<正> This paper attemps to present a brief proof of Cauchy-Goursat Integral Theo-rem,by using the concept of the nonstandard zero 0~*.Symbal 0~* and other DefinitionsIf Δx=0 and limΔx=0 then Δx is called an i...<正> This paper attemps to present a brief proof of Cauchy-Goursat Integral Theo-rem,by using the concept of the nonstandard zero 0~*.Symbal 0~* and other DefinitionsIf Δx=0 and limΔx=0 then Δx is called an infinitesinal,and it′final value is 0~*,This can be denoted byfin Δx=dx=0~*Thus,if dz=dx+idy,where dx=0~*,and dy=0~*,then we say,展开更多
文摘<正> This paper attemps to present a brief proof of Cauchy-Goursat Integral Theo-rem,by using the concept of the nonstandard zero 0~*.Symbal 0~* and other DefinitionsIf Δx=0 and limΔx=0 then Δx is called an infinitesinal,and it′final value is 0~*,This can be denoted byfin Δx=dx=0~*Thus,if dz=dx+idy,where dx=0~*,and dy=0~*,then we say,