The place of the elementary calculus in the senior high-school mathematics : and suggestions for a modern presentation of the subject . 28 Elementary Calculus in Senior High-School Mathematics. Fig. 7 method somewhat modified in introducing the subject of integra-tion as a process of summation in the senior high-school cal-culus. Marquis de VHospital. This mathematician wrote the first text-book on the differential calculus. The book was published in LHospital considers a diff-erence as an infinitely small por-tion of a variable quantity thatincreases or decreases contin-ually. He give
The place of the elementary calculus in the senior high-school mathematics : and suggestions for a modern presentation of the subject . 28 Elementary Calculus in Senior High-School Mathematics. Fig. 7 method somewhat modified in introducing the subject of integra-tion as a process of summation in the senior high-school cal-culus. Marquis de VHospital. This mathematician wrote the first text-book on the differential calculus. The book was published in LHospital considers a diff-erence as an infinitely small por-tion of a variable quantity thatincreases or decreases contin-ually. He gives a number ofillustrations of differences. Ppwill be the difference of AP; Rmthat of PM, Sm that of AM,Mm that of the arc AM, thetriangle MAm that of the seg-ment AM, the little space MPpmthat of the mixtilinear triangleAP, PM, and the arc AM. Ifthe variable AP is representedby x, then dx expresses the value of Pp, and so on. This simple method, somewhat modified, is used in the explana-tion of the increment of a variable in the senior high-schoolcalculus. Charles Hayes. Charles Hayes published the first textbook onthe calculus in English in A comparison of different methods use
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