It seems like all advance mathematical terms are defined by other advanced mathematical terms, is there any resource (other than SE wiki) that explains concepts like vector space, divergence, ring and eigenvector with simple English words and not just a list of technical terminology which express attributes?
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the way to learn these concepts is through examples, and most pedagogically-sound books you'll find will give an intuitive background to the ideas. Wikipedia has plenty of math-related articles with sections to introduce mathematical constructs in a natural or intuitive way with examples and motivation
Well, I have been searching through Wikipedia (as mentioned) and I can't find any of the "intuitive" explanations or examples you are referring to. Every definition includes another term whose definition eventually leads back to the term I was originally looking up. Maybe if there was a listing of the more advanced terms in prerequisite order, that would help.