Titolo: Solving Polynomial Equations: Foundations, Algorithms, and Applications (Algorithms and Computation in Mathematics, 14)
Editore: Springer
Data di pubblicazione: 2010
Lingua: Inglese
ISBN 10: 3642063616
ISBN 13: 9783642063619
Rilegatura: Brossura
Condizione: New

Descrizione articolo

Riassunto

This useful collection provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and a range of applications. Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics.

Recensione

From the reviews of the first edition:

"[...] The editors of the book ― Alicia Dickenstein and Ioannis Emiris ― have done a very good job in collecting a set of expository lectures on a very interesting branch of mathematics. I imagine that this book will be of use to anyone working in the area, and would be a good introduction for a graduate student or someone wishing to start working in the field. [...]"

Darren Glass, MAA Review, January 2006

"Dieses Buch besteht aus neun weitgehend unabh�ngigen Kapiteln zum Thema "L�sung polynomialer Gleichungssysteme", geschrieben von bekannten Experten. Der Schwerpunkt liegt auf spezialisierten Themen, bei denen in j�ngerer Zeit beachtliche Fortschritte erzielt wurden. Es gibt deshalb wenig �berschneidungen mit anderen B�chern der Computeralgebra. [...] Insgesamt ist dieses Buch eine reiche Quelle von Informationen und eine sehr willkommene Erg�nzung zu den bereits vorhandenen Lehrb�chern im Bereich der L�sung polynomialer Gleichungssysteme. Es sollte in keinem Regal fehlen."

Peter B�rgisser, Computeralgebra, Ausgabe 39, Oktober 2006

"Although about 15 authors have contributed to this book it constitutes a unified whole. Its subjects are the diverse methods, techniques and algorithms in solving multivariate (non-linear) polynomial equations or systems of them, which mostly have been developed in recent years. ... All in all there is presented a detailed account, which often leads to the front of research." (G. Kowol, Monatshefte f�r Mathematik, Vol. 148 (4), 2006)

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