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The Center and Cyclicity Problems
Springer 2009; US$ 47.99Using a computational algebra approach, this text addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. It covers the main properties of ideals in polynomial rings and their affine varieties followed by a discussion on the theory of normal forms and stability of differential equations. more...
Complex Polynomials
Cambridge University Press 2002; US$ 74.00This book studies the geometric theory of polynomials and rational functions in the plane. The theory is carefully constructed bearing in mind the needs of graduate students. Several unsolved problems are presented as well as the full solutions to some well known conjectures. more...
Handbook of Geometric Topology
Elsevier Science 2001; US$ 295.00Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys... more...
Inequalities Based on Sobolev Representations
Springer 2011; US$ 39.99Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Gruss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions. Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved... more...
Lectures on N_X(p)
CRC Press 2011; US$ 39.95Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-adic cohomology and group representations, presented in... more...
Negative Binomial Regression
Cambridge University Press 2011; US$ 72.00A substantial enhancement of the only text devoted entirely to the negative binomial model and its many variations. more...
Numerical Methods for Roots of Polynomials
Elsevier Science 2007; US$ 180.00This book (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newton?s, as well as numerous variations on them invented in the last few decades. Perhaps more importantly it covers recent developments such as Vincent?s method, simultaneous iterations, and matrix methods. There is an extensive chapter on evaluation... more...
The Numerical Solution Of Systems Of Polynomials Arising In Engineering And Science
World Scientific Publishing Company 2005; US$ 78.00Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed... more...
Polynomials and Vanishing Cycles
Cambridge University Press 2007; US$ 106.00A systematic geometro-topological approach to vanishing cycles appearing in non-proper fibrations; contains the latest research findings. more...
