Author: Hans J. Stetter
Publisher: SIAM: Society for Industrial and Applied Mathematics
Keywords: algebra, polynomial, numerical
Number of Pages: 488
Published: 2004-05-01
List price: $104.00
ISBN-10: 0898715571
ISBN-13: 9780898715576

In many important areas of scientific computing, polynomials in one or more variables are employed in the mathematical modeling of real-life phenomena; yet most of classical computer algebra assumes exact rational data. This book is the first comprehensive treatment of the emerging area of numerical polynomial algebra, an area that falls between classical numerical analysis and classical computer algebra but, surprisingly, has received little attention so far. The author introduces a conceptual framework that permits the meaningful solution of various algebraic problems with multivariate po

Author: Edgar Lee Stout
Publisher: Birkhäuser Boston
Keywords: mathematics, progress, convexity, polynomial
Number of Pages: 439
Published: 2007-05-03
List price: $79.95
ISBN-10: 0817645373
ISBN-13: 9780817645373

This comprehensive monograph is devoted to the study of polynomially convex sets, which play an important role in the theory of functions of several complex variables. Important features of Polynomial Convexity: *Presents the general properties of polynomially convex sets with particular attention to the theory of the hulls of one-dimensional sets. *Motivates the theory with numerous examples and counterexamples, which serve to illustrate the general theory and to delineate its boundaries. *Examines in considerable detail questions of uniform approximation, especially on totally real sets

Author: Bahman Kalantari
Publisher: World Scientific Publishing Company
Keywords: polynomiography, finding, root, polynomial
Number of Pages: 492
Published: 2008-12-04
List price: $112.00
ISBN-10: 9812700595
ISBN-13: 9789812700599

This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a creative and novel computer visualization that renders spectacular images of a polynomial equation. Polynomiography will not only pave the way for new applications of polynomials in science and mathematics, but also in art and education. The book presents a thorough development of the basic family, arguably the most fundamental family of iteration functions, deriving many surprising and novel theoretical and practi

Author: Paul A. Fuhrmann
Publisher: Springer
Keywords: universitext, algebra, linear, approach, polynomial
Number of Pages: 380
Published: 1996-06-20
List price: $79.95
ISBN-10: 0387946438
ISBN-13: 9780387946436

Text heavily biased toward functional methods. Discusses the Hankel norm approximation for the case of scalar rational functions. Paper. DLC: Algebras, Linear.

Author: Theodore E. Djaferis
Publisher: Springer
Keywords: approach, polynomial, design, control, robust
Number of Pages: 288
Published: 1995-08-31
List price: $255.00
ISBN-10: 0792396170
ISBN-13: 9780792396178

Our heavy dependence on systems that are automatically controlled is undeniable. Many such systems can be found in nature; others are man-made. A primary component of such systems is a device or mechanism called the controller. In man-made systems, one must first design and then implement such a controller, either as a piece of hardware or as software code in a computer. The process of developing a controller can be dramatically improved if one can generate an appropriate dynamic model of the system under consideration. Robust Control Design: A Polynomial Approach explains how to deve

Authors:Kalle Kaarli, Alden F. Pixley,
Publisher: Chapman and Hall/CRC
Keywords: systems, algebraic, completeness, polynomial
Number of Pages: 376
Published: 2000-07-21
List price: $139.95
ISBN-10: 1584882034
ISBN-13: 9781584882039

Boolean algebras have historically played a special role in the development of the theory of general or "universal" algebraic systems, providing important links between algebra and analysis, set theory, mathematical logic, and computer science. It is not surprising then that focusing on specific properties of Boolean algebras has lead to new directions in universal algebra.In the first unified study of polynomial completeness, Polynomial Completeness in Algebraic Systems focuses on and systematically extends another specific property of Boolean algebras: the property of affine completeness. Th

Author: L. Smith
Publisher: A K Peters Ltd
Keywords: notes, mathematics, vol, research, groups, invariants, finite, polynomial
Number of Pages: 360
Published: 1995-01
List price: $85.00
ISBN-10: 1568810539
ISBN-13: 9781568810539

Written by an algebraic topologist motivated by his own desire to learn, this book represents the compilation of results in the theory of polynomial invariants of finite groups. As well as covering invariant theory, the book also introduces some of the basic concepts behind ideal theory and homological algebra in a liberating context, and discusses the mutual impact of invariant theory and algebraic topology. Along the way, the author also examines such topics as the Hilbert-Noether finiteness theorems, methods for constructing invariants, the Poincare series, localization and use of gradings,