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#### Class Field Theory

Springer New York 2008; Not AvailableThis book provides an accessible introduction to class field theory. It takes a traditional approach, but in a fashion which is cleaner and more streamlined than most other books on this topic. The book has been class-tested, and the author has included exercises. 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...

#### Algebraic Patching

Springer Berlin Heidelberg 2011; US$ 139.00This book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields". more...

#### 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 2016; 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...

#### Field Theory

Springer New York 2007; US$ 64.95Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials.... 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$ 165.00This 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...

#### Vorlesungen über die Theorie der Polyeder

Springer Berlin Heidelberg 2013; US$ 54.99Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser... more...