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 Continuity and Differentiability Formulas: Calculus comprises nearly half of the curriculum of the CBSE class 12 mathematics syllabus. Chapter 5 Continuity and Differentiability is one of the ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...

All prerequisite courses must be passed with a grade of C- or better. For official course descriptions, please see the current CU-Boulder Catalog. MATH 3001 Analysis 1 Provides a rigorous treatment of ...

Fractional calculus extends the classical notions of differentiation and integration to non-integer orders, offering an adaptable framework that is particularly well suited to modelling anomalous ...

Special functions have many remarkable properties that make them useful in various fields such as combinatory, astronomy, applied mathematics, physics, and engineering. This volume presents 15 ...