The Sun.
London, England, 1834-10-18 00:00:00

ON Tirt, PROFESSOR YOUNG'S WORKSS
,eIIATHENIATIC' NAVIGATION, MENSURA-
vsblieitti;,N, GEOMETRY,',' TRIGONOMETRY, &c.
AYard, Lone S°UTER, School Library, 73, St. Paul's Church-
N. ; and sold b most respectable Booksellers.
4 ,YTICAL COURSE of MATHEMA-
IIY J, „, TICS,
titete °UNG, Professor of 'Mathematics in Belfast College.
TreNTS GEOMETRY : containing a New and Univer-
ieweettise on the Doctrine of Proportion ; together with Notes,
gut cape pointed out and corrected several important Errors
!keen. c hitherto remained unnoticed in the Writings of Geo-
-Bvo ea.
Cee ee• 1..0e following brief notices have been selected from various
1%1;7 i'too numerous for insertion here, all speaking of Mr.
e.13,14,4.11r, ye°erkesg,isn
Observations
of apptrhoebtahtieoonr
of parallel lines, the
!Is torreesheias bestowedvsonithseolcoctrine of I"roportion, as well as
e__l4g the deuens of many errors of preceding geometers, andsupply-
ets, together with his minute attention to accuracy
v,pa' 'nay be justly considered as rendering his performance
,` Is ee"Peeially to the learner " Philosophical Magazine.
ZtqliTellie,aitY, Euclid has n.o exce_pt, perhaps,. in tha.t
IN. wllra which treats of Geometrical Proportion. This is
s, e,
subtle and intricate The doctrine of proportion,
re
n.. with geometry 'necessarily be so. Hence Le-
s'i4g allilzeladed the Consideration of it from his Elements,
• of the subject to be acquired from numerical
never defect which Mr Young has ably supplied.
itlch g.;:e have seen a work so fr.ee from pretension, and of
trektc.el'sltiratateeerit. VaricTs. fallacies latent. in the reasonings of
mathematicians, both of ancient and modern date,
ll re'gret tout and discussed in a tone of calm moderation, which,,
terke: et,esa:rn,einstanorty always employed in the scientific world.
,i 4 '•agazine
J. rt •
Yc'ung, who has distinguished himself as the. author
treat'se on Algebra, has just published a
tkihitsh Nottese same, beneficial 'description,' Elements of Geometry,'
Teti The great advantage which students will derive
.from.
utre de e that the converse of every geometrical proposition
litesati monstration is possible) is given. This has never been
eletcl (es'allY done before. Several other improvements are intro-
arrPeeially With regard to the doctrine of Proportion), and
4N t•
l.R'N'l,.f f°rtner geometers corrected."—Sunday Times.
itNTARY TREATISE on ALGEBRA ; Theoret!cal
eale t pe.',"al; with At emits to simplify some of the more Eta-
e°i'''ra-Ie.ISTQbf Science, particularly the Demonstration of the
e°rena, in its most general form Solution of
Nt of the higher Orders ; the Summation of Infinite be-
/i new Edition greatly improved, in one vol., duode-
,34 „ rise 53. Gd. 9
ben: and ingenious general method of solving Equa-
e le recently discovered by Messrs. H. Atkinson, Hol-
,:llviee errndepy of each other. For the bestprac-
"'Nary i this new method ahel its applications, consult the Ele-
r etrratise en Algebra by Mr. J. R. You, awork. which
7sll‘;aeZal r.ecommen'cl;tion..**--e:-Dr. Gregory's -Edition of
tee, wee
'um•aties, p. 261.
mmation of infinite series the author gives a new anda
AA e Method, which is very easy and extensive in its applic
- /et cestle 'Magazine, November, 1825.
meshes
on GENERAL THEORY and SOLUTION
,Teattre-')RAICAL EQUATIONS, intended as a Supple-
11,eeh•aie to the Treatise on Algebra, 12m0., 7s.
