A theorem named for this mathematician states that, in a simply connected domain, the integral of an analytic function over a contour is zero.
For an integral with bounds of negative and positive infinity, this mathematician names the quantity that is the limit of the integral for bounds negative and positive A, where A goes to infinity, which is his principal value. A theorem named for this mathematician states that, in a simply connected domain, the integral of an analytic function over a contour is zero. A metric space is termed complete if every sequence named for this person converges in its set; those sequences have terms that become arbitrarily close to each other as it progresses. His Cours d'Analyse introduced the delta-epsilon definition of a limit. He is the first namesake of a statement which states that the inner product of two vectors is less than or equal to the norm of each vector, multiplied together. For 10 points, name this French mathematician who names an inequality with Schwarz.
For an integral with bounds of negative and positive infinity, this mathematician names the quantity that is the limit of the integral for bounds negative and positive A, where A goes to infinity, which is his principal value.
Augustin-Louis Cauchy