Differentiable manifold

Informally, a differentiable manifold is a kind of topological space that is similar enough to Euclidean space to allow one to do calculus

Calculus

Calculus is a central branch of mathematics [i], developed from algebra [i] and geometry [i]. ...

. More formally, a differentiable manifold is a topological manifold with a globally defined differentiable structure. Any topological manifold can be given a differentiable structure locally by using the homeomorphisms in its atlas, combined with the standard differerentiable structure on the Euclidean space.

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Informally, a differentiable manifold is a kind of topological space that is similar enough to Euclidean space to allow one to do calculus

Calculus

Calculus is a central branch of mathematics [i], developed from algebra [i] and geometry [i]. ...

.
More formally, a differentiable manifold is a topological manifold with a globally defined differentiable structure. Any topological manifold can be given a differentiable structure locally by using the homeomorphisms in its atlas, combined with the standard differerentiable structure on the Euclidean space.