The Difference between a Mathematician and an algebraist is not that much, especially when considering the obvious similarity which they share – numbers! A mathematician is a somebody who is good at numbers, data, quantity, structure, space, models, and change. He uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. On the other hand, an algebraist is someone who is very knowledgeable when it comes to the algebra. Algebra simply is that type of equation which is described as the branch of mathematics in which abstract symbols, rather than numbers, are manipulated or operated with
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