Residues#
The residue theorem and the argument principle.
Cauchy’s residue theorem: the contour integral is 2 pi i times the enclosed residues
Cauchy's residue theorem: the contour integral is 2 pi i times the enclosed residues
The argument principle: counting zeros minus poles by winding
The argument principle: counting zeros minus poles by winding
The fundamental theorem of algebra, by winding numbers
The fundamental theorem of algebra, by winding numbers
Laurent series: expansions with negative powers in an annulus
Laurent series: expansions with negative powers in an annulus
