In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

In this paper, we study Fréchet vector subdifferentials of vector-valued functions in normed spaces which reduce to the known ones of extended-real-valued functions. We establish relations between two ...

Elisabetta Barletta, Sorin Dragomir, Vector valued holomorphic functions, Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, Nouvelle Série, Vol. 52 (100), No. 3 (2009), pp.

Multivariable Calculus The techniques of 100-level calculus are applied and extended in the study of infinite series, vector-valued functions and functions of two or more variables. Topics include ...

How to turn the complex mathematics of vector calculus into simple pictures Feynman diagrams revolutionized particle physics. Now mathematicians want to do the same for vector calculus.