Calculus and graphs simplified for a first brief course
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UBRf*WRSITY OPCALCULUS AND GRAPHS0*COMPANYTHE MACMILLANBOSTON CHICAGO DALLASNEW YORKSAN FRANCISCOATLANTALIMITEDMACMILLAN & CO.,CALCUTTALONDON BOMBAYMELBOURNECO. OF LTD.THE MACMILLAN CANADA,TORONTOCALCULUSAND GRAPHSSIMPLIFIED FOR A FIRST BRIEF COURSEBYL. M. PASSANOASSOCIATE PROFESSOR OF MATHEMATICSIN THE MASSACHUSETTS INSTITUTE OF TECHNOLOGY""AUTHOR OF PLANE AND SPHERICAL TRIGONOMETRYfcttt IJnrkTHE MACMILLAN COiWANY1921All reservedrightsCOPYRIGHT, 1921BY THE MACMILLAN COMPANYSet and Published 1921.up electrotyped. December,Printed in the United States of AmericaPREFACEThe of the natural sciences is soimportance generallyas to need no statement. Nor is itrecognized emphaticto out the of the sciencesnecessary point dependence uponthe and of mathematics. Thisstudy knowledge dependenceis closer and more direct in the case of calculus than in thecase of other branch ofany mathematics, unless, perhaps,we and It isexcept elementary algebra trigonometry.for the of the elements of theprimarily purpose makingcalculus and available to students ofdirectly familiarlyand other sciences that the bookphysics, chemistry presentis written. At the same time it is that the book willhopedbe found well to the use of those who wish an eleadaptedof calculus for its cultural value.mentary knowledgeNo of is assumed on the Analytic Geometryof students the text. On the other handpart using presentthe idea of coordinate axes and their use in ...
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UBR
f*WRSITY OP CALCULUS AND GRAPHS 0*
COMPANYTHE MACMILLAN
BOSTON CHICAGO DALLASNEW YORK
SAN FRANCISCOATLANTA
LIMITEDMACMILLAN & CO.,
CALCUTTALONDON BOMBAY
MELBOURNE
CO. OF LTD.THE MACMILLAN CANADA,
TORONTO CALCULUSAND GRAPHS
SIMPLIFIED FOR A FIRST BRIEF COURSE
BY
L. M. PASSANO
ASSOCIATE PROFESSOR OF MATHEMATICS
IN THE MASSACHUSETTS INSTITUTE OF TECHNOLOGY
"
"AUTHOR OF PLANE AND SPHERICAL TRIGONOMETRY
fcttt IJnrk
THE MACMILLAN COiWANY
1921
All reservedrights COPYRIGHT, 1921
BY THE MACMILLAN COMPANY
Set and Published 1921.up electrotyped. December,
Printed in the United States of America PREFACE
The of the natural sciences is soimportance generally
as to need no statement. Nor is itrecognized emphatic
to out the of the sciencesnecessary point dependence upon
the and of mathematics. Thisstudy knowledge dependence
is closer and more direct in the case of calculus than in the
case of other branch ofany mathematics, unless, perhaps,
we and It isexcept elementary algebra trigonometry.
for the of the elements of theprimarily purpose making
calculus and available to students ofdirectly familiarly
and other sciences that the bookphysics, chemistry present
is written. At the same time it is that the book willhoped
be found well to the use of those who wish an eleadapted
of calculus for its cultural value.mentary knowledge
No of is assumed on the Analytic Geometry
of students the text. On the other handpart using present
the idea of coordinate axes and their use in the graphical
and of and transcenrepresentation study simple algebraic
dental functions is introduced in the first and usedchapter
the work. The student becomescontinually throughout
familiar with the fundamental ideas of analytic geometry,
learns to use both and methods in thegeometricalgebraic
of and becomes with the formsstudy functions, acquainted
and of curves without definition of thoseequations simple
curves or detailed of their The studentstudy properties.
thus all the of necesanalytic geometryacquires knowledge
to an of the elements of andsary understanding calculus;
on his a ofassuming part knowledge elementary algebra
and the calculus is made available for a firsttrigonometry,
course.college
Such a the writer is not more usefulcourse, believes, only vi PREFACE
and than a first course inbut also more interesting simple
It is not that theanalytic geometry. intended, however,
work should the ofpresent replace study analytic geometry,
of which should not be but thatthe importance underrated,
of the latter should be deferredthe study subject simply
until the more theimmediately important subject, calculus,
has been acquired.
The author has striven to the in as apresent subject simple
as The aim has been to make the studentway possible.
understand the not to write a book that wouldsubject;
meticulous mathematical In so thedoingsatisfy pedantry.
detail to simauthor have in sacrificedplaces logicalmay
ofof but henever, hopes, accuracyplicity presentation,
a toostatement. In the of the writeropinion rigidly logical
Greek letters iswith its ofparaphernalia subscriptedproof
first course in for theout of in an elementary calculus,place
never understands such areason that the student proof.
effort he does its it is at theOr if arduous grasp meaningby
time and labor of other that are morein thingsexpense
and far more useful.important
author wishes to thank a number of his forThe colleagues
and in the of the work.criticism suggestions writing present
He is indebted to Professor C. L. E. Moore andespecially
Professor D. P. Bartlett for their criticism of the manuscript
and for whichimprovements they suggested.
L. M. PASSANO.
Massachusetts Institute of Technology
Mass.Cambridge,
