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General Editors
B.A.P. ABBOTT,
D.Sc.F. S. MACAULAY, M.A.,
EXAMPLES IN DIFFERENTIAL AND
INTEGRAL CALCULUSMATHEMATICAL SERIES.LONGMANS' MODERN
P. and F. S.General Editors: B.A.,ABBOTT, MACAULAY,
D.Sc.M.A.,
IN THE ELEMENTSA COURSE GEOMETRYSCHOOL (INCLUDING
AND MENSURATION AND AN INTRODUC-OF TRIGONOMETRY
THE METHODS OF CO-ORDINATETION TO ByGEOMETRY).
sometime Foundation Scholar of St.W. M.A., John'sJ, DOBBS,
With With and without361 Diagrams.College, Cambridge.
Answers Answers sold
; separately.
HeadNUMERICAL TRIGONOMETRY. P. ABBOTT, B.A.,By
TheMaster of the School, Street,Secondary Polytechnic, Regent
W. WithLondon, Diagrams.
TABLES AND FORMULA. P.MATHEMATICAL ABBOTT,By
B.A.
THE TEACHING OF ALGEBRA TRIGONOMETRY).(INCLUDING
Professor of Education in theT. PERCY NUNN, D.Sc.,By M.A.,
London. WithofUniversity Diagrams.
IN ALGEBRAEXERCISES TRIGONOMETRY). By(INCLUDING
PERCYT. NUNN, D.Sc.M.A.,
inPart I. With and without also issued two sections.Answers,
Part II. With and Answers.
EXERCISES IN ARITHMETIC AND MENSURATION. By
and without Answers.P. B.A. With WithABBOTT, Diagrams.
Also issued in 2 Sections. Answers sold separately.
THE ARITHMETIC. MARGARETGROUNDWORK OF By
LondonB.A., Training College,PUNNETT, Vice-Principal, Day
With Coloured and otherW.C.Row, London,Southampton
Diagrams.
A Handbook Teachers.*** for
B.A.EXERCISES IN ARITHMETIC. MARGARET PUNNETT,By
Book Book and Book III.I., II.,
GEOMETRY. G. B. F.R.S.,MATHEWS, M.A.,PROJECTIVE By
Lecturer in Pure ofNorth Wales,Mathematics, University College
WithBangor. Diagrams.
SLIDE-RULE late ProfessorNOTES. COLONEL H, C, DUNLOP,By
of and C. S.Ordnance Woolwich, JACKSON,Gunnery, College,
WithM.A. Diagrams.
RULER AND HILDA P. HUDSON, M.A.,ByCpMPASSES.
Sc.D. With Diagrams.
GEOMETRYTHE ELEMENTS OF NON-EUCLIDEAN PLANE
AND Sc.D.TRIGONOMETRY. H. S. CARSLAW, (Camb.),By
in the ofD.Sc. Professor of Mathematics(Glasg.), University
Fellow of Emmanuel; Cambridge.Sydney formerly College,
With Diagrams.
INFINITESIMALCALCULUS. F. S. M.A. ProfessorCAREY, ,By
of Mathematics in the ofUniversity Liverpool.
Also issued in two Sections.
DIFFERENTIAL H. BATEMAN, Ph.D.,EQUATIONS. M.A.,By
Lecturer in Applied Mathematics, University,Johns Hopkins
andFellow ofBaltimore, formerly College, Cambridge,Trinity
Reader in of Manchester.Mathematical in the UniversityPhysics
EXAMPLES IN DIFFERENTIAL AND INTEGRAL CAL-
CULUS. C. S. M.A.By JACKSON,
GREEN &LONGMANS, CO.,
NEW AND MADRAS.LONDON, YORK, CALCUTTA,BOMBAY,/I&o&em /Ifcatbemattcal SeriesXongmans'
INEXAMPLES
DIFFERENTIAL AND
INTEGRAL CALCULUS
WITH ANSWERS
BY THE LATE
C. S. M.A.JACKSON,
FORMERLY SCHOLAR OF TRINITY CAMBRIDGECOLLEGE,
FOR MANY YEARS INSTRUCTOR IN MATHEMATICS AT THE
ROYAL MILITARY WOOLWICHACADEMY,
WITH DIAGRAMS
GREEN AND CO.LONGMANS,
PATERNOSTER LONDON39 ROW,
FOURTH AVENUE & oTH NEW YORKSTREET,3
AND MADRASBOMBAY, CALCUTTA,
1921IPREFACE
which was madeTHIS collection of in the Calculus, byExamples
inthe late Mr. C. S. should have beenJackson, published 1917.
and death in October causedMr. suddenJackson's regrettable 1916
book isto be till after the War. Thethe publication delayed
other handsto be thethrough press byhampered by having put
than the author's.
asA those which can be classedof problemsgreat many examples
with hisMr. himself in connectionwere constructed by Jackson
and theat thework Woolwich,Military Academy, manyRoyal
arehe took of themexaminations in which part. Manypublic
andof the Calculus toneat practical problems,applicationsvery
useful to teachersis that these willit prove particularlyhoped
number of which are notin their awho work, examplesrequire,
Calculusbooks on themere manipulations. ManyAlgebraical
andas an extension ofthetreat Algebra Analyticalsubject chiefly
a useful toThis collection should be supplementGeometry.
books.such
ensure inhas been taken toA deal of trouble accuracygreat
me much in thisMr. A. M. hasthe Answers. helped veryGrundy
have been workedand most of the independentlymatter, examples
us both.by
W. M. ROBERTS.
ROYAL MILITARY ACADEMY,
WOOLWICH, February, 1921.