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Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra /

By: Material type: TextTextSeries: Undergraduate texts in MathematicsPublication details: New York c2015 SpringerEdition: 4th edDescription: xvi, 646pISBN:
  • 978331 9167206
Subject(s): DDC classification:
  • 516.35 COX
Summary: Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated? The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal.
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Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated? The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal.

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