Topics In Polynomials

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Selected Topics On Polynomials

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Author : Andrzej Schinzel
language : en
Publisher:
Release Date : 1982

Selected Topics On Polynomials written by Andrzej Schinzel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.

Polynomials

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Author : Victor V. Prasolov
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-23

Polynomials written by Victor V. Prasolov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-23 with Mathematics categories.

From the reviews: "... Despite the appearance [...] in a series titled Algorithms and Computation of Mathematics, computation occupies only a small part of the monograph. It is best described as a useful reference for one's personal collection and a text for a full-year course given to graduate or even senior undergraduate students. [...] the book under review is worth purchasing for the library and possibly even for one's own collection. The author's interest in the history and development of this area is evident, and we have pleasant glimpses of progress over the last three centuries [...] the reader gains a synopsis of and guide to the literature ..." E.Barbeau, SIAM Review 47:3, 2005. "This is an exposition of polynomial theory and results, both classical and modern. [...] the volume is packed with results and proofs that are well organised thematically [...] What is unusual is to have a text that embraces and intermingles both analytic and algebraic aspects of the theory..." S.D.Cohen, Math.Reviews 2005

Topics In Polynomials Of One And Several Variables And Their Applications

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Author : Themistocles M. Rassias
language : en
Publisher: World Scientific
Release Date : 1993

Topics In Polynomials Of One And Several Variables And Their Applications written by Themistocles M. Rassias and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.

Topics In Polynomials

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Author : G. V. Milovanovi?
language : en
Publisher: World Scientific
Release Date : 1994

Topics In Polynomials written by G. V. Milovanovi? and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.

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.

Polynomials And Polynomial Inequalities

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Author : Peter Borwein
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-09-27

Polynomials And Polynomial Inequalities written by Peter Borwein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-27 with Mathematics categories.

After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.

Polynomials

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Author : E.J. Barbeau
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-09

Polynomials written by E.J. Barbeau and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-09 with Mathematics categories.

The book extends the high school curriculum and provides a backdrop for later study in calculus, modern algebra, numerical analysis, and complex variable theory. Exercises introduce many techniques and topics in the theory of equations, such as evolution and factorization of polynomials, solution of equations, interpolation, approximation, and congruences. The theory is not treated formally, but rather illustrated through examples. Over 300 problems drawn from journals, contests, and examinations test understanding, ingenuity, and skill. Each chapter ends with a list of hints; there are answers to many of the exercises and solutions to all of the problems. In addition, 69 "explorations" invite the reader to investigate research problems and related topics.

Complex Polynomials

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Author : T. Sheil-Small
language : en
Publisher: Cambridge University Press
Release Date : 2002-11-07

Complex Polynomials written by T. Sheil-Small and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-07 with Mathematics categories.

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.

Polynomial Identities In Algebras

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Author : Onofrio Mario Di Vincenzo
language : en
Publisher: Springer Nature
Release Date : 2021-03-22

Polynomial Identities In Algebras written by Onofrio Mario Di Vincenzo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-22 with Mathematics categories.

This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. The purpose of the book is to present the current state of the art in the theory of PI-algebras. The review of the classical results in the last few years has pointed out new perspectives for the development of the theory. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems. It is addressed to researchers in the field.

Number Theory And Polynomials

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Author : James Fraser McKee
language : en
Publisher: Cambridge University Press
Release Date : 2008-05-08

Number Theory And Polynomials written by James Fraser McKee and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-08 with Mathematics categories.

Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.

Interpolation And Approximation By Polynomials

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Author : George M. Phillips
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-04-08

Interpolation And Approximation By Polynomials written by George M. Phillips and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-08 with Mathematics categories.

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.