Fractal calculus represents a significant extension of traditional calculus, providing a robust framework for the analysis of functions defined on irregular, non-differentiable fractal sets. This ...

THIS work fills a distinct gap in the mathematical student's library by giving an account of tensor methods in their application to the more elementary problems of geometry and physics. Of the four ...

Calculus to the level of ODEs, partial derivative and multiple integrals, some knowledge of PDEs helpful but not essential. Students should have a certain comfort level with dealing with advanced ...

Real-world applications of calculus range from modeling disease spread in epidemiology to improving predictive algorithms in machine learning. In physics, it helps calculate instantaneous velocity and ...

What is calculus: It’s the study of change and motion, split into differential (rates of change) and integral (accumulation) branches. Where it’s used: From physics and engineering to economics, ...