Computer Algebra and Polynomials, Jaime Gutierrez; Josef Schicho; Martin Weimann

Автор: T. Sheil-Small
Название: Complex Polynomials
ISBN: 0521400686 ISBN-13(EAN): 9780521400688
Издательство: Cambridge Academ
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Описание: This book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology and analysis.

Автор: Alexander V. Mikhalev; A.B. Levin; E.V. Pankratiev
Название: Differential and Difference Dimension Polynomials
ISBN: 0792354842 ISBN-13(EAN): 9780792354840
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Difference algebra arises from the study of algebraic difference equations and therefore bears a considerable resemblance to its differential counterpart. This monograph is devoted to the investigation of differential and difference dimension theory.

Автор: Marco Fontana; Sophie Frisch; Sarah Glaz; Francesc
Название: Rings, Polynomials, and Modules
ISBN: 3319658727 ISBN-13(EAN): 9783319658728
Издательство: Springer
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Цена: 15372.00 р.
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Описание:

Preface.- 1 Reducing Fractions to Lowest Terms.- 2 Unique Factorization in Torsion-free Modules.- 3 n-Absorbing Ideals of Commutative Rings and Recent Progresses on Three Conjectures: A Survey.- 4 Embedding Dimension and Codimension of Tensor Products of Algebras Over a Field.- 5 Minimal Generating Sets for the D-Algebra Int(S, D).- 6 Algebraic Entropy in Locally Linearly Compact Vector Spaces.- 7 Commutative Rings Whose Finitely Generated Ideals are Quasi-Flat.- 8 Commutative Rings with a Prescribed Number of Isomorphism Classes of Minimal Ring Extensions.- 9 Applications of Multisymmetric Syzygies in Invariant Theory.- 10 Functorial Properties of Star Operations: New Developments.- 11 Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids.- 12 Corner's Realization Theorems from the Viewpoint of Algebraic Entropy.- 13 Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks.- 14 Divisorial Prime Ideals in Prьfer Domains.- 15 A gg-Cancellative Semistar Operation on an Integral Domain Need Not Be gh-Cancellative.- 16 Quasi-Prьfer Extensions of Rings.- 17 A Note on Analytically Irreducible Domains.- 18 Integer-valued Polynomials on Algebras: A Survey of Recent Results and Open Questions.

Автор: Sorin G. Gal; George A. Anastassiou
Название: Shape-Preserving Approximation by Real and Complex Polynomials
ISBN: 0817647023 ISBN-13(EAN): 9780817647025
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables. Such approximation methods are useful in many problems that arise in science and engineering and require an optimal mathematical representation of physical reality.

Автор: Dimitry Leites; Victor V. Prasolov
Название: Polynomials
ISBN: 3642039790 ISBN-13(EAN): 9783642039799
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Covers its topic in greater depth than the typical standard books on polynomial algebra

Автор: George M. Phillips
Название: Interpolation and Approximation by Polynomials
ISBN: 1441918108 ISBN-13(EAN): 9781441918109
Издательство: Springer
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Цена: 10475.00 р.
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Описание: In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks.

Автор: Arak M. Mathai; Serge B. Provost; Takesi Hayakawa
Название: Bilinear Forms and Zonal Polynomials
ISBN: 0387945229 ISBN-13(EAN): 9780387945224
Издательство: Springer
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Описание: Deals with bilinear forms in real random vectors and their generalizations. This monograph shows how zonal polynomials may be used to analyze such forms and thus to apply these concepts in a variety of statistical settings.

Автор: David E. Handelman
Название: Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem
ISBN: 3540184007 ISBN-13(EAN): 9783540184003
Издательство: Springer
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Цена: 3487.00 р.
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Описание: Emanating from the theory of C*-algebras and actions of tori theorem, this book discusses the problems that are outgrowths of random walk problems on lattices.

Автор: Alexander Prestel; Charles Delzell
Название: Positive Polynomials
ISBN: 3642074456 ISBN-13(EAN): 9783642074455
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed.