The plan of this standard work is chronologically exhibited in front of B
p:iL r <' ; the Maps and Sketches are fou: -taiits to the memory, :i:
usually so difficult to remember, are so systematically arranged as in a great degree
to obviate the difficulty. Candor, impartiality, aiid accuracy, are the distil;
features of the narrative portion.
Willard's Universal History.
The moot valuable features of the "United States" are reproduced In thi- T I
peculiarities of the work are its great - and the prominence gi\
chronological order of events. The margin marks each
distinctness, so that the impil retains not only the - time, and i
the order of h-storv firmly and usefully in his' mind, Mrs. WillanlV book-
stand? revised, and at all times writte'n up to embrace important h:-
of recent date.
Lancaster's English History,
By the Master of the Stoughton Grammar School, Boston. The most practical r'
the "brief books." Though short, it is not n bare and uniir
contains enough of explanation and detail to make intelligible the caw an-'
events. Their relations to the history and development of the Ann :
made specially prominent.
Willis' Historical Reader,
Being Collier's Great Events of History adapted to American pchooK This rare
epitome Of genera] history, remarkable for its charming style and jud:<
of events on which : - of nations have turned, lias been ski!
lated by Prof. Willis, with as few changes as would brin-j the I States
proper' position in the historical perspective. As reader or text-book it baa few
equals and no superiors.
Berard's History of England,
By an authoress W( >11 known for the success of her History of the Unite*:
The social life of the English people is felicitously interwoven, as iii fact, with the
civil and military transactions of the realm.
Ricord's History of Rome
Possesses the charm of an attractive romance. The Fables with which this history
abounds are introduced in such a way as not to deceive the inexperienced, while
adding materially to the value of the work as a reliable index to tne character aud
institutions, as well as the history of the Roman people.
Hanna's Bible History.
The only compendium of Bible narrative which affords a connected and chrono-
logical view of the important events there recorded, divested of all superfluous detail.
Summary of History; American, French and English.
A well-proportioned outline of leading events, condensing tne tnbetance of the
more extensive text-book in common use into a series of statement -
urd may be committed to memory, and yet so comprehensive that it ]
an accurate though general view of the whole continuous life of nations.
Marsh's Ecclesiastical History.
Affording the History of the rhnrch in all ages, with n< pagan worH
during Biblical periods, and the character, rise, an-i progress of all R<
as the various sects of the worshipers of Chr
though strictly catholic. A separate volume contains carefully prepa:
The National Series of Standard School- Zlooks.
BARNES' ONE-TERM HISTORY.
A Brief History of the United States,
This is probably the MOST ORIGINAL FCHOOL-BOOK published for many years
in any department. A few of its claims are the following:
1. Brevity- The text is complete for Grammar School or intermediate
classes, in 290 12mo pages, large type. It may readily be completed, if desired in
cue term of study.
2. Comprehensiveness. Though so brief, this book contains the pith of all
me wearying contents of the larger manuals, and a great deal more than the mem-
ory usually retains from the latter.
3. Interest has been a prime consideration. Small books have heretofore
been bare, full of dry statistics, unattractive. This one is charmingly written,
replete with anecdote, and brilliant with illustration.
4. Proportion Of Events. It is remarkable for the discrimination with
which the different portions of our history are presented according to their im-
portance. Thus the older works being already large books when the civil war
took place, give it less cpace than that accorded to the Revolution.
5. Arrangement. In six epochs, entitled respectively. Discovery ami Settle-
ment, the Colonies, the Revolution, Growth of States, the Civil War, and Current
6. Catch Words. Each paragraph is preceded by its leading thought in
prominent type, standing in the student's mind for the whole paragraph.
7. Key NotSS. Analogous with this is the idea of grouping battles, etc.
about some central event, which relieves the sameness so common in s-nth de-
scriptions, and renders each distinct by some striking peculiarity of its own.
8. Foot Notes. These are crowded with interesting matter that is not
strictly a part of history proper. They may be learned or not, at pleasure. They
are certain in any event to be read.
9. Biographies of all the leading characters are given in full in foot-notes.
10. MaTJS. Elegant and distinct Maps from engravings on copper-plate, and
beantifully'colored, precede each epoch, and contain all the places named.
