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Class 10 > Learn UNIT II: Algebra > What is algebraic geometry?
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What is algebraic geometry?

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Algebraic geometry is a branch of mathematics that studies the solution sets of polynomial equations. It uses tools from both algebra and geometry to study geometric objects, such as curves and surfaces, that can be defined by polynomial equations.
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Algebraic geometry is that branch of mathematics which uses algebraic techniques mainly from computative algebra to solve geometrical problems
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Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems. Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects. ...
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Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems. Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects.
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Algebraic geometry is a branch of mathematics that studies solutions to systems of polynomial equations. It combines algebra, which deals with mathematical operations and structures, with geometry, which studies shapes and spaces. In algebraic geometry, geometric objects are described using algebraic...
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Algebraic geometry is a branch of mathematics that studies solutions to systems of polynomial equations. It combines algebra, which deals with mathematical operations and structures, with geometry, which studies shapes and spaces. In algebraic geometry, geometric objects are described using algebraic equations, and the relationships between these equations provide insight into the geometry of the corresponding shapes or varieties. It has applications in various fields, including physics and computer science.

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As its name suggests, algebraic geometry deals with curves or surfaces (or more abstract generalisations of these) which can be viewed both as geometric objects and as solutions of algebraic (specifically, polynomial) equations.
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Algebra is a branch of Mathematics which uses abstract algebraic techniques, mainly from commutative Algebra, to solve geometrical problems.
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16 Years Experience in Physics

Algebraic geometry is a branch of mathematics that studies the solution using general values using alphabets or roman letters.
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