牛顿-莱布尼茨公式

LeibnizplayedamajorroleintheEuropeanpoliticsanddiplomacyofhisday.Heoccupiesanequallylargeplaceinboththehistoryofphilosophyandthehistoryofmathematics.Heinventedcalculusindepende...

实际上发明这个notation的Leibniz是个德国人，而德语的difference是unterschied，根本不以d开头，再加上当时学术界流通的语言也是拉丁语而不是英语，所以也就只能合理推测d是differentia的d而不是difference的d了。

Meanwhile,Leibnizbeganpublishingafullaccountofhismethodsin1684.Moreover,Leibniz'snotationand"differentialMethod"wereuniversallyadoptedontheContinent,andafter1820orso,intheBritishEmpire..

HeintegratedLeibniz'sdifferentialcalculuswithNewton'smethodoffluxions,anddevelopedtoolsthatmadeiteasiertoapplycalculustophysicalproblems.Hemadegreatstridesinimprovingthenumericalapproximation.

那是dy故dx=Δx但dy≈Δyedb/attachment/tc/curriculum-development/kla/ma/curr/unit%205_4956.pdfen.***/wiki/Leibniz%27s_notationen.***/wiki/Notation_for_differentiation知足常乐(...

实际上发明这个notation的Leibniz是个德国人，而德语的difference是unterschied，根本不以d开头，再加上当时学术界流通的语言也是拉丁语而不是英语，所以也就只能合理推测d是differentia的d而不是difference的d了。

HeintegratedLeibniz'sdifferentialcalculuswithNewton'smethodoffluxions,anddevelopedtoolsthatmadeiteasiertoapplycalculustophysicalproblems.Hemadegreatstridesinimprovingthenumericalapproximation.

leastelement:最小元;Lebesguemeasure:勒贝格测度;Leibniz'slaw:莱布尼茨律;Liealgebra:李代数;Liegroup:李群;limit:极限;limitpoint:极限点;line:线;linesegment:线段;linear:线性;linearalgebra:线性代数;...

1.2NewtonandLeibniz1.3Formalizingintegrals1.4Notation2Terminologyandnotation3Introduction4Formaldefinitions4.1Riemannintegral4.2Lebesgueintegral4.3Otherintegrals5Properties5.1Linearity5.2...