Author: Faruk Özger
Publisher: BoD – Books on Demand
ISBN: 1837694966
Category : Mathematics
Languages : en
Pages : 196
Book Description
Polynomials are incredibly useful mathematical tools that have a wide array of applications. This book provides a comprehensive overview of polynomials and recent developments in the field. It includes ten chapters that address such topics as polynomials-based cyclic coding, Hermite polynomials, Routh polynomials, fitting parametric polynomials with control point coefficients, the thermoelastic wave model, and much more.
Recent Research in Polynomials
Author: Faruk Özger
Publisher: BoD – Books on Demand
ISBN: 1837694966
Category : Mathematics
Languages : en
Pages : 196
Book Description
Polynomials are incredibly useful mathematical tools that have a wide array of applications. This book provides a comprehensive overview of polynomials and recent developments in the field. It includes ten chapters that address such topics as polynomials-based cyclic coding, Hermite polynomials, Routh polynomials, fitting parametric polynomials with control point coefficients, the thermoelastic wave model, and much more.
Publisher: BoD – Books on Demand
ISBN: 1837694966
Category : Mathematics
Languages : en
Pages : 196
Book Description
Polynomials are incredibly useful mathematical tools that have a wide array of applications. This book provides a comprehensive overview of polynomials and recent developments in the field. It includes ten chapters that address such topics as polynomials-based cyclic coding, Hermite polynomials, Routh polynomials, fitting parametric polynomials with control point coefficients, the thermoelastic wave model, and much more.
Current Trends in Symmetric Polynomials with Their Applications Ⅱ
Author: Taekyun Kim
Publisher: MDPI
ISBN: 3036503609
Category : Mathematics
Languages : en
Pages : 206
Book Description
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.
Publisher: MDPI
ISBN: 3036503609
Category : Mathematics
Languages : en
Pages : 206
Book Description
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.
Polynomials
Author: Cheon Seoung Ryoo
Publisher: BoD – Books on Demand
ISBN: 183880269X
Category : Mathematics
Languages : en
Pages : 174
Book Description
Polynomials are well known for their ability to improve their properties and for their applicability in the interdisciplinary fields of engineering and science. Many problems arising in engineering and physics are mathematically constructed by differential equations. Most of these problems can only be solved using special polynomials. Special polynomials and orthonormal polynomials provide a new way to analyze solutions of various equations often encountered in engineering and physical problems. In particular, special polynomials play a fundamental and important role in mathematics and applied mathematics. Until now, research on polynomials has been done in mathematics and applied mathematics only. This book is based on recent results in all areas related to polynomials. Divided into sections on theory and application, this book provides an overview of the current research in the field of polynomials. Topics include cyclotomic and Littlewood polynomials; Descartes' rule of signs; obtaining explicit formulas and identities for polynomials defined by generating functions; polynomials with symmetric zeros; numerical investigation on the structure of the zeros of the q-tangent polynomials; investigation and synthesis of robust polynomials in uncertainty on the basis of the root locus theory; pricing basket options by polynomial approximations; and orthogonal expansion in time domain method for solving Maxwell's equations using paralleling-in-order scheme.
Publisher: BoD – Books on Demand
ISBN: 183880269X
Category : Mathematics
Languages : en
Pages : 174
Book Description
Polynomials are well known for their ability to improve their properties and for their applicability in the interdisciplinary fields of engineering and science. Many problems arising in engineering and physics are mathematically constructed by differential equations. Most of these problems can only be solved using special polynomials. Special polynomials and orthonormal polynomials provide a new way to analyze solutions of various equations often encountered in engineering and physical problems. In particular, special polynomials play a fundamental and important role in mathematics and applied mathematics. Until now, research on polynomials has been done in mathematics and applied mathematics only. This book is based on recent results in all areas related to polynomials. Divided into sections on theory and application, this book provides an overview of the current research in the field of polynomials. Topics include cyclotomic and Littlewood polynomials; Descartes' rule of signs; obtaining explicit formulas and identities for polynomials defined by generating functions; polynomials with symmetric zeros; numerical investigation on the structure of the zeros of the q-tangent polynomials; investigation and synthesis of robust polynomials in uncertainty on the basis of the root locus theory; pricing basket options by polynomial approximations; and orthogonal expansion in time domain method for solving Maxwell's equations using paralleling-in-order scheme.
Topics In Polynomials: Extremal Problems, Inequalities, Zeros
Author: Gradimir V Milovanovic
Publisher: World Scientific
ISBN: 9814506486
Category : Science
Languages : en
Pages : 844
Book Description
The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.
