Schur-Convex Functions and Inequalities: Volume 1: Concepts, Properties, and Applications in Symmetric Function Inequalities, Huan-nan Shi

Автор: Macdonald I. G.
Название: Symmetric Functions and Hall Polynomials
ISBN: 0198739125 ISBN-13(EAN): 9780198739128
Издательство: Oxford Academ
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Цена: 57030.00 T
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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: Eric S. Egge
Название: An Introduction to Symmetric Functions and Their Combinatorics
ISBN: 1470448998 ISBN-13(EAN): 9781470448998
Издательство: Mare Nostrum (Eurospan)
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Цена: 49330.00 T
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Описание: This book is a reader-friendly introduction to the theory of symmetric functions, and it includes fundamental topics such as the monomial, elementary, homogeneous, and Schur function bases; the skew Schur functions; the Jacobi-Trudi identities; the involution $\omega$; the Hall inner product; Cauchy's formula; the RSK correspondence and how to implement it with both insertion and growth diagrams; the Pieri rules; the Murnaghan-Nakayama rule; Knuth equivalence; jeu de taquin; and the Littlewood-Richardson rule. The book also includes glimpses of recent developments and active areas of research, including Grothendieck polynomials, dual stable Grothendieck polynomials, Stanley's chromatic symmetric function, and Stanley's chromatic tree conjecture. Written in a conversational style, the book contains many motivating and illustrative examples. Whenever possible it takes a combinatorial approach, using bijections, involutions, and combinatorial ideas to prove algebraic results.The prerequisites for this book are minimal-familiarity with linear algebra, partitions, and generating functions is all one needs to get started. This makes the book accessible to a wide array of undergraduates interested in combinatorics.

Автор: Thomas Lam; Luc Lapointe; Jennifer Morse; Anne Sch
Название: k-Schur Functions and Affine Schubert Calculus
ISBN: 149390681X ISBN-13(EAN): 9781493906819
Издательство: Springer
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Цена: 93160.00 T
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Описание: 1. Introduction.- 2. Primer on k-Schur Functions.- 3. Stanley symmetric functions and Peterson algebras.- 4. Affine Schubert calculus.

Автор: thomson, Brian
Название: Symmetric Properties of Real Functions
ISBN: 0367402033 ISBN-13(EAN): 9780367402037
Издательство: Taylor&Francis
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Цена: 65320.00 T
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Описание: This work offers detailed coverage of every important aspect of symmetric structures in function of a single real variable, providing a historical perspective, proofs and useful methods for addressing problems. It provides assistance for real analysis problems involving symmetric derivatives, symmetric continuity and local symmetric structure of se

Автор: Constantin P. Niculescu; Lars-Erik Persson
Название: Convex Functions and Their Applications
ISBN: 3030086798 ISBN-13(EAN): 9783030086794
Издательство: Springer
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Цена: 46570.00 T
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Описание: This second edition provides a thorough introduction to contemporary convex function theory with many new results. A large variety of subjects are covered, from the one real variable case to some of the most advanced topics. The new edition includes considerably more material emphasizing the rich applicability of convex analysis to concrete examples. Chapters 4, 5, and 6 are entirely new, covering important topics such as the Hardy-Littlewood-P?lya-Schur theory of majorization, matrix convexity, and the Legendre-Fenchel-Moreau duality theory.This book can serve as a reference and source of inspiration to researchers in several branches of mathematics and engineering, and it can also be used as a reference text for graduate courses on convex functions and applications.

Автор: Daniel Alpay; Aad Dijksma; James Rovnyak; Hendrik
Название: Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
ISBN: 3034898231 ISBN-13(EAN): 9783034898232
Издательство: Springer
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Цена: 46570.00 T
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Описание: Generalized Schur functions are scalar- or operator-valued holomorphic functions such that certain associated kernels have a finite number of negative squares.

Автор: Fuzhen Zhang
Название: The Schur Complement and Its Applications
ISBN: 0387242716 ISBN-13(EAN): 9780387242712
Издательство: Springer
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Цена: 153720.00 T
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Описание: Describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. This title covers such topics as historical development, basic properties, eigenvalue and singular value inequalities, closure properties, and applications in statistics.

Автор: Huan-nan Shi
Название: Schur-Convex Functions and Inequalities: Volume 2: Applications in Inequalities
ISBN: 3110606577 ISBN-13(EAN): 9783110606577
Издательство: Walter de Gruyter
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Цена: 149940.00 T
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Описание: This two-volume work introduces the theory and applications of Schur-convex functions. The second volume mainly focuses on the application of Schur-convex functions in sequences inequalities, integral inequalities, mean value inequalities for two variables, mean value inequalities for multi-variables, and in geometric inequalities.

Автор: Remmel Jeffrey
Название: Counting with Symmetric Functions
ISBN: 3319236172 ISBN-13(EAN): 9783319236179
Издательство: Springer
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Цена: 79190.00 T
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Описание: Counting with Symmetric Functions

Автор: Kurt Luoto; Stefan Mykytiuk; Stephanie van Willige
Название: An Introduction to Quasisymmetric Schur Functions
ISBN: 1461472997 ISBN-13(EAN): 9781461472995
Издательство: Springer
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Цена: 60550.00 T
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Описание: An Introduction to Quasisymmetric Schur Functions is aimed at researchers and graduate students in algebraic combinatorics. The goal of this monograph is twofold. The first goal is to provide a reference text for the basic theory of Hopf algebras, in particular the Hopf algebras of symmetric, quasisymmetric and noncommutative symmetric functions and connections between them.

The second goal is to give a survey of results with respect to an exciting new basis of the Hopf algebra of quasisymmetric functions, whose combinatorics is analogous to that of the renowned Schur functions.