View Algebraic Geometry Full. Classical algebraic geometry is the 'next step' after linear algebra. Algebraic geometry sets out to answer these questions by applying the techniques of abstract algebra to the set of polynomials that define the curves (which are then called algebraic varieties).
Basic algebraic geometry by shafarevich is probably the best introduction out there. Applied mathematics, algebraic geometry, functional analysis Algebraic geometry is the study of algebraic varieties:
Even if our primary interest is in smooth objects, degenerations to singular objects can.
The above text is excerpted from the wikipedia article algebraic geometry. If you allow multiplication of coordinates, you get polynomials in multiple. Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate for faster navigation, this iframe is preloading the wikiwand page for algebraic geometry. Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry.
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