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Recent Advances In Polynomials
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Book Synopsis Recent Advances in Polynomials by : Kamal Shah
Download or read book Recent Advances in Polynomials written by Kamal Shah and published by BoD – Books on Demand. This book was released on 2022-05-18 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad overview of recent developments in polynomials and their applications. It includes eight chapters that address such topics as characteristic functions of polynomials, permutations, Gon?arov polynomials, irreducible factors, polynomial regression algorithms, and the use of polynomials in fractional calculus, and much more.
Book Synopsis Recent Advances in Orthogonal Polynomials, Special Functions, and Their Applications by : Jorge Arves
Download or read book Recent Advances in Orthogonal Polynomials, Special Functions, and Their Applications written by Jorge Arves and published by American Mathematical Soc.. This book was released on 2012-09-11 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 11th International Symposium on Orthogonal Polynomials, Special Functions, and their Applications, held August 29-September 2, 2011, at the Universidad Carlos III de Madrid in Leganes, Spain. The papers cover asymptotic properties of polynomials on curves of the complex plane, universality behavior of sequences of orthogonal polynomials for large classes of measures and its application in random matrix theory, the Riemann-Hilbert approach in the study of Pade approximation and asymptotics of orthogonal polynomials, quantum walks and CMV matrices, spectral modifications of linear functionals and their effect on the associated orthogonal polynomials, bivariate orthogonal polynomials, and optimal Riesz and logarithmic energy distribution of points. The methods used include potential theory, boundary values of analytic functions, Riemann-Hilbert analysis, and the steepest descent method.
Book Synopsis Commutative Algebra by : Marco Fontana
Download or read book Commutative Algebra written by Marco Fontana and published by . This book was released on 2014-07-31 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Polynomials and Applications by : K. K. Dewan
Download or read book Theory of Polynomials and Applications written by K. K. Dewan and published by Deep and Deep Publications. This book was released on 2007 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tribute to Mohammad Abdul Malik, 1939-2001, Indian mathematician; contributed articles.
Book Synopsis Orthogonal Polynomials by : Paul Nevai
Download or read book Orthogonal Polynomials written by Paul Nevai and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the NATO Advanced Study Institute on "Orthogonal Polynomials and Their Applications" held at The Ohio State University in Columbus, Ohio, U.S.A. between May 22,1989 and June 3,1989. The Advanced Study Institute primarily concentrated on those aspects of the theory and practice of orthogonal polynomials which surfaced in the past decade when the theory of orthogonal polynomials started to experience an unparalleled growth. This progress started with Richard Askey's Regional Confer ence Lectures on "Orthogonal Polynomials and Special Functions" in 1975, and subsequent discoveries led to a substantial revaluation of one's perceptions as to the nature of orthogonal polynomials and their applicability. The recent popularity of orthogonal polynomials is only partially due to Louis de Branges's solution of the Bieberbach conjecture which uses an inequality of Askey and Gasper on Jacobi polynomials. The main reason lies in their wide applicability in areas such as Pade approximations, continued fractions, Tauberian theorems, numerical analysis, probability theory, mathematical statistics, scattering theory, nuclear physics, solid state physics, digital signal processing, electrical engineering, theoretical chemistry and so forth. This was emphasized and convincingly demonstrated during the presentations by both the principal speakers and the invited special lecturers. The main subjects of our Advanced Study Institute included complex orthogonal polynomials, signal processing, the recursion method, combinatorial interpretations of orthogonal polynomials, computational problems, potential theory, Pade approximations, Julia sets, special functions, quantum groups, weighted approximations, orthogonal polynomials associated with root systems, matrix orthogonal polynomials, operator theory and group representations.
Book Synopsis Polynomial Optimization, Moments, and Applications by : Michal Kočvara
Download or read book Polynomial Optimization, Moments, and Applications written by Michal Kočvara and published by Springer Nature. This book was released on 2024-01-28 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomial optimization is a fascinating field of study that has revolutionized the way we approach nonlinear problems described by polynomial constraints. The applications of this field range from production planning processes to transportation, energy consumption, and resource control. This introductory book explores the latest research developments in polynomial optimization, presenting the results of cutting-edge interdisciplinary work conducted by the European network POEMA. For the past four years, experts from various fields, including algebraists, geometers, computer scientists, and industrial actors, have collaborated in this network to create new methods that go beyond traditional paradigms of mathematical optimization. By exploiting new advances in algebra and convex geometry, these innovative approaches have resulted in significant scientific and technological advancements. This book aims to make these exciting developments accessible to a wider audience by gathering high-quality chapters on these hot topics. Aimed at both aspiring and established researchers, as well as industry professionals, this book will be an invaluable resource for anyone interested in polynomial optimization and its potential for real-world applications.
Book Synopsis Current Trends in Symmetric Polynomials with Their Applications Ⅱ by : Taekyun Kim
Download or read book Current Trends in Symmetric Polynomials with Their Applications Ⅱ written by Taekyun Kim and published by MDPI. This book was released on 2021-03-19 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Polynomials written by Victor V. Prasolov and published by Springer Science & Business Media. This book was released on 2009-09-23 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers its topic in greater depth than the typical standard books on polynomial algebra
Book Synopsis Recent Advances in Computational and Applied Mathematics by : Theodore E. Simos
Download or read book Recent Advances in Computational and Applied Mathematics written by Theodore E. Simos and published by Springer Science & Business Media. This book was released on 2010-10-10 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-author contributed proceedings volume contains recent advances in several areas of Computational and Applied Mathematics. Each review is written by well known leaders of Computational and Applied Mathematics. The book gives a comprehensive account of a variety of topics including – Efficient Global Methods for the Numerical Solution of Nonlinear Systems of Two point Boundary Value Problems; Advances on collocation based numerical methods for Ordinary Differential Equations and Volterra Integral Equations; Basic Methods for Computing Special Functions, Melt Spinning: Optimal Control and Stability Issues; Brief survey on the CP methods for the Schrödinger equation; Symplectic Partitioned Runge-Kutta methods for the numerical integration of periodic and oscillatory problems. Recent Advances in Computational and Applied Mathematics is aimed at advanced undergraduates and researchers who are working in these fast moving fields.
