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Positive Polynomials: From Hilbert's 17th Problem to Real Algebra Book

Positive Polynomials: From Hilbert's 17th Problem to Real Algebra
Positive Polynomials: From Hilbert's 17th Problem to Real Algebra, Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basi, Positive Polynomials: From Hilbert's 17th Problem to Real Algebra has a rating of 3 stars
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Positive Polynomials: From Hilbert's 17th Problem to Real Algebra, Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basi, Positive Polynomials: From Hilbert's 17th Problem to Real Algebra
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  • Positive Polynomials: From Hilbert's 17th Problem to Real Algebra
  • Written by author Alexander Prestel
  • Published by Springer-Verlag New York, LLC, May 2001
  • Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basi
  • Positivity is one of the most basic mathematical concepts. In many areas of mathematics (like analysis, real algebraic geometry, functional analysis, etc.) it shows up as positivity of a polynomial on a certain subset of Rsubn which itself is often given
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Book Categories

Authors

Introduction1
1Real Fields7
2Semialgebraic Sets31
3Quadratic Forms over Real Fields53
4Real Rings81
5Archimedean Rings113
6Positive Polynomials on Semialgebraic Sets139
7Sums of 2mth Powers161
8Bounds179
App.: Valued Fields203
References247
Glossary of Notations255
Index259


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Positive Polynomials: From Hilbert's 17th Problem to Real Algebra, Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basi, Positive Polynomials: From Hilbert's 17th Problem to Real Algebra

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Positive Polynomials: From Hilbert's 17th Problem to Real Algebra, Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basi, Positive Polynomials: From Hilbert's 17th Problem to Real Algebra

Positive Polynomials: From Hilbert's 17th Problem to Real Algebra

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Positive Polynomials: From Hilbert's 17th Problem to Real Algebra, Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basi, Positive Polynomials: From Hilbert's 17th Problem to Real Algebra

Positive Polynomials: From Hilbert's 17th Problem to Real Algebra

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