differential calculus

The theory of distributions: generalized differentiation

by

The theory of distributions, also known as the theory of generalized functions, revolutionizes the way mathematicians approach concepts of function and differentiation. By transcending the limits imposed by classical differentiability, this theory creates a robust framework for extending differentiation to much more general mathematical objects, such as locally integrable functions and beyond. Since its foundations … Read more

Introduction to differential and integral calculus: key concepts

by
Introduction au calcul différentiel et intégral : concepts clés

IN BRIEF Differential calculus: study of derivatives to measure the change in a function. Integral calculus: understanding the concept of integral to determine areas under curves. For each function, it is possible to calculate derivatives and integrals using basic techniques. Geometric concepts such as areas, perimeters, and volumes are essential. The history of differential and … Read more