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 Boolean Differential Calculus (BDC) is a very powerful theory that extends the basic concepts of Boolean Algebras significantly. Its applications are based on Boolean spaces 픹 and 픹ⁿ, Boolean ...

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 ...

Fractional order calculus (FOC) deals with integrals and derivatives of arbitrary (i.e., non-integer) order, and shares its origins with classical integral and differential calculus. However, until ...

Calculus, the mathematical study of continuous change, stands as a cornerstone of advanced mathematics and its applications. As you delve into this powerful branch of mathematics, you’ll discover a ...

ABSTRACT: This study compares the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM) for solving nonlinear differential equations in engineering. Differential equations are ...