I want to know, what is the difference between Algebra, Geometry and Algebraic Geometry ?
Your reply is highly appreciated.
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up.Sign up to join this community
Here are some oversimplified blurbs about what each one does.
(Abstract) algebra deals with operations on sets, especially binary operations.
Geometry deals with sets which have groups acting on them. Part of this involves shape.
Algebraic geometry applies commutative algebra to sets described by algebraic equations. It gives information about the shape of such sets. As its name implies, it uses both algebra and geometry. It might be better to say it uses algebraic techniques to answer geometric questions.