Zariski Tangent Space

In algebraic geometry, the Zariski tangent space is a construction that defines a tangent space at a point P on an algebraic variety V (and more generally). It does not use differential calculus, being based directly on abstract algebra, and in the most concrete cases just the theory of a system of linear equations.

Read more about Zariski Tangent Space:  Example: Plane Curve, Definition, Example Extended, Properties

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    “There is commonly sufficient space about us. Our horizon is never quite at our elbows.”
    —Henry David Thoreau (1817–1862)