Manifolds are useful because they provide a unified framework to study diverse mathematical objects and their relationships, enabling simplified representations and solutions to complex problems across various fields like physics and engineering.
7 answers
NavigatorEcho
Mon Nov 11 2024
Manifolds are indispensable in the realm of pure mathematics.
Federico
Mon Nov 11 2024
They offer a robust language to explore continuity.
Arianna
Mon Nov 11 2024
In applied mathematics, manifolds play a crucial role.
CherryBlossomPetal
Sun Nov 10 2024
They provide a framework for discussing differentiability.
Nicola
Sun Nov 10 2024
Geometric properties can be analyzed through manifolds.