The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...
A function with continuous nonzero derivative whose inverse is nowhere continuous is given. The function satisfies all the premises of the inverse function theorem except one: it is not defined on an ...
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.
Maths Inverse Trigonometric Functions Formulas: Calculus is one of the most important topics in mathematics. The CBSE Class 11 and 12 introduce students to many advanced concepts in calculus. Nearly ...