Description - Numerical Polynomial Algebra by Hans J. Stetter
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 polynomial equations whose coefficients have some indeterminacy; for this purpose, he combines approaches of both numerical linear algebra and commutative algebra. For the application scientist, Numerical Polynomial Algebra provides both a survey of polynomial problems in scientific computing that may be solved numerically and a guide to their numerical treatment. In addition, the book provides both introductory sections and novel extensions of numerical analysis and computer algebra, making it accessible to the reader with expertise in either one of these areas.
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(228mm x 152mm x 23mm)
Society for Industrial & Applied Mathematics,U.S.
Publisher: Society for Industrial & Applied Mathematics,U.S.
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Book Reviews - Numerical Polynomial Algebra by Hans J. Stetter
Author Biography - Hans J. Stetter
Hans J. Stetter is Professor Emeritus of Numerical Mathematics at the Vienna University of Technology, Austria. He is the author of more than 90 publications and has been editor or associate editor of Computing, Numerische Mathematik, Transactions on Numerical Software, Mathematics of Computation, and various other journals. He is a member of the German Academy of Natural Scientists Leopoldina.