11. Questions are at the back of the book, to compel a more independent use
of the text. Both text and questions are so worded that the pupil must give in<
telligent answers IN HIS own WORDS. "Yes" and "No" will not do.
12. Historical Recreations, These are additional questions to feet the stu-
dent's knowledge, in review, as: "What trees are celebrated in our hteior,- :"
" When did a fog save our army ? " " What Presidents died in office '; '' " W lien
was the Mississippi our western boundary ? '' " Who said, ' I would rather be
right than President ? ' " etc.
13. The Illustrations, about seventy in number, are the work of onr best
artists and engravers, produced at great expense. They are vivid and interest-
ing, and mostly upon subjects never before illustrated in a school-book.
14. Dates. Only the leading dates are given in the text, and these are so
associated as to assist the memory, but at the head of each page is the date of the
event first mentioned, and at the close of each epoch a summary of events and dates.
15. The Philosophy Of History is studiously exhibited the causes and
effects of events being distinctly traced and their interconnection shown.
16. Impartiality. All sectional, partisan, or denominational views are
tvoided. Facts are stated after a careful comparison of all authorities without
the least prejudice or favor.
17. IndeS. A verbal mdex at the close of the book perfects it as a work of
It will be observed that the above are all particulars in which School Histories
have been signally defective, or altogether wanting. Many other claims to faro;
>t shares in common with its prcdecesf ors.
The National Series of Standard School-Hook*.
ARNES 1 ONE-TERM HISTORY Continued.
From PROF. Wn. F. ALLEN, State Unir. of Witronttn.
I think the author of the new Brief History of the United State- " ha* been very
successful in combining brevity with sufficient fullness and interest. l"ai'ii-iilariy,
he has avoided the excessive number of names and dates that most histop-
tain. Two features that I like tery much are the anecdotes nt the foot of the page
and the " Historical Recreations " in the Appendix. The latter, I think, Is quite a
new feature, and the other is very well executed.
From 8. O. WRIGHT, Assist. -Supt. Pub. In ft., Kanta*.
It is with extreme pk-asure we submit our recommendation of the " Brief History
of the United States. It meets the needs of young and older children, eon
concision with perspicuity, and if "brevity is the soul of wit," this "Hri-
mains not only that well-chosen ingredient, but wisdom sufficient
lighten those students who are wearily longintr for a " new departure" from certain
old and uninteresting presentations of fossilized writers. \\e congratulate u pro-
gressive public upon a progressive book.
From HON. NEWTON BATEXAN, Siipt. Pub. In ft.,
Barnes' One-Term Historv of the United States i- nn exceedingly attractive aad
spirited little book. Its claim to several new and valuable featup -
founded. Under the form of six well-dunned Epoch*, the History of the United
States Is traced tersely, yet pithily, from the earliest times to the present day. A
good map precedes each epoch, whereby the historv and geographer of the period
may be studied together, a* tfify aliray* should be. The syllabus of each paragraph
is made to stand in such hold relief, by the use of large, heavy type, as to De ol
much rnrifmonii- value to the >tudciit. The book is written in "a sprightly and
piquant style, the intercut never llagging from beginning to end a rare and difficult
achievement in works of this kind.
From the "Chicago Schoolmaster" (Editorial).
\ thoronsh examination of Barnes 1 Brief History of the United States bring* the
examiner to the conclusion that it i a superior book in almost every respect. 1 ho
book is neat in form, and of good material. The type is clear. lar<_ r e. and <
Th. 1 f. icts and dates are correct. Ths arrangement of topirs is ju-t the thine needed
in a history text-book. By this arrangement the pupil can see at once w!
expected to do. The topics are well selected, embracing the leading ideas or p>in-
cipal events of American history. . . . The book as a whole is much superior
to any I have examined. So much do I think this, that I have ordered it for my
class, and shall use it in my school i^ijnwi) B. W.
A Brief History of France,
By the author of the " Brief United States," with all the attractive features of that
popular work (which see), and new ones of its own.
It is believed that the history of France has never before been presented in such
brief compass, and this is eilec'ted without sacriiicing one particle of interest. The
hook reads like a romance, and, while drawing the student by an irresistible fasci-
nation to his task, impresses the great outlines indelibly upon the memory.