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Positive Polynomials: From Hilbert's 17th Problem to Real Algebra (Springer Monographs in Mathematics) [Hardcover]

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Item description for Positive Polynomials: From Hilbert's 17th Problem to Real Algebra (Springer Monographs in Mathematics) by Alexander Prestel...

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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Item Specifications...


Pages   268
Est. Packaging Dimensions:   Length: 9.45" Width: 6.38" Height: 0.79"
Weight:   1.15 lbs.
Binding  Hardcover
Release Date   May 18, 2001
Publisher   Springer
ISBN  3540412158  
ISBN13  9783540412151  


Availability  69 units.
Availability accurate as of Mar 29, 2017 01:26.
Usually ships within one to two business days from La Vergne, TN.
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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Algebraic Geometry
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Algebra > General
5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Finite Mathematics
6Books > Subjects > Science > General
7Books > Subjects > Science > Mathematics > General
8Books > Subjects > Science > Mathematics > Geometry & Topology > Algebraic Geometry
9Books > Subjects > Science > Mathematics > Mathematical Analysis
10Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > General
11Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus
12Books > Subjects > Science > Mathematics > Pure Mathematics > Finite Mathematics



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