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Algorithms in Real Algebraic Geometry by Saugata Basu, Richard Pollack, Marie-Françoise Roy is a nonfiction available to read on EtoBox.

What is Algorithms in Real Algebraic Geometry about?

Title page Introduction 1 Algebraically Closed Fields 1.1 Definitions and First Properties 1.2 Euclidean Division and Greatest Common Divisor 1.3 Projection Theorem for Constructible Sets 1.4 Quantifier Elimination and the Transfer Principle 1.5 Bibliographical Notes 2 Real Closed Fields 2.1 Ordered, Real and Real Closed Fields 2.2 Real Root Counting 2.2.1 Descartes's Law of Signs and the Budan-Fourier Theorem 2.2.2 Sturm's Theorem and the Cauchy Index 2.3 Projection Theorem for Aigebraic Sets 2.4 Projection Theorem for Semi-Algebraic Sets 2.5 Applications 2.5.1 Quantifier Elimination and the Transfer Principle 2.5.2 Semi-Algebraic Functions 2.5.3 Extension of Semi-Algebraic Sets and Functions 2.6 Puiseux Series 2.7 Bibliographical Notes 3 Semi-Algebraic Sets 3.1 Topology 3.2 Semi-algebraically Connected Sets 3.3 Semi-algebraic Germs 3.4 Closed and Bounded Semi-algebraic Sets 3.5 Implicit Function Theorem 3.6 Bibliographical Notes 4 Algebra 4.1 Discriminant and subdiscriminant 4.2 Resultant and Subresultant Coefficients 4.2.1 Resultant 4.2.2 Subresultant coefficients 4.2.3 Subresultant coefficients and Cauchy Index 4.3 Quadratic Forms and Root Counting 4.3.1 Quadratic Forms 4.3.2 H

Who reads Algorithms in Real Algebraic Geometry?

Author

Saugata Basu, Richard Pollack, Marie-Françoise Roy

Publisher

Springer

Language

EN

Category

nonfiction

Subjects

Mathematics, Stem