Question

- Explain the general relationship between abstract algebra and geometry.
- Discuss how the symmetries of a square can be conceptualized as the dihedral group of order 8.

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Algebraic geometry is a branch of mathematics, which combines techniques of abstract algebra and commutative algebra with the language and the problems of geometry.It captures a main place in modern mathematics and has multiple connections with such various fields. A study of systems of polynomials, the subject of algebraic geometry begins where equation solving ends. All of this leads into some of the most in depth areas in all of mathematics, both theoretically and in terms of method....

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