Book Synopsis Chebyshev Polynomials by : J.C. Mason
Download or read book Chebyshev Polynomials written by J.C. Mason and published by CRC Press. This book was released on 2002-09-17 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particular importance in recent advances in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynomials has been published since 1990, and even that work focused primarily on the theoretical aspects. A broad, up-to-date treatment is long overdue. Providing highly readable exposition on the subject's state of the art, Chebyshev Polynomials is just such a treatment. It includes rigorous yet down-to-earth coverage of the theory along with an in-depth look at the properties of all four kinds of Chebyshev polynomials-properties that lead to a range of results in areas such as approximation, series expansions, interpolation, quadrature, and integral equations. Problems in each chapter, ranging in difficulty from elementary to quite advanced, reinforce the concepts and methods presented. Far from being an esoteric subject, Chebyshev polynomials lead one on a journey through all areas of numerical analysis. This book is the ideal vehicle with which to begin this journey and one that will also serve as a standard reference for many years to come.
Book Synopsis Orthogonal Polynomials by : Mama Foupouagnigni
Download or read book Orthogonal Polynomials written by Mama Foupouagnigni and published by Springer Nature. This book was released on 2020-03-11 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions of international and local experts from the African Institute for Mathematical Sciences (AIMS-Cameroon) and also from other local universities in the domain of orthogonal polynomials and applications. The topics addressed range from univariate to multivariate orthogonal polynomials, from multiple orthogonal polynomials and random matrices to orthogonal polynomials and Painlevé equations. The contributions are based on lectures given at the AIMS-Volkswagen Stiftung Workshop on Introduction of Orthogonal Polynomials and Applications held on October 5–12, 2018 in Douala, Cameroon. This workshop, funded within the framework of the Volkswagen Foundation Initiative "Symposia and Summer Schools", was aimed globally at promoting capacity building in terms of research and training in orthogonal polynomials and applications, discussions and development of new ideas as well as development and enhancement of networking including south-south cooperation.
Book Synopsis Recent Advances in Robust Speech Recognition Technology by : Javier Ramirez
Download or read book Recent Advances in Robust Speech Recognition Technology written by Javier Ramirez and published by Bentham Science. This book was released on 2011 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This E-book is a collection of articles that describe advances in speech recognition technology. Robustness in speech recognition refers to the need to maintain high speech recognition accuracy even when the quality of the input speech is degraded, or whe"
Book Synopsis The Numerical Solution of Systems of Polynomials Arising in Engineering and Science by : Andrew John Sommese
Download or read book The Numerical Solution of Systems of Polynomials Arising in Engineering and Science written by Andrew John Sommese and published by World Scientific. This book was released on 2005 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980's to the most recent research on positive dimensional sets.
Book Synopsis Applications and Computation of Orthogonal Polynomials by : Walter Gautschi
Download or read book Applications and Computation of Orthogonal Polynomials written by Walter Gautschi and published by Birkhäuser. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation, of interest to a wide audience of numerical analysts, engineers, and scientists. The applications address problems in applied mathematics as well as problems in engineering and the sciences.
Book Synopsis Notions of Positivity and the Geometry of Polynomials by : Petter Brändén
Download or read book Notions of Positivity and the Geometry of Polynomials written by Petter Brändén and published by Springer Science & Business Media. This book was released on 2011-09-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of solicited articles from a select group of mathematicians and physicists working at the interface between positivity and the geometry, combinatorics or analysis of polynomials of one or several variables. It is dedicated to the memory of Julius Borcea (1968-2009), a distinguished mathematician, Professor at the University of Stockholm. With his extremely original contributions and broad vision, his impact on the topics of the planned volume cannot be underestimated. All contributors knew or have exchanged ideas with Dr. Borcea, and their articles reflect, at least partially, his heritage.
Book Synopsis Rings, Polynomials, and Modules by : Marco Fontana
Download or read book Rings, Polynomials, and Modules written by Marco Fontana and published by Springer. This book was released on 2017-11-11 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of articles highlighting recent developments in commutative algebra and related non-commutative generalizations. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non-Noetherian ring theory, module theory and integer-valued polynomials along with connections to algebraic number theory, algebraic geometry, topology and homological algebra. Most of the eighteen contributions are authored by attendees of the two conferences in commutative algebra that were held in the summer of 2016: “Recent Advances in Commutative Ring and Module Theory,” Bressanone, Italy; “Conference on Rings and Polynomials” Graz, Austria. There is also a small collection of invited articles authored by experts in the area who could not attend either of the conferences. Following the model of the talks given at these conferences, the volume contains a number of comprehensive survey papers along with related research articles featuring recent results that have not yet been published elsewhere.
Book Synopsis Chromatic Polynomials and Chromaticity of Graphs by : F. M. Dong
Download or read book Chromatic Polynomials and Chromaticity of Graphs written by F. M. Dong and published by World Scientific. This book was released on 2005 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to comprehensively cover chromatic polynomialsof graphs. It includes most of the known results and unsolved problemsin the area of chromatic polynomials. Dividing the book into threemain parts, the authors take readers from the rudiments of chromaticpolynomials to more complex topics: the chromatic equivalence classesof graphs and the zeros and inequalities of chromatic polynomials.
