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.

Charles Hermite called it a “deplorable evil.” To understand why Weierstrass’ result was so unnerving, it helps to first understand two of the most fundamental concepts in calculus: continuity and ...

CBSE Class 12 Maths Mind Map: Continuity and Differentiability Continuity and Differentiability are one of the most important topics in CBSE Class 12 maths and a critical concept of calculus.

To this end the Frechet differentiability of operator monotonic (negative complete Bernstein) functions of negative and nonpositive operators on Banach spaces is investigated. The results may be ...

In this paper, we use theoretical frameworks from mathematics education and cognitive psychology to analyse Cauchy's ideas of function, continuity, limit and infinitesimal expressed in his Cours ...

CBSE 12th Maths Continuity and Differentiability MCQs: Check here the multiple choice questions of CBSE Class 12 Mathematics Chapter 5 Continuity and Differentiability.

The course covers key Class 12 topics, including Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, and Applications of Derivatives.