Another crucial property involves the composition of functions. If g is continuous at x = a and f is continuous at g (a), ...

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.

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 ...

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 ...

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 ...