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Polynomials and Polynomial Inequalities, Peter Borwein; Tamas Erdelyi


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Автор: Peter Borwein; Tamas Erdelyi
Название:  Polynomials and Polynomial Inequalities
ISBN: 9781461269021
Издательство: Springer
Классификация: ISBN-10: 1461269024
Обложка/Формат: Paperback
Страницы: 480
Вес: 0.69 кг.
Дата издания: 28.09.2012
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 25
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and computer science, has a corpus of theory arising from polynomials. The material explored in this book primarily concerns polynomials as they arise in analysis; it focuses on polynomials and rational functions of a single variable. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.
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 Muntz 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 conclude the book.


Shape-Preserving Approximation by Real and Complex Polynomials

Автор: Sorin G. Gal; George A. Anastassiou
Название: Shape-Preserving Approximation by Real and Complex Polynomials
ISBN: 0817647023 ISBN-13(EAN): 9780817647025
Издательство: Springer
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Цена: 93160.00 T
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Описание: This monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables. Such approximation methods are useful in many problems that arise in science and engineering and require an optimal mathematical representation of physical reality.

Bilinear Forms and Zonal Polynomials

Автор: Arak M. Mathai; Serge B. Provost; Takesi Hayakawa
Название: Bilinear Forms and Zonal Polynomials
ISBN: 0387945229 ISBN-13(EAN): 9780387945224
Издательство: Springer
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Цена: 102480.00 T
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Описание: Deals with bilinear forms in real random vectors and their generalizations. This monograph shows how zonal polynomials may be used to analyze such forms and thus to apply these concepts in a variety of statistical settings.

Notions of Positivity and the Geometry of Polynomials

Автор: Petter Br?nd?n; Mikael Passare; Mihai Putinar
Название: Notions of Positivity and the Geometry of Polynomials
ISBN: 3034803443 ISBN-13(EAN): 9783034803441
Издательство: Springer
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Цена: 93160.00 T
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Описание: Dedicated to the memory of distinguished mathematician Julius Borcea, this volume contains articles from a select group of mathematicians and physicists working at the interface between positivity and geometry, combinatorics and analysis of polynomials.

Mathematical Tables Part-Volume A: Legendre Polynomials

Автор: For The Calculation of Mathematical Tables
Название: Mathematical Tables Part-Volume A: Legendre Polynomials
ISBN: 1316611949 ISBN-13(EAN): 9781316611944
Издательство: Cambridge Academ
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Цена: 12660.00 T
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Описание: Originally published in 1946, this book contains a series of tables of Legendre polynomials, created to meet the needs of researchers in various branches of mathematics and physics. The tables were largely designed by Leslie John Comrie (1893-1950), an astronomer who was integral to the development of mechanical computation.

Orthogonal Polynomials and their Applications

Автор: Manuel Alfaro; Jesus S. Dehesa; Francisco J. Marce
Название: Orthogonal Polynomials and their Applications
ISBN: 3540194894 ISBN-13(EAN): 9783540194897
Издательство: Springer
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Цена: 32560.00 T
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Описание: The Segovia meeting set out to stimulate an exchange of ideas between experts in the area of orthogonal polynomials and its applications. This volume contains research papers as well as survey papers about fundamental questions in the field and its relationship with other fields such as group theory, Pade approximation and differential equations.

Polynomials

Автор: Dimitry Leites; Victor V. Prasolov
Название: Polynomials
ISBN: 3642039790 ISBN-13(EAN): 9783642039799
Издательство: Springer
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Цена: 65210.00 T
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Описание: Covers its topic in greater depth than the typical standard books on polynomial algebra


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