From Vectors to Tensors

I’m not referring to the idea of arrows in space with direction and magnitude, but vectors as in a Mathematical sense. This article explores the notion of vectors, which will then be extended to Tensors. Of course, as this is intended for a basic understanding, it will lack Mathematical rigor. <h1>What is a Vector?</h1> A vector is an element of a set. This set is called a Vector space. In order for a Set to qualify as a Vector space, it need to satisfy certain conditions. Refer <a href="https://mathworld.wolfram.com/VectorSpace.html" rel="noopener ugc nofollow" target="_blank">t</a>his <a href="https://mathworld.wolfram.com/VectorSpace.html" rel="noopener ugc nofollow" target="_blank">link</a> for a detailed description. To summarize, a vector space V over a Scalar <a href="https://en.wikipedia.org/wiki/Field_(mathematics)" rel="noopener ugc nofollow" target="_blank">Field</a> F is a set for which operation of additions and scalar multiplication is defined with following properties: <a href="https://medium.com/@scinopio/from-vectors-to-tensors-6dc4fc892246">Learn More</a>