Publisher: World Scientific
ISBN: 9814506486
Category : Science
Languages : en
Pages : 844
Book Description
The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.
Recent Advances in Polynomials
Author: Kamal Shah
Publisher: BoD – Books on Demand
ISBN: 183969758X
Category : Mathematics
Languages : en
Pages : 168
Book Description
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.
Publisher: BoD – Books on Demand
ISBN: 183969758X
Category : Mathematics
Languages : en
Pages : 168
Book Description
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.
Polynomial Root-finding and Polynomiography
Author: Bahman Kalantari
Publisher: World Scientific
ISBN: 9812700595
Category : Computers
Languages : en
Pages : 492
Book Description
This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a creative and novel computer visualization that renders spectacular images of a polynomial equation. Polynomiography will not only pave the way for new applications of polynomials in science and mathematics, but also in art and education. The book presents a thorough development of the basic family, arguably the most fundamental family of iteration functions, deriving many surprising and novel theoretical and practical applications such as: algorithms for approximation of roots of polynomials and analytic functions, polynomiography, bounds on zeros of polynomials, formulas for the approximation of Pi, and characterizations or visualizations associated with a homogeneous linear recurrence relation. These discoveries and a set of beautiful images that provide new visions, even of the well-known polynomials and recurrences, are the makeup of a very desirable book. This book is a must for mathematicians, scientists, advanced undergraduates and graduates, but is also for anyone with an appreciation for the connections between a fantastically creative art form and its ancient mathematical foundations.
Publisher: World Scientific
ISBN: 9812700595
Category : Computers
Languages : en
Pages : 492
Book Description
This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a creative and novel computer visualization that renders spectacular images of a polynomial equation. Polynomiography will not only pave the way for new applications of polynomials in science and mathematics, but also in art and education. The book presents a thorough development of the basic family, arguably the most fundamental family of iteration functions, deriving many surprising and novel theoretical and practical applications such as: algorithms for approximation of roots of polynomials and analytic functions, polynomiography, bounds on zeros of polynomials, formulas for the approximation of Pi, and characterizations or visualizations associated with a homogeneous linear recurrence relation. These discoveries and a set of beautiful images that provide new visions, even of the well-known polynomials and recurrences, are the makeup of a very desirable book. This book is a must for mathematicians, scientists, advanced undergraduates and graduates, but is also for anyone with an appreciation for the connections between a fantastically creative art form and its ancient mathematical foundations.
Structured Matrices and Polynomials
Author: Victor Y. Pan
Publisher: Springer Science & Business Media
ISBN: 1461201292
Category : Mathematics
Languages : en
Pages : 299
Book Description
This user-friendly, engaging textbook makes the material accessible to graduate students and new researchers who wish to study the rapidly exploding area of computations with structured matrices and polynomials. The book goes beyond research frontiers and, apart from very recent research articles, includes previously unpublished results.
Publisher: Springer Science & Business Media
ISBN: 1461201292
Category : Mathematics
Languages : en
Pages : 299
Book Description
This user-friendly, engaging textbook makes the material accessible to graduate students and new researchers who wish to study the rapidly exploding area of computations with structured matrices and polynomials. The book goes beyond research frontiers and, apart from very recent research articles, includes previously unpublished results.
Current Trends in Symmetric Polynomials with their Applications
Author: Taekyun Kim
Publisher: MDPI
ISBN: 3039216201
Category : Mathematics
Languages : en
Pages : 238
Book Description
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.
Publisher: MDPI
ISBN: 3039216201
Category : Mathematics
Languages : en
Pages : 238
Book Description
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.
Polynomials
Author: Victor V. Prasolov
Publisher: Springer Science & Business Media
ISBN: 3642039804
Category : Mathematics
Languages : en
Pages : 311
Book Description
Covers its topic in greater depth than the typical standard books on polynomial algebra
Publisher: Springer Science & Business Media
ISBN: 3642039804
Category : Mathematics
Languages : en
Pages : 311
Book Description
Covers its topic in greater depth than the typical standard books on polynomial algebra
Interpolation and Approximation by Polynomials
Author: George M. Phillips
Publisher: Springer Science & Business Media
ISBN: 0387216820
Category : Mathematics
Languages : en
Pages : 325
Book Description
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. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text. The author is well known for his clarity of writing and his many contributions as a researcher in approximation theory.
Publisher: Springer Science & Business Media
ISBN: 0387216820
Category : Mathematics
Languages : en
Pages : 325
Book Description
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. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text. The author is well known for his clarity of writing and his many contributions as a researcher in approximation theory.