His "product" gives a formula for the multiplication of the sums of two Taylor series; his "principal value" is the integral of a continuous function f from negative R to R as R approaches infinity; and one of his inequalities gives an upper bound on the value of the nth derivative of a function evaluated at a fixed complex number.
His "product" gives a formula for the multiplication of the sums of two Taylor series; his "principal value" is the integral of a continuous function f from negative R to R as R approaches infinity; and one of his inequalities gives an upper bound on the value of the nth derivative of a function evaluated at a fixed complex number. Extremely prolific, he also gave the now- standard definitions of continuity and differentiability. FTP, who is this French mathematician whose 1821 Cours d'analyse was part of his goal to give a rigorous foundation to real analysis?
His "product" gives a formula for the multiplication of the sums of two Taylor series; his "principal value" is the integral of a continuous function f from negative R to R as R approaches infinity; and one of his inequalities gives an upper bound on the value of the nth derivative of a function evaluated at a fixed complex number.
Baron Augustin Louis Cauchy