Elementary Calculus(1st Edition)
Authors:
John Francis Meehan
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ISBN: 1440078467, 978-1440078460
Book publisher: Forgotten Books
Book Price $0 : PREFACEThis book is adapted to the use of students in the first yearin technical school or college, and is based upon t.he experIenceof the authors m teaching calculus to students ill the MassaohusettsInstitute of Technology immedIately upon entrance.It is accordingly assumed that the student has had collegeentrancealgebra, mcludmg graphs, and 'an elementary courseIn trigonometry, but that he has not studIed analytIC geometry.The first three chapters form an introductory course illwhICh the fundamental ideas of the calculus are introduced,including derivatIve, dIfferential, and the definite mtegral, butthe formal work is restrIcted to that involvmg only the polynomial.These chapters alone are well fitted for a short courseof about a term.The defhution of the derivative is obtained through theconcept of speed, using familiar illustrations, and the ideaof a derivative as measuring the rate of change of relate(lquantities is emphaSIZed. The slope of a cuTable of Contents CONTENTS; CHAPTER I RATES; SReTlON; 1 L1mits; 2 A verage speed; 3 True speed; 4 AlgeblalC method; 5 Accelel atwll; G Rate of change; CHAPTER II DIFFERENTIATION; 7 The dE'rivative; 8 Dlfrel'entlation of a polynomIal; 9 Sign of the derivative ; 10 Velocity and acceleratIOn (contmued); 11 Rate of change (contmued); 12 Gl'aphs; 13 Real roots of an equatIOn; 14 Slope of a stra1ght hne; 15 Slope of a curvE'; 16 The second derivatIve; 17 MaxIma and milllma; 18 Integration; HI Area; 20 Drfferentials; 21 AppIOXlmatwns ; General exercises ; CHAPTER III SUMMATION; 22 Area by summation ; 23 The definite integral; 24 The general BummatlOn problem; 25 Pressure; 26 Volume ; General exercises ;
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