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Positive Polynomials
Prestel, Alexander; Delzell, Charles N.
€ 66.82
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Description for Positive Polynomials
Paperback. Series: Springer Monographs in Mathematics. Num Pages: 277 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 15. Weight in Grams: 433.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
277
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
268
Place of Publication
Berlin, Germany
ISBN
9783642074455
SKU
V9783642074455
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Positive Polynomials
From the reviews of the first edition: "This is a nicely written introduction to ‘reality’ and ‘positivity’ in rings, and besides students and researchers it can also be interesting for anyone who would like to learn more on positivity and orderings." (Vilmos Totik, Acta Scientiarum Mathematicarum, Vol. 68, 2002) "A book on ‘real ... Read more