We present a definition of holomorphic function and an approach to the Cauchy theory that presents complex function theory as a natural outgrowth of multivariable calculus. Journal Information ...

The operator convex functions of several variables are characterized in terms of a non-commutative generalization of Jensen's inequality, extending previous results of F. Hansen and G.K. Pedersen for ...

Mathematics majors learn knowledge and awareness of topics such as basic real analysis of one variable, calculus of several variables and vector analysis, and the structure of mathematical proofs.