Author: Gradimir V Milovanovic
Publisher: World Scientific
ISBN: 9814506486
Category : Science
Languages : en
Pages : 844
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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.
Author: Victor V. Prasolov
Publisher: Springer Science & Business Media
ISBN: 3642039804
Category : Mathematics
Languages : en
Pages : 311
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Book Description
Covers its topic in greater depth than the typical standard books on polynomial algebra
Author: Themistocles M. Rassias
Publisher: World Scientific
ISBN: 9789810206147
Category : Mathematics
Languages : en
Pages : 658
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Book Description
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.
Author: Andrzej Schinzel
Publisher:
ISBN: 9780472751945
Category :
Languages : en
Pages : 0
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Book Description
Complete proofs of both new results and original work on polynomials and Diophantine equations are presented here for the first time in book form. Although the results are technical, they will be of interest to algebraists and those interested in algebraic number theory.
Author: Theodore S Chihara
Publisher: Courier Corporation
ISBN: 0486479293
Category : Mathematics
Languages : en
Pages : 276
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Book Description
"This concise introduction covers general elementary theory related to orthogonal polynomials and assumes only a first undergraduate course in real analysis. Topics include the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula and properties of orthogonal polynomials, special functions, and some specific systems of orthogonal polynomials. 1978 edition"--
Author: E.J. Barbeau
Publisher: Springer Science & Business Media
ISBN: 9780387406275
Category : Mathematics
Languages : en
Pages : 484
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Book Description
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.
Author: George M. Phillips
Publisher: Springer Science & Business Media
ISBN: 0387216820
Category : Mathematics
Languages : en
Pages : 325
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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.
Author: Andrzej Schinzel
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Author: G. V. Milovanovi?
Publisher: World Scientific
ISBN: 9789810204990
Category : Science
Languages : en
Pages : 842
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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.
Author: Graham Everest
Publisher: Springer Science & Business Media
ISBN: 1447138988
Category : Mathematics
Languages : en
Pages : 217
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Book Description
The main theme of this book is the theory of heights as they appear in various guises. This includes a large body of results on Mahlers measure of the height of a polynomial. The authors'approach is very down to earth as they cover the rationals, assuming no prior knowledge of elliptic curves. The chapters include examples and particular computations, with all special calculation included so as to be self-contained. The authors devote space to discussing Mahlers measure and to giving some convincing and original examples to explain this phenomenon. XXXXXXX NEUER TEXT The main theme of this book is the theory of heights as it appears in various guises. To this §End.txt.Int.:, it examines the results of Mahlers measure of the height of a polynomial, which have never before appeared in book form. The authors take a down-to-earth approach that includes convincing and original examples. The book uncovers new and interesting connections between number theory and dynamics and will be interesting to researchers in both number theory and nonlinear dynamics.
