Calculus and graphs simplified for a first brief course
186 Pages
English
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Calculus and graphs simplified for a first brief course

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Downloading requires you to have access to the YouScribe library
Learn all about the services we offer
186 Pages
English

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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,