tVitaftieli tsis VOlume the recently discovered method of, solving
t Taost .'llatioris by Continuous Approximation is re.,uced tso_
etPtilee sintplicity of fo of which that method appears su
:ItT
aftv,liVS° PLANE and SPHERICAL TRIGONO-
Id with its Application to the Principles of Navigation
I.IRo ettleal Astronomy with the necessary Logarithmic and
'..slot4Cetrical Tables; By J. R. YOUNG. Duodecimo.
of s e 'el', with the Mathematical Tables, 125..
y„ These reflections have originated in a
.comparisonome
raise ivo Cung's excellent treatise on Trigonometry, with s
lelse
year that have Iteee4iese
eee made their appearance within the last ten or
t at preeZda comparesonhotall these with the standard
v nacre than once taken occa-
Ztlle eat
opinion We
wee: lede
to form of this gentleman's
Ilitlrsijcs'offe37,l4:letrilauthoeumwatics ; and, though in some respects thetat
he work itself affords less scope for the exercise o
laes?:brciatem.teony:wiiisthusjeteyo
IN.t/ri;eierToaaunnnygppapossesses
ifeaorl eaxepcousrianegytwhhe
ipeahrediosi
ef seifits'elYing
esatisfactory solrtutsions for the elementary cid&
we see traces of that same
Nee -ed his 1r I°'
- al e of this work, we
. ormer writings. he great v u
e , its unity of purpose, the continuity of its. %len:
tee ) close attention paid to the student's powerof
the
`"r' whole series of processes which are. involved
le.tlle°teeethee lroblem under consideration. Though a suffi
se3stare b eXaMpleS is always a desideratum in every
tie is grft,, "IE, the clear development of the whole pro-
ne important ; but in Trigonometry examples
fJo eeite, eee_• ormed, and the results
oso easily verified, that
r this kind of amplifica-
etefok, hang
oitshelrestranneece
in
hssoirelementary mathematics. We
4:102441'41k Ale. Young has donejudiciously in rather
alvittlliganet
ti rig grecraPletely-vrorked questions under each
_he ,an
mer-
e', forte eat number of unwrought questions, merely as
toi4elstudent in performing operations for which has me model,
Tiber ,an intell' '1)1 rule Having done this, we think the
Kttker exercises gig' e.
tee
rnostenivneanptinofthheisprreeassenrts.work will furnish ample
~kfwwe
ecieeft;agn herrasc, added a set of logarithmic and other tables :
e„e•ltztrd it proper to state that we have lately dipped intothem,
rliTtarisoZiatewith others of established reputation on our desk for
eet two hundred times, and in no one of these cases
at o! teinsPuen, therefOre, that the account' we have been able to
104;atioe , Pretending work, will have the effect of. calling the
Rite' as a I,s;,°,_nger students (and still more of professional tutors)
ite'eetshi_e_ praTec'eLeetn.eiliently calculated to ensure an early intimacy_
that ug the le: well as the principles o f trigonometry, and of
Sr4reetPtPee tee's: of geometers generally_ to the curious results
kits f,"e exteeeeenPPlemental chapters, and inducing them to at-
Pltil
s almost unpof a branch of. science, which apparently ad-
e°,4hieal •,mited cultivation."—London and Edinburgh
The des. agazine,November, 1833.
call thel/ of this' k' as Mr. Young observes, is to
t,
present I pl.l"er 4 spherical
form,rigonometry analyti-
tllitreelu to th-atsetheaonrY in- a fitted for elementary
rer,4ataTyl.e.* * Were nothing required in trigonometry but an
te'eeelek nO w 1 ed of the 'properties of plane and. spherical
-b7„ir!rl we should-e say, that- the beautiful. geometrical
attheSimson would be sufficient to engage attention.
re
to be generally or extensively useful, must
.be car.-
frert and recourse be had. to analytical methods of investi-
lel'at f•cnn which, in most cas,..s, results are obtained more con-
or turning into actual numbers.
