Tensor Calculus
Tensor Calculus is a mathematical framework that extends traditional calculus to higher-dimensional spaces. It focuses on the manipulation of tensors, which are multi-dimensional arrays that generalize scalars and vectors. Tensors can represent various physical quantities, making them essential in fields like physics and engineering.
In physics, Tensor Calculus is particularly important in the study of general relativity, where it describes the curvature of space-time. By using tensors, scientists can express complex relationships and transformations in a compact and efficient manner, facilitating the analysis of systems in multiple dimensions.