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| Author | : George M. Phillips |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 325 |
| Release | : 2003-04-08 |
| Genre | : Mathematics |
| ISBN | : 0387002154 |
Download Interpolation and Approximation by Polynomials Book in PDF, ePub and Kindle
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 | : Philip J. Davis |
| Publisher | : Courier Corporation |
| Total Pages | : 418 |
| Release | : 1975-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486624951 |
Download Interpolation and Approximation Book in PDF, ePub and Kindle
Intermediate-level survey covers remainder theory, convergence theorems, and uniform and best approximation. Other topics include least square approximation, Hilbert space, orthogonal polynomials, theory of closure and completeness, and more. 1963 edition.
| Author | : Richard S. Varga |
| Publisher | : |
| Total Pages | : 148 |
| Release | : 1982 |
| Genre | : Approximation theory |
| ISBN | : |
Download Topics in Polynomial and Rational Interpolation and Approximation Book in PDF, ePub and Kindle
| Author | : N. K. Govil |
| Publisher | : CRC Press |
| Total Pages | : 476 |
| Release | : 2006-07-20 |
| Genre | : Mathematics |
| ISBN | : 1420011383 |
Download Frontiers in Interpolation and Approximation Book in PDF, ePub and Kindle
Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolation theory. Some topics covered are Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, various measures of the smoothness of functions, and the equivalence of Hausdorff continuity and pointwise Hausdorff-Lipschitz continuity of a restricted center multifunction. The book also provides basic facts about interpolation, discussing classes of entire functions such as algebraic polynomials, trigonometric polynomials, and nonperiodic transcendental entire functions. Containing both original research and comprehensive surveys, this book provides researchers and graduate students with important results of interpolation and approximation.
| Author | : George M. Phillips |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 325 |
| Release | : 2006-04-06 |
| Genre | : Mathematics |
| ISBN | : 0387216820 |
Download Interpolation and Approximation by Polynomials Book in PDF, ePub and Kindle
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 | : M. J. D. Powell |
| Publisher | : Cambridge University Press |
| Total Pages | : 356 |
| Release | : 1981-03-31 |
| Genre | : Mathematics |
| ISBN | : 9780521295147 |
Download Approximation Theory and Methods Book in PDF, ePub and Kindle
Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.
| Author | : P.R. Graves-Morris |
| Publisher | : Springer |
| Total Pages | : 541 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540391134 |
Download Rational Approximation and Interpolation Book in PDF, ePub and Kindle
| Author | : Giorgio Celant |
| Publisher | : John Wiley & Sons |
| Total Pages | : 254 |
| Release | : 2016-03-31 |
| Genre | : Mathematics |
| ISBN | : 1119292298 |
Download Interpolation and Extrapolation Optimal Designs V1 Book in PDF, ePub and Kindle
This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields. In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions. The appendices provide the reader with material to accompany the proofs discussed throughout the book.
| Author | : J. L. Walsh |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 418 |
| Release | : 1935-12-31 |
| Genre | : Mathematics |
| ISBN | : 0821810200 |
Download Interpolation and Approximation by Rational Functions in the Complex Domain Book in PDF, ePub and Kindle
The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.
| Author | : Lloyd N. Trefethen |
| Publisher | : SIAM |
| Total Pages | : 375 |
| Release | : 2019-01-01 |
| Genre | : Mathematics |
| ISBN | : 1611975948 |
Download Approximation Theory and Approximation Practice, Extended Edition Book in PDF, ePub and Kindle
This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the fields most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.