.In these respects Mr.
41Iel numerous
to have left nothing to lie wished for ; having fur-
oeitseierous analytical formulm, and numerous examples of
ti h'actical results. The great recommendation
_of toh_etrw_gorok.
',„,irq a sure and 144'n guide in almost every species
01
ta.
'eeNIPI-"' calculation. * Mr. Young has now nearly c s
l'Teturse of math ail, which is certainly the best we po -
Nit" Tyne Mercifey, August 27, 1833.
qaex,IIATICAL ; comprehending the Logarithms
kit :111111bers from r•to 36,000; also the Natural and Logeariai -
kid 'lnes and Tangent; e computed to-seven places of Decimals,
Ilkteleranged on an unproved plan ; with several other Tab. ,
ehrtre in Navigation anieNautical Astronomy, and in other e-
tiZt' of practical Ma'hematics. Secona edition, cloth, 6s. 6d.
eittrZI,ENTARY TREATISE on the COMPUTATION
"ao, It,'"IRITIIMS. 'lntended as a Supplement to the various
4stu- `na Algebra, 12mo. New edition, with important Addi-
ls br the press.
Mlkr-Gr egorY's edition of Hutton's Mathematics, vol. i. p.
'•,ththe''' Particular reference is made to this little work.
meOs ding of ANALYTICAL. GEOMETRY; cempre-
e._.`acor,` the
Doctrine of the Conic Sections, and the general
„fleT, Curve and Surfaces of the second Order, with a
tae. " Local Prsobl n Lines and Surfaces. Intended for
;:stfllll,--ellsf Mathematical St dents in Sehools and Universities :
lilaillslsWeohrekl like the present be introduced generally into our
lorit-e' colleges the t will not long boast of its immense
°ler the try of Newton in every branch of modern
to teWeselceienee.—Tehor Atlas, July 25, 1830."
yoeilc higher
bto notice these excellent productions, as clear guides_
tlt g ; and ranches of science. They do infinite credit to Mr.
no
ete heee. works of the same class can be more fit to be put
Olpee,e,'-' of students."—Literary Gazette, May 28, 1831. '
'll,see'te4B of the DIFFERENTIAL CALCULUS ; compre-
':te,"4l2e,„General Theory of Curve Surfaces, and of Curves
~,,`,k;urvature ; in cloth, Bs.
tee
t, hit
4 'tic' ...
divided ' to three sections, and each section. is
',llte,_ I the ehapters of a moderate. length. The first section
Pee tee infferentia.tion of ftenctioie an general • the second
ivt,ctant IPPlieation of the differential calculus to 'the theory of
7I -e';,and the third unfolds the general theory of curve
"hte-elt4l,l°' Mary of double curvature. In the first the author
4c -4 :ll' '"e most valuable theorems and formulae of the cele-
ttre444, h lisYsts Euler,a Lagrange, Demoivre, and Cotes. In the
acon•eCt explanation of what the French have
third contains the most beautiful
keist's%°l Euler, carves.
and Dupin, relative to the curvature of
'e`etAt' ig,eence Mange,
with a chapter on twisted surfaces;
'",e'e,kkl:-;"rtos Cot confined to foreign writers. The whole forms. a
consistent, and comprhensive view. of the differential
Irra„ltllldites various applications, than. any hitherto published.
account of
the Work does not merit attention merely
the 441'4, and the judicious selections which it coonnataie ns from
more Nor of others. ' It has also claims to originality. Whatmuch
:,sirerflas adored. from other writers he has rendered
lies PYi~ mpro The '1
pte on Maxima and Minima presents con-
ier variousarts of the investigation. In
peer ,Wet atases in which Taylor's theorem fails, Mr. Young
441 ea• it does not fail where the coefficients become him-
t'se34'serted by Lacroix and his followers, but that. these.
