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#### The Center and Cyclicity Problems

Birkhäuser Boston 2009; US$ 59.95In the last three decades, new methods for investigating polynomial ideals and their varieties have emerged, providing new possibilities for approaching the long-standing center and cyclicity problems. Using a computational algebra approach, this work addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial... more...

#### Inequalities Based on Sobolev Representations

Springer 2011; US$ 49.95Inequalities 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$ 45.95Introduction Definition of N X (p) : the a-ne case Definition of N X (p) : the scheme setting How large is N X (p) When p ? ?? More properties of p ? N X (p) The Zeta Point of View Examples Examples Where Dim X(C) = 0 Examples Where Dim X(C) = 1 Examples Where Dim X(C) = 2 The Chebotarev Density Theorem for a Number Field The... more...

#### Numerical Methods for Roots of Polynomials - Part II

Elsevier Science 2013; US$ 175.00Numerical Methods for Roots of Polynomials - Part II along with Part I (9780444527295) covers most of the traditional methods for polynomial root-finding such as interpolation and methods due to Graeffe, Laguerre, and Jenkins and Traub. It includes many other methods and topics as well and has a chapter devoted to certain modern virtually optimal... more...

#### Topics in Polynomials of One and Several Variables and Their Applications

World Scientific Publishing Company 1993; US$ 267.00This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician. more...

#### Factoring Groups into Subsets

CRC Press 2009; US$ 231.00Introduction New Factorizations from Old Ones Restriction Factorization Homomorphism Constructions Nonperiodic Factorizations Bad factorizations Characters Replacement Periodic Factorizations Good factorizations Good groups Krasner factorizations Various Factorizations The Rédei property Quasiperiodicity... more...

#### Factorization

CRC Press 2008; US$ 67.95""This book offers an introduction to number theory bbuilt around the concept of unique factorization. After explaining the main players (integral domains and quadratic fields), the author proves that Euclidean rings are principal ideal domains, and that these have unique factorization. This is followed up with a lengthy discussion of examples of... more...

#### Algebraic Number Theory

Springer 2014; US$ 49.99The technical difficulties of algebraic number theory often make this subject appear difficult to beginners. This undergraduate textbook provides a welcome solution to these problems as it provides an approachable and thorough introduction to the topic.Algebraic Number Theory takes the reader from unique factorisation in the integers through to the... more...

#### Topologicheskaya Teoriya Galua

Springer Berlin Heidelberg 2014; US$ 109.00This book describes classic and new results on solvability and unsolvability of equations in explicit form, presenting the author's complete exposition of topological Galois theory, plus basics of the Picard-Vessiot theory and a great deal more. more...

#### Polynomials and Vanishing Cycles

Cambridge University Press 2007; US$ 108.00A systematic geometro-topological approach to vanishing cycles appearing in non-proper fibrations; contains the latest research findings. more...