Elimination Methods in Polynomial Computer Algebra

V. Bykov

ISBN 10: 9401062307 / ISBN 13: 9789401062305

Published by Springer, Springer, 2012

About this Item

Druck auf Anfrage Neuware - Printed after ordering - The subject of this book is connected with a new direction in mathematics, which has been actively developed over the last few years, namely the field of polynomial computer algebra, which lies at the intersection point of algebra, mathematical analysis and programming. There were several incentives to write the book. First of all, there has lately been a considerable interest in applied nonlinear problems characterized by multiple sta tionary states. Practical needs have then in their turn led to the appearance of new theoretical results in the analysis of systems of nonlinear algebraic equations. And finally, the introduction of various computer packages for analytic manipulations has made it possible to use complicated elimination-theoretical algorithms in prac tical research. The structure of the book is accordingly represented by three main parts: Mathematical results driven to constructive algorithms, computer algebra realizations of these algorithms, and applications. Nonlinear systems of algebraic equations arise in diverse fields of science. In particular, for processes described by systems of differential equations with a poly nomial right hand side one is faced with the problem of determining the number (and location) of the stationary states in certain sets.

Seller Inventory # 9789401062305

Bibliographic Details

• Title: Elimination Methods in Polynomial Computer Algebra
• Publisher: Springer, Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 9401062307
• ISBN 13: 9789401062305
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 160H x 15D millimeters 240 millimeters width by 160 millimeters height by 15 millimeters depth
• Weight: 421 grams

About this title

Synopsis

The subject of this book is connected with a new direction in mathematics, which has been actively developed over the last few years, namely the field of polynomial computer algebra, which lies at the intersection point of algebra, mathematical analysis and programming. There were several incentives to write the book. First of all, there has lately been a considerable interest in applied nonlinear problems characterized by multiple sta­ tionary states. Practical needs have then in their turn led to the appearance of new theoretical results in the analysis of systems of nonlinear algebraic equations. And finally, the introduction of various computer packages for analytic manipulations has made it possible to use complicated elimination-theoretical algorithms in prac­ tical research. The structure of the book is accordingly represented by three main parts: Mathematical results driven to constructive algorithms, computer algebra realizations of these algorithms, and applications. Nonlinear systems of algebraic equations arise in diverse fields of science. In particular, for processes described by systems of differential equations with a poly­ nomial right hand side one is faced with the problem of determining the number (and location) of the stationary states in certain sets.

Language Notes

Text: English (translation)
Original Language: Russian