Mathematics Topological Spaces This post motivates the definition of a topological space using the concept of a filter.
Mathematics Tangent Bundles This post contains a detailed explanation of the concept of the tangent bundle on a smooth manifold.
Mathematics Tangent Spaces This post contains a detailed explanation of the concept of the tangent space at a point on a smooth manifold.
Mathematics Total Derivatives This post contains a detailed explanation of the concept of the total derivative of a continuous function. It attempts to explain the total derivative in a way which relates it to concepts from differential geometry (such as tangent spaces).
