Geometría algebraica

Algebraic geometry is a branch of mathematics that studies the relationships between geometric shapes and algebraic equations. It combines elements of algebra, particularly polynomials, with geometric concepts. Essentially, it considers how shapes like curves and surfaces can be understood through equations. For example, a circle can be represented by a specific equation, and algebraic geometry explores the properties and intersections of such shapes. This field has applications in various areas, including cryptography, robotics, and physics, as it provides powerful tools for solving complex problems involving both shapes and numbers.