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 ...

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 ...

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 ...

The sums of squares in the general unequal numbers analysis of variance for an n-way or n-factor classification may be obtained in general terms from standard regression theory. However, the computing ...

Deep-Learning Discrete Calculus (DLDC) is an emerging field that integrates calculus, numerical methods, machine and deep learning algorithms to identify, model, and solve mathematical science systems ...

Calculus is the study of change. Calculus teaching methods, however, have changed little in recent decades. Now, FIU research shows a new model could improve calculus instruction nationwide. A study ...

Annals of Mathematics, a distinguished journal of research papers in pure mathematics, was founded in 1884. Annals of Mathematics is published bimonthly with the cooperation of Princeton University ...