Current Trends In Symmetric Polynomials With Their Applications Ii
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Current Trends In Symmetric Polynomials With Their Applications
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Author : Taekyun Kim
language : en
Publisher: MDPI
Release Date : 2021-03-19
Current Trends In Symmetric Polynomials With Their Applications written by Taekyun Kim and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-19 with Mathematics categories.
The special issue contains research papers with various topics in many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theory, methods, and their application based on current and recent developing symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and contains the most recent advances made in the area of symmetric functions and polynomials.
Current Trends In Symmetric Polynomials With Their Applications Ii
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Author : Taekyun Kim
language : en
Publisher:
Release Date : 2021
Current Trends In Symmetric Polynomials With Their Applications Ii written by Taekyun Kim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
The special issue contains research papers with various topics in many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theory, methods, and their application based on current and recent developing symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and contains the most recent advances made in the area of symmetric functions and polynomials.
Current Trends In Symmetric Polynomials With Their Applications
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Author : Taekyun Kim
language : en
Publisher: MDPI
Release Date : 2019-10-15
Current Trends In Symmetric Polynomials With Their Applications written by Taekyun Kim and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-15 with Mathematics categories.
This Special Issue presents research papers on various topics within many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric functions and polynomials.
Current Trends In Symmetric Polynomials With Their Applications
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Author : Taekyun Kim
language : en
Publisher:
Release Date : 2019
Current Trends In Symmetric Polynomials With Their Applications written by Taekyun Kim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Electronic books categories.
This Special Issue presents research papers on various topics within many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric functions and polynomials.
Symmetric Functions And Polynomials Mathematics Essentials
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Author : Alma Adams
language : en
Publisher: NY Research Press
Release Date : 2023-09-26
Symmetric Functions And Polynomials Mathematics Essentials written by Alma Adams and has been published by NY Research Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-26 with Mathematics categories.
A function containing several variables that remains unchanged for any permutation of the variables is called a symmetric function. Polynomials are a type of function. A symmetric polynomial refers to a type of polynomial P in n variables such that if any of the variables are swapped with each other, it remains the same polynomial. There are various types of symmetric polynomials including power-sum symmetric polynomials, elementary symmetric polynomials, complete homogeneous symmetric polynomials, monomial symmetric polynomials, and Schur polynomials. Symmetric polynomials have numerous applications in various areas of combinatorics, representation theory, mathematical physics, and mathematics. They are frequently found in Newton's identities and Vieta's formula. This book includes some of the vital pieces of works being conducted across the world, on various topics related to symmetric functions and polynomials, and their applications. It will serve as a valuable source of reference for graduate and postgraduate students.
Orthogonal Polynomials Current Trends And Applications
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Author : Francisco Marcellán
language : en
Publisher: Springer Nature
Release Date : 2021
Orthogonal Polynomials Current Trends And Applications written by Francisco Marcellán and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Analysis (Mathematics). categories.
The present volume contains the Proceedings of the Seventh Iberoamerican Workshop in Orthogonal Polynomials and Applications (EIBPOA, which stands for Encuentros Iberoamericanos de Polinomios Ortogonales y Aplicaciones, in Spanish), held at the Universidad Carlos III de Madrid, Leganés, Spain, from July 3 to July 6, 2018. These meetings were mainly focused to encourage research in the fields of approximation theory, special functions, orthogonal polynomials and their applications among graduate students as well as young researchers from Latin America, Spain and Portugal. The presentation of the state of the art as well as some recent trends constitute the aim of the lectures delivered in the EIBPOA by worldwide recognized researchers in the above fields. In this volume, several topics on the theory of polynomials orthogonal with respect to different inner products are analyzed, both from an introductory point of view for a wide spectrum of readers without an expertise in the area, as well as the emphasis on their applications in topics as integrable systems, random matrices, numerical methods in differential and partial differential equations, coding theory, and signal theory, among others.
Symmetric Functions And Orthogonal Polynomials
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Author : Ian Grant Macdonald
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Symmetric Functions And Orthogonal Polynomials written by Ian Grant Macdonald and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
One of the most classical areas of algebra, the theory of symmetric functions and orthogonal polynomials, has long been known to be connected to combinatorics, representation theory and other branches of mathematics. Written by perhaps the most famous author on the topic, this volume explains some of the current developments regarding these connections. It is based on lectures presented by the author at Rutgers University. Specifically, he gives recent results on orthogonal polynomials associated with affine Hecke algebras, surveying the proofs of certain famous combinatorial conjectures.
Counting With Symmetric Functions
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Author : Jeffrey Remmel
language : en
Publisher: Birkhäuser
Release Date : 2015-11-28
Counting With Symmetric Functions written by Jeffrey Remmel and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-28 with Mathematics categories.
This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics. It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included throughout, along with full solutions, to illustrate concepts and also highlight many interesting mathematical ideas. The text begins by introducing fundamental combinatorial objects such as permutations and integer partitions, as well as generating functions. Symmetric functions are considered in the next chapter, with a unique emphasis on the combinatorics of the transition matrices between bases of symmetric functions. Chapter 3 uses this introductory material to describe how to find an assortment of generating functions for permutation statistics, and then these techniques are extended to find generating functions for a variety of objects in Chapter 4. The next two chapters present the Robinson-Schensted-Knuth algorithm and a method for proving Pólya’s enumeration theorem using symmetric functions. Chapters 7 and 8 are more specialized than the preceding ones, covering consecutive pattern matches in permutations, words, cycles, and alternating permutations and introducing the reciprocity method as a way to define ring homomorphisms with desirable properties. Counting with Symmetric Functions will appeal to graduate students and researchers in mathematics or related subjects who are interested in counting methods, generating functions, or symmetric functions. The unique approach taken and results and exercises explored by the authors make it an important contribution to the mathematical literature.
Symmetric Functions And Hall Polynomials
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Author : Ian Grant Macdonald
language : en
Publisher: Oxford University Press, USA
Release Date : 1979
Symmetric Functions And Hall Polynomials written by Ian Grant Macdonald and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Business & Economics categories.
This new and much expanded edition of a well-received book remains the only text available on the subject of symmetric functions and Hall polynomials. There are new sections in almost every chapter, and many new examples have been included throughout.
Symmetric Functions
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Author : Evgeny Smirnov
language : en
Publisher: Springer Nature
Release Date : 2024
Symmetric Functions written by Evgeny Smirnov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Electronic books categories.
This book is devoted to combinatorial aspects of the theory of symmetric functions. This rich, interesting and highly nontrivial part of algebraic combinatorics has numerous applications to algebraic geometry, topology, representation theory and other areas of mathematics. Along with classical material, such as Schur polynomials and Young diagrams, less standard subjects are also covered, including Schubert polynomials and Danilov–Koshevoy arrays. Requiring only standard prerequisites in algebra and discrete mathematics, the book will be accessible to undergraduate students and can serve as a basis for a semester-long course. It contains more than a hundred exercises of various difficulty, with hints and solutions. Primarily aimed at undergraduate and graduate students, it will also be of interest to anyone who wishes to learn more about modern algebraic combinatorics and its usage in other areas of mathematics.