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#### Inequalities Based on Sobolev Representations

Springer New York 2011; US$ 49.95Inequalities based on Sobolev Representations deals exclusively with tight integral inequalities of Chebyshev-Grüss and Ostrowski types, and of integral means. Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved functions. more...

#### Lectures on N_X(p)

CRC Press 2011; US$ 49.95Lectures on N X (p) deals with the question on how N X (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... more...

#### Structured Matrix Based Methods for Approximate Polynomial GCD

Scuola Normale Superiore 2012; US$ 24.95Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a classical problem in symbolic-numeric computation. The first part of this book reviews the main results that have been proposed so far in the literature. As usual with polynomial computations, the polynomial GCD problem can be expressed in matrix form:... more...

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

Elsevier Science 2013; US$ 172.00Numerical 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$ 231.00Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied to a variety of areas, such as number theory, geometry of tilings, coding theory, cryptography, graph theory, and Fourier analysis. Focusing mainly on cyclic groups, Factoring Groups into Subsets explores the factorization theory of abelian groups.... more...

#### Factorization

CRC Press 2008; US$ 67.95The concept of factorization, familiar in the ordinary system of whole numbers that can be written as a unique product of prime numbers, plays a central role in modern mathematics and its applications. This exposition of the classic theory leads the reader to an understanding of the current knowledge of the subject and its connections to other mathematical... 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...

#### Topological Galois Theory

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...

#### The Center and Cyclicity Problems

Birkhäuser Boston 2009; US$ 59.95Using a computational algebra approach, this work addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. The self-contained text contains exercises as well as historical notes and algorithms. more...