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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Positive Polynomials: From Hilbert's 17th Problem to Real Algebra

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

Prestel, Alexander
Delzell, Charles N.

Paperback

Series: Springer Monographs in Mathematics

AlgebraGeneral MathematicsGeometry

ISBN10: 3642074456
ISBN13: 9783642074455
Publisher: Springer
Published: Sep 22 2011
Pages: 268
Weight: 0.87
Height: 0.59 Width: 6.14 Depth: 9.21
Language: English
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 R n which itself is often given by polynomial inequalities. The main objective of the book is to give useful characterizations of such polynomials. It takes as starting point Hilbert's 17th Problem from 1900 and explains how E. Artin's solution of that problem eventually led to the development of real algebra towards the end of the 20th century. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed. Thus the monograph can also serve as the basis for a 2-semester course in real algebra.

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