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Positive Polynomials: From Hilbert’s 17th Problem to Real Algebra (Springer Monographs in Mathematics) - Hardcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
Review
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 algebra’ that serves as an introduction to the subject in addition to the main theme of the text. ... Well written with exercises for every chapter." (ASLIB Book Guide, Vol. 66 (11), 2001)
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Positive Polynomials: From Hilbert's 17th Problem to Real Algebra (Springer Monographs in Mathematics)
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Positive Polynomials : From Hilbert's 17th Problem to Real Algebra
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Springer Berlin / Heidelberg, 2001
ISBN 10: 3540412158
ISBN 13: 9783540412151
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Positive Polynomials : From Hilbert's 17th Problem to Real Algebra
Published by
Springer Berlin / Heidelberg, 2001
ISBN 10: 3540412158
ISBN 13: 9783540412151
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Positive Polynomials : From Hilbert's 17th Problem to Real Algebra
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Positive Polynomials (Hardcover)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2001
ISBN 10: 3540412158
ISBN 13: 9783540412151
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Hardcover
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Hardcover. Condition: new. Hardcover. 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 Rn 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. 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. Artin's solution of that problem eventually led to the development of real algebra towards the end of the 20th century. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783540412151
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Positive Polynomials: From Hilbert's 17th Problem to Real Algebra (Springer Monographs in Mathematics)
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Positive Polynomials : From Hilbert's 17th Problem to Real Algebra
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Positive Polynomials: From Hilbert's 17th Problem to Real Algebra (Springer Monographs in Mathematics)
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Positive Polynomials
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Positive polynomials : from Hilbert's 17th problem to real algebra (IN ENGLISCHER SPRACHE). Alexander Prestel ; Charles N. Delzell / Springer monographs in mathematics,
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ISBN 10: 3540412158
ISBN 13: 9783540412151
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Mit graph. Darst., VIII, 267 Seiten, Schönes Exemplar mit handschriftlichem Besitzvermerk Sprache: Englisch Gewicht in Gramm: 527 8°, gelb-grüner OPp mit Rückentitel. Seller Inventory # 66188
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