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A manifold is a topological space that locally resembles Euclidean space near each point. More precisely, each point of an n-dimensional manifold has a neighbourhood that is homeomorphic to the Euclidean space of dimension n.

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Background to learn about manifolds [closed]

Greetings As a necessity to go forward with physics, I find myself in the need to learn about manifolds. Being an engineering student, I don't have the chance to study topology in all its glory. … So, can any one point me to the right direction, i mean things I must know first and the materials to fill the gaps before approaching manifolds? Thanks …
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