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Author : Günther Meinardus
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.65/5 ( download)
Download or read book Approximation of functions: theory and numerical methods, tr written by Günther Meinardus and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Günter Meinardus
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.09/5 ( download)
Download or read book Approximation of Functions: Theory and Numerical Methods written by Günter Meinardus and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. S. Varga
Publisher : SIAM
ISBN 13 : 0898710030
Total Pages : 81 pages
Book Rating : 4.38/5 ( download)
Download or read book Functional Analysis and Approximation Theory in Numerical Analysis written by R. S. Varga and published by SIAM. This book was released on 1971-01-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of results and techniques from functional analysis and approximation theory to the field of numerical analysis.
Author : Günter Meinardus
Publisher : Springer Science & Business Media
ISBN 13 : 3642856438
Total Pages : 207 pages
Book Rating : 4.33/5 ( download)
Download or read book Approximation of Functions: Theory and Numerical Methods written by Günter Meinardus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: for example, the so-called Lp approximation, the Bernstein approxima tion problem (approximation on the real line by certain entire functions), and the highly interesting studies of J. L. WALSH on approximation in the complex plane. I would like to extend sincere thanks to Professor L. COLLATZ for his many encouragements for the writing of this book. Thanks are equally due to Springer-Verlag for their ready agreement to my wishes, and for the excellent and competent composition of the book. In addition, I would like to thank Dr. W. KRABS, Dr. A. -G. MEYER and D. SCHWEDT for their very careful reading of the manuscript. Hamburg, March 1964 GUNTER MEINARDUS Preface to the English Edition This English edition was translated by Dr. LARRY SCHUMAKER, Mathematics Research Center, United States Army, The University of Wisconsin, Madison, from a supplemented version of the German edition. Apart from a number of minor additions and corrections and a few new proofs (e. g. , the new proof of JACKSON'S Theorem), it differs in detail from the first edition by the inclusion of a discussion of new work on comparison theorems in the case of so-called regular Haar systems (§ 6) and on Segment Approximation (§ 11). I want to thank the many readers who provided comments and helpful suggestions. My special thanks are due to the translator, to Springer-Verlag for their ready compliance with all my wishes, to Mr.
Author : Dunham Jackson
Publisher : American Mathematical Soc.
ISBN 13 : 082183892X
Total Pages : 186 pages
Book Rating : 4.21/5 ( download)
Download or read book The Theory of Approximation written by Dunham Jackson and published by American Mathematical Soc.. This book was released on 1930-12-31 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Michael Rassias
Publisher : World Scientific
ISBN 13 : 9814506052
Total Pages : 340 pages
Book Rating : 4.52/5 ( download)
Download or read book Functional Analysis, Approximation Theory And Numerical Analysis written by John Michael Rassias and published by World Scientific. This book was released on 1994-06-09 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of papers written by outstanding mathematicians. It deals with both theoretical and applied aspects of the mathematical contributions of BANACH, ULAM, and OSTROWSKI, which broaden the horizons of Functional Analysis, Approximation Theory, and Numerical Analysis in accordance with contemporary mathematical standards.
Author : Boris Obsieger
Publisher : CreateSpace
ISBN 13 : 9781500475826
Total Pages : 260 pages
Book Rating : 4.23/5 ( download)
Download or read book Numerical Methods written by Boris Obsieger and published by CreateSpace. This book was released on 2014-08-15 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Format: Full Color on White Paper, 7"x10" (256x178 mm), Paperback, 260 pages. Several other Colour and Black & White options are also avaliable. About the book: An excellent textbook established at several universities. Primarily written for students at technical universities, it is also a very useful handbook for engineers, PhD students and scientists. Now available in several forms at all continents. This textbook introduces the reader into various types of approximations of functions, which are defined either explicitly or by their values in the distinct set of points, as well as into the economisation of existing approximation formulas. Why the approximation of functions is so important? Simply, various functions (such as trigonometric functions and logarithms) cannot be calculated without approximation. Approximation formulas for some of these functions are already implemented in calculators and standard computer libraries, providing accuracy to all the bits in which a value is stored. High accuracy is usually not required and requires more numerical operations then necessary. Economised approximation formulas can provide the required accuracy with less numerical operations, and can make numerical algorithms faster, especially when such formulas are nested in loops. The other important use of approximation is in calculating functions that are defined by values at a chosen set of points. The book is divided into five chapters. The first chapter briefly explaines Maclaurin, Taylor or Padé expansion, principles of approximations with orthogonal series and principles of the least squares approximations. In the second chapter, various types of least squares polynomial approximations, particularly those using Legendre, Jacobi, Laguerre, Hermite, Zernike and Gram orthogonal polynomials are explained. The third chapter explains approximations with Fourier series, which are the base for developing approximations with Chebyshev polynomials (fourth chapter). Uniform approximation and further usage of Chebyshev polynomials in the almost uniform approximation, as well as in the economisation of the existing approximation formulas, are described in the fifth chapter. Practical application of the described approximation procedures is supported by 40 examples and 37 algorithms. In addition to its practical usage, the given text with 37 figures and 12 tables represents a valuable background for understanding, using, developing and applying various numerical methods, such as interpolation, numerical integration and solving partial differential equations, which are topics covered in the following volumes of the series Numerical Methods. Reviewed by: Prof. Maja Fosner, D.Sc., University of Maribor, Slovenia Prof. Damir Jelaska, D.Sc., University of Split, Croatia Prof. Valery Lysenko, D.Sc., Academic of the Russian Metrological Academy, Russian Research Institute for Metrological Service, Russia Prof. Iztok Potrc, D.Sc., University of Maribor. Slovenia Prof. Evgeny Pushkar, D.Sc., Member correspondent of the Russian Academy of Natural Sciences, Moscow State Industrial University, Russia Proof reading by: Jasenka Toplicanec, prof., Zagreb, Croatia
Author : Henry Leslie Garabedian
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.09/5 ( download)
Download or read book Approximation of Functions written by Henry Leslie Garabedian and published by . This book was released on 1965 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. G. Lorentz
Publisher : American Mathematical Soc.
ISBN 13 : 9780821840504
Total Pages : 208 pages
Book Rating : 4.09/5 ( download)
Download or read book Approximation of Functions written by G. G. Lorentz and published by American Mathematical Soc.. This book was released on 2005 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an easily accessible book on the approximation of functions--simple and without unnecessary details, but complete enough to include the main results of the theory. Except for a few sections, only functions of a real variable are treated. This work can be used as a textbook for graduate or advanced undergraduate courses or for self-study. Included in the volume are Notes at the end of each chapter, Problems, and a selected Bibliography.
Author : Theodore J. Rivlin
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.9A/5 ( download)
Download or read book An Introduction to the Approximation of Functions written by Theodore J. Rivlin and published by . This book was released on 1969 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation theory is an area of mathematics with important practical applications in computation. This volume provides an introduction to the theoretical foundations which underlie many of the algorithms of everyday use. For each method of approximation studied, at least one algorithm leading to actual numerical approximations is described.
