Positive Polynomials, Alexander Prestel; Charles Delzell

Автор: Macdonald I. G.
Название: Symmetric Functions and Hall Polynomials
ISBN: 0198739125 ISBN-13(EAN): 9780198739128
Издательство: Oxford Academ
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Описание: Reissued in the Oxford Classical Texts, this acclaimed second edition is nowadays the key resource on Macdonald polynomials, important for many research mathematicians.

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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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: Beals
Название: Special Functions and Orthogonal Polynomials
ISBN: 1107106982 ISBN-13(EAN): 9781107106987
Издательство: Cambridge Academ
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Описание: This book provides a graduate-level introduction to special functions - a very active area of research and application. Emphasis is given to unifying aspects and to motivation, making it ideal for self-study, while its comprehensive coverage of standard and newer topics and its extensive bibliography also make it a valuable reference.

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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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: 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: Jaime Gutierrez; Josef Schicho; Martin Weimann
Название: Computer Algebra and Polynomials
ISBN: 3319150804 ISBN-13(EAN): 9783319150802
Издательство: Springer
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Описание: An Invitation to Ehrhart Theory: Polyhedral Geometry and its Applications in Enumerative Combinatorics.- Moving Curve Ideals of Rational Plane Parametrizations.- Survey on Counting Special Types of Polynomials.- Orbit Closures of Linear Algebraic Groups.- Symbolic Solutions of First-Order Algebraic ODEs.- Ore Polynomials in Sage.- Giac and GeoGebra - Improved Grцbner Basis Computations.- Polar Varieties Revisited.- A Note on a Problem Proposed by Kim and Lisonek.- Fast Algorithms for Refined Parameterized Telescoping in Difference Fields.- Some Results on the Surjectivity of Surface Parametrizations.- Rational Normal Curves as Set-Theoretic Complete Intersections of Quadrics.

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: For The Calculation of Mathematical Tables
Название: Mathematical Tables Part-Volume A: Legendre Polynomials
ISBN: 1316611949 ISBN-13(EAN): 9781316611944
Издательство: Cambridge Academ
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Описание: Originally published in 1946, this book contains a series of tables of Legendre polynomials, created to meet the needs of researchers in various branches of mathematics and physics. The tables were largely designed by Leslie John Comrie (1893-1950), an astronomer who was integral to the development of mechanical computation.