fatle • 14 are always indicated by the coefficients becoming in-
kvees'ailltio°4e of the problems on this subject he has detected a
; 41,1,41thee.4 bY La-grange, which
Genhasbetranscribedby Gamier and
•rie -me c, merely on the faith of great name. *
th/ett,le Elements of the Differential Calculus, comprehee:ide:
Prie*td keel !I most valuable, in the large works of the most
41'4 )esa, are contained in a duodecimo_ volume,
abeautifully
It ppeared to
ft.y respectfineper and neatly bound 1n 1 h.
eewell fitted for a lass-book._! and can scarcely fail
of e' here eenerall
the.; is no parade
Y adopted.—Presbyterian R.eview, Sept. 1831.
!Igitei'e no affected changes of method , s
Pla • • le ; and yet there is much
tzl, /eat, nor of novelty of principle
tha matt °C
much ' al reasoning, ere . . on . and, what is of more
ee,t9 is a „l questions about originality
tiede is
rlo, election.
tida -; that ri::,l3lcuity, a unity of method,
prevailing in all its
ire an elementary treatise,
Pletd to lesitciers. it more than any book we have seen reculiarly
first however as an eleg
ant and perspicuous development
focithP? PrThe
qore reiple
ro s of the Calculus merely, w
that we have avehadmeiraelst
that much t e'mend Mr. Young's little work •
teeee 100 e 4? eornmnd in it of a more profound character much
ss,,'he T
l°r in men in larger works, and indeed in all English
'irttePtlar-4°"''.1.81,18 of some other writers (diitinguishedvoonreks.toacia,d)
',e""esiY steps us.in In the preface, and in the body of the N
Ilidee'dh"llliii,!e,ll have hitherto been deemed unquestionable
131trsel, r• Young to be altogether fal aci.o .
aPtee'.ee, r„e, e. see them pointed out, why the) did not occur to
kirP diSnl "3 anY body else, till now ; and we look upon the
ute-q whierhapd in these detections to be highly characteristic
fun=
tautalee !sok% with laudable anxiety to the purity of the t 1
'l%ltN•pnelPi" of science."—Philosophical Magazine, Oct.. 1831. A
lelicatioes of the INTEGRAL CALCULUS ; with ets
° "netrY and to the Summation of Infinite Se
p-
tie
e, in cloth 9s
us ‘ohirne b , •
cereseee efore us forms the third of
CAL GEO-
kY. chess with the ELEMENTS OF ANALYTICAL
roali4aße, see 4e elegant text-books do not exist in English
Mathe-
seiee.a.l trust they will speedily be adopted in ourw...
of
Itieewe houe, 'ries- The existence a such auxiliaries will
; alvtica
it-
tee ee e;,` r an inducement to the cultivation o•
4 hith r' to the Iv works the trulik-
ere:, , ant of such elementary
~ ,
we
ail
*"4l4tited in this country on the subject is,

prehend, chiefly to be ascribed. Mr. Young has brought the
science within the reach of every intelligent student, and, in so do-
ing, has contributed to the advancement of Mathematical Learning
in Great Britain."—Presbyterian Review.
ELEMENTS of MECHANICS; comprehending the Theory
of Equilibrium and of Motion, and the first Principles of Physical
Astronomy ; together with a variety of Statical and Dynamical
Problems. Illustrated by numerous engravings ; 0 10 6
" Mr. Young is already favourably known to the public by his
writings ; and the Treatise on Mechan:‘,.s, which we now propose
briefly to notice, will add considerably to his reputation as the
author of elementary works of science.
" To read the works of Laplace, Ivory, Somerville, &c., a know-
ledge of the methods employed by these writers is previously re-
quired, and renders such preparatory works as those of Mr. Young
absolutely necessary."—Pres. Review, July, 1832.
AN INTRODUCTORY LECTURE, delivered at the open-
ing of the Mathematical Classes, in Belfast College, by Professor
Young, price 2s.