New-York tribune., 1868-04-18
NEW PUBLICATIONS.
BOOKS OF THE WEEK.

contaius tho National Bank ACT now iu force aud
the Annual Report Of the Condition OF the National
Banks " for 1867. r7
The Fate and Fortunes of Hugh ONeiH, Earl
Of Tyrone and Rory ODowd. Fort Of TtrcOnnei by the
Rev. C. p. MEEHAS Is repubshed from the English edi
ton by ID. j. Sadlier Co. II forms curious antigua
Ian monograph relating the history OF the celebrated
chiefs OF two of the most eminent Celtic tribes and
throwing fresh light eventful period the annals
of Ireland
A Manual of United States Surveying, by J. H.
HAYES a. B. Lppincott Coz. describes the System OF
rectangular surveying employed in subdvdingtne public
lands of the United States with instructions for sub
dividing sections and restoring lost corners Of the puoo
lands IL has been prepared with view 70 supplying
general want that indicated in the letters constantly
received at the Land Office requesting information Id re-
gard the system Of Government surveying The autnor
for several years has had special charge OF this depart
ment and has become familiar by long experience with
the principles and methods Of the system, OF which he
here presentA a complete practical exposition An ap-
pendix to the volume contains ampo information with
regard to purchasing settling lands under the various
and laws.
The Catholic Publication House have issued
the life of Saint Columbia, Apostle Of Caledonia trans
lated from the third voame OF the Count de Montalem
ber Monks OF the West" II exhibits the piou5 energy
and missionary zeal of the first great apostle Of Great
Britain in an impressive light selecting the most re-
markabe personal incidents in the general tissue OF his
life the crowd OF legendary details OF an ascee or
supernatural character 1t is an attractive picture as
described ny the sympathetic pen of his eloquent
bOgrapherthat OF the tall old with his fine and
regular features his sweet and powerful voice. the Irish
tonsure high on his shaven head and his long looks
fallen behind clothed with ms mOnastic cow aud seated
at the prov of his corace. steering through the misty
archipelago and narrow lakes OF the North Of Scotland
and bearing from isle to isle and from shore to shore
light justice and trath the life OF tho conscience and Vt
the soul"
The second volume Of The History 0fhe Vary
D,ring me Rebellion by CHARLES B. BoTNrOE. p T..
completing valuable contribution to the record OF tho
WAR is published by d. Appleton ca. The aubcr has
presented suocnct and readable narrative Of the series
OF events which. under the conduct of our naval COM
mander5. exeTted important influence on thesuc
cess OF the Union In preparing the work. be
has relied upon documents in tue possession of the
Navy Department for the principal part OF his materials
while has been enriched by the communications OF the
chief officers OF the Navy His abOrs have been eKerted
in sphere that has been left comparatively moccuped
by the historians of the War; and bring before the reader
in detail variety OF enterprises and incidents which, TO
great degree have been lost sight Of In tho brany or
successful military operations. The work, though by no
means model OF narrative composition, is written IN
style of earnestness and dignity. and Is occasionally eo
Quent in the expression OF patriotic sentiment
The Phiiosophy of Mathematics, by albert
TAYLOR BLgDsos LII u. q. b. LippincOtt & Coz is de-
voted 10 discussion OF the elements OF geometry aud
tho infntesma method In the opinion OF the author
late professor OF mathematics in the University OF Vr
gina the usual elementary works on tho diferonta cal
euus imperfect in their exposition OF the frat prn
opes OF the science to daron and bewier The mind
of the student instead OF presenting the subject In the
clear light Of analytic demonstration lie aims at eKhib
ting the elements OF the higher calculus clearly that
cha no
logical sequence, forming integral and harmonious
body OF mathematical science. In the execution OF this
PURPOSE he traces the progress Of .he nnitesmal ana
sis from It's first clements in the Greek geometry to its
fruitful developments in modern investigation showing
tie difficulties which it has met with, aud the manner In
which it has surmOunted them The successive methods
which have been adopted from Euclid and Arcimedes to
Cavalier and Pascal and from the last named analysis to
Newton ana Lelbnitz fully discussed. tracing The
science 70 tho simple postulateS ia remote times from
which have proceeded the magnificent results of
modern inquiry The work is written in vigorous. and
occasionally in vehement poleInical tone appealing 70
the love OF controversy well as to the taste for scen
thc discussion. Newton and Leibnitz do not escape
stringent criticism at the hands of the learned Professor
while the more recent writer's the subject including
the familiar names of Davies Hsckey DOdd Ray, Per
kins Whewen are IneTcilessly dissocted by his bold
analysis. Even Of Comte whom Mr.. John Stuart Mil
regards as having cTeated the philosophy of the higher
the author remarks that lac discusses the
"transeendental analysis" with his usual verbosty,
without adding single notion TO those of his predeees
sors except few false OF his own Doubtless the
hook is adapted to make stir in the scientific world but
the lovers Of truth need not apprehend any disastrous
consequences from the agitation
The Mastery Series, by THOMAS PRENDER-
CAST reprinted from the English edition by d. Appleton
& Co. is a new system OF learning languages which Is
claimed by the author to be equally applicable TO Latin
aud Greek and 20 French German Italian, and other
modern tongues The gst Of the method consists In the
frequent repetition OF tho most difficult idomatic
phrases at short intervals until they are efectuay I'M
pressed Oh the memory. No Of either grammar or
dictionary is allowed until the student has acquired
perfect familiarity with the phrases, when 1t VIII be
found according to Mr. Prendegast that he has already
mastered the essential principles OF the language
almost without O conscious effort The beginner Ia not
allowed to compose any sentences for himself but Is pre-
septed with copous variety of combinations, in which
the pecuiar difficulties OF foreign construction are en-
boded and which he is required TO commit TO memory,
without asking for their reason or law These sentences
i'm their turn become models for other sentences, which
are successfully brought 10 his notice, rs he IN
the study. literal version Of tho different com.
binations is kept constantly before him, and the
whole exercise is reduced to retranslatng them
fron, memory with the words of each lesson
interyoyen among them. The method, IL Is contended
by tho author founded nature and the pro
cess by which every child learns his native tongue But
there is this obvious difference at the outset that the
child naturally practices the most simple phrases and
pospones the acquisition OF complicated ana dnhcuit
idom 20 a more mature age. In this system, on the
contrary not only the familiar phrases which express
the hourly recurring wants Of every day life are not
made use Of but the most formidable pecuarites OF
the foreign idiom are made prominent at first and
constantly rehearsed until they are imprinted on the
memory by dint Of mechanical repetition. The OBJ
vious principle OF nature by which progress is made
from the simple and easy to the complicated and din
AnH nf IfIlnO Ihn