Printer Friendly

Positive polynomials and sums of squares.

9780821844021

Positive polynomials and sums of squares.

Marshall, Murray.

American Mathematical Society

2008

187 pages

$65.00

Hardcover

Mathematical surveys and monographs; v.146

QA432

Developed from lectures given by Marshall at the U. of Saskatchewan and elsewhere, this provides an elementary introduction and includes such subjects as the moment problem and applications to polynomial optimization. Marshall addresses Krivine's Positivstellensatz, the non-compact case, Archimedean T-modules, Schmudgen's Positivstellensatz, Putinar's question, the weak isotropy of quadratic forms, Scheiderer's local-global principle, and semidefinite programming and operation. Appendices cover such background material as the Tarksi-Seidenberg theorem and algebraic sets. Designed for students at the beginning graduate level, this concentrates on concrete objects, such as polynomials in n variables with real coefficients, and Marshall includes plenty of examples and new, simple proofs. He also provides a very useful bibliography for further study.

([c]20082005 Book News, Inc., Portland, OR)
COPYRIGHT 2008 Book News, Inc.
No portion of this article can be reproduced without the express written permission from the copyright holder.
Copyright 2008 Gale, Cengage Learning. All rights reserved.

Article Details
Printer friendly Cite/link Email Feedback
Publication:SciTech Book News
Article Type:Book Review
Date:Jun 1, 2008
Words:144
Previous Article:Automotive engineering; lightweight, functional, and novel materials.
Next Article:Intestinal failure; diagnosis, management and transplantation.


Related Articles
Knots: Mathematics With A Twist.
Short cuts to computing eigenvalues.
Polynomial identities and asymptotic methods.
Combinatorics, complexity, and chance; a tribute to Dominic Welsh.
Inequalities from Complex Analysis.
Summa summarum.
Abstract algebra.
Number theory through inquiry.
Integrable systems and random matrices; proceedings.
Computational complexity; proceedings.

Terms of use | Privacy policy | Copyright © 2021 Farlex, Inc. | Feedback | For webmasters |