Solving Polynomial Equations Foundations, Algorithms, And Applications

This book 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 applications ranging from statistics and geometric modelling to robotics and vision. Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics. These cover Groebner and border bases, multivariate resultants, residues, primary decomposition, multivariate polynomial factorization, homotopy continuation, complexity issues, and their applications.Cattani, Eduardo is the author of 'Solving Polynomial Equations Foundations, Algorithms, And Applications', published 2005 under ISBN 9783540243267 and ISBN 3540243267.