Titlebook: Cauchy’s Cours d’analyse; An Annotated Transla Robert E. Bradley,C. Edward Sandifer Book 20091st edition Springer-Verlag New York 2009 Calc

CAB

LASH

Angelika Wagner,Ursula Wiedermann-SchmidtImagine now that we separate the function F(.) into two factors where the first, instead of being linear, corresponds to several roots of the equation F(.) = 0. For example, take for the first factor the factor of second degree.

弄污

Jingoism

Determination of continuous functions of a single variable that satisfy certain conditions.,[98] When, instead of integer functions we imagine any functions, so that we leave the form entirely arbitrary, we can no longer successfully determine them given a certain number of particular values, however large that number might be, but we can sometimes do so in the case where we assume certain general properties of these functions.

斜坡

On convergent and divergent imaginary series. Summation of some convergent imaginary series. NotatiBe the sum of the first . terms of this series. Depending on whether or not .. converges towards a fixed limit∈dex{limit} for increasing values of ., we say that series (3) is . and that it has this limit as its sum, or else that it is . and it does not have a sum. The first case evidently occurs if the two sums.

嬉耍

On real or imaginary roots of algebraic equations for which the left-hand side is a rational and inwhere . represents the degree of this equation and .., .., .., …, .., an, are constant coefficients, real or imaginary. A root of this equation is any expression,real or imaginary, that when substituted in place of the unknown value ., makes the left-hand side equal to zero.

協(xié)奏曲

relieve

虛弱

Sources and Studies in the History of Mathematics and Physical Scienceshttp://image.papertrans.cn/c/image/222610.jpg

濃縮

On real functions.,er variables, we normally consider these various quantities to be expressed by means of the one among them, which therefore takes the name the .. The other quantities expressed by means of the independent variable are called . of that variable.