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Author : David Ferguson
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (89 download)
Download or read book The Question of Uniqueness for G.D. Birkoff Interpolation Problems written by David Ferguson and published by . This book was released on 1968 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.S. Oliveira
Publisher : Springer Science & Business Media
ISBN 13 : 9780817631147
Total Pages : 648 pages
Book Rating : 4.6/5 (311 download)
Download or read book Selected Papers on Algebra and Topology by Garrett Birkhoff written by J.S. Oliveira and published by Springer Science & Business Media. This book was released on 1987-01-01 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume of reprints are what I consider to be my most interesting and influential papers on algebra and topology. To tie them together, and to place them in context, I have supplemented them by a series of brief essays sketching their historieal background (as I see it). In addition to these I have listed some subsequent papers by others which have further developed some of my key ideas. The papers on universal algebra, lattice theory, and general topology collected in the present volume concern ideas which have become familiar to all working mathematicians. It may be helpful to make them readily accessible in one volume. I have tried in the introduction to each part to state the most significant features of ea ch paper reprinted there, and to indieate later developments. The background that shaped and stimulated my early work on universal algebra, lattice theory, and topology may be of some interest. As a Harvard undergraduate in 1928-32, I was encouraged to do independent reading and to write an original thesis. My tutorial reading included de la Vallee-Poussin's beautiful Cours d'Analyse Infinitesimale, Hausdorff's Grundzüge der Mengenlehre, and Frechet's Espaces Abstraits. In addition, I discovered Caratheodory's 1912 paper "Vber das lineare Mass von Punktmengen" and Hausdorff's 1919 paper on "Dimension und Ausseres Mass," and derived much inspiration from them. A fragment of my thesis, analyzing axiom systems for separable metrizable spaces, was later published [2]. * This background led to the work summarized in Part IV.
Author : P. M. Prenter
Publisher : Courier Corporation
ISBN 13 : 0486783499
Total Pages : 338 pages
Book Rating : 4.4/5 (867 download)
Download or read book Splines and Variational Methods written by P. M. Prenter and published by Courier Corporation. This book was released on 2013-11-26 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the clearest available introductions to variational methods, this text requires only a minimal background in calculus and linear algebra. Its self-contained treatment explains the application of theoretic notions to the kinds of physical problems that engineers regularly encounter. The text’s first half concerns approximation theoretic notions, exploring the theory and computation of one- and two-dimensional polynomial and other spline functions. Later chapters examine variational methods in the solution of operator equations, focusing on boundary value problems in one and two dimensions. Additional topics include least squares and other Galerkin methods. Many helpful definitions, examples, and exercises appear throughout the book. A classic reference in spline theory, this volume will benefit experts as well as students of engineering and mathematics.
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Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1969 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald A. DeVore
Publisher : Springer Science & Business Media
ISBN 13 : 9783540506270
Total Pages : 468 pages
Book Rating : 4.5/5 (62 download)
Download or read book Constructive Approximation written by Ronald A. DeVore and published by Springer Science & Business Media. This book was released on 1993-11-04 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coupled with its sequel, this book gives a connected, unified exposition of Approximation Theory for functions of one real variable. It describes spaces of functions such as Sobolev, Lipschitz, Besov rearrangement-invariant function spaces and interpolation of operators. Other topics include Weierstrauss and best approximation theorems, properties of polynomials and splines. It contains history and proofs with an emphasis on principal results.
Author : Rudolph A. Lorentz
Publisher : Springer Science & Business Media
ISBN 13 : 9780817637101
Total Pages : 606 pages
Book Rating : 4.6/5 (371 download)
Download or read book Mathematics from Leningrad to Austin written by Rudolph A. Lorentz and published by Springer Science & Business Media. This book was released on 1997-07-15 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This "Select a" contains approximately two thirds of the papers my 1932 to 1994. These papers are divided into four fields. father wrote from The first volume contains the papers on 1) Summability and Number Theory and 2) Interpolation. The second volume contains the fields 3) Real and Functional Analysis and 4) Approximation Theory. Each of these four groups of papers is introduced by a review of the contents and significance, respectively of the impact of these papers. The first volume contains, in addition, an autobiography, a complete list of publications, a list of doctoral students and four unpublished essays on mathematics in general: a) A report on the University of Leningrad b) On the work of the mathematical mind c) Proofs in Mathematics d) About Mathematical books. The report on the University of Leningrad, written in the late '40's, is a unique historical document which is still of current interest for several reasons. It is of interest for professional reasons since it contains a com plete description of a mathematics majors' curriculum through his entire course of studies. From it one can see both the changes and invariants of course material as well as the students' course load. Then one can also see the consequences of admittedly extreme political intervention in uni versity affairs. Today we use the term "politically correct", but in those times being politically correct was a matter of life and death.
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1982-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ying Guang Shi
Publisher : Nova Publishers
ISBN 13 : 9781590336922
Total Pages : 266 pages
Book Rating : 4.3/5 (369 download)
Download or read book Theory of Birkhoff Interpolation written by Ying Guang Shi and published by Nova Publishers. This book was released on 2003 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interpolation by polynomials is a very old subject. The first systematic work was due to Newton in the seventeenth century. Lagrange developed his formula only a little later. In 1878 Hermie introduced so called Hermite interpolation. In 1906 Birkhoff published the first paper on lacunary (or Birkhoff) interpolation whose information about a function and its derivatives is irregular. It turns out that the Birkhoff interpolation problem is very difficult. The reasons are: the solvability of the problem is equivalent to non-singularity of the coefficient matrix of higher order, which of course is not easy to determine in general; should the solvability of the problem be known, it is difficult to get an explicit representation of the solution; although an explicit representation of the solution in some special cases can be acquired, it is usually complicated and is hard to study. This book is largely self-contained. It begins with the definitions and elementary properties of Birkhoff interpolation, to be followed by the formulating of the fundamental theorems for regularity and comparison theorems; also investigated are fundamental polynomials of interpolation in details. Interpolation follow.
Author : Rolf Jeltsch
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)
Download or read book Multistep Multiderivative Methods for the Numerical Solution of Initial Value Problems of Ordinary Differential Equations written by Rolf Jeltsch and published by . This book was released on 1976 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 772 pages
Book Rating : 4.F/5 ( download)
Download or read book Revue roumaine de mathématiques pures et appliquées written by and published by . This book was released on 1979 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 730 pages
Book Rating : 4.X/5 (1 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 1985 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 790 pages
Book Rating : 4.:/5 (7 download)
Download or read book CMUC written by and published by . This book was released on 2004 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1096 pages
Book Rating : 4.3/5 (121 download)
Download or read book SIAM Journal on Numerical Analysis written by and published by . This book was released on 2000 with total page 1096 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Scott Nelson Kersey
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.:/5 (89 download)
Download or read book A Minimizing Spline Curve Under Near-interpolatory Constraints written by Scott Nelson Kersey and published by . This book was released on 1999 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.X/5 (4 download)
Download or read book SIAM-AMS Proceedings written by and published by . This book was released on 1969 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Anastassiou
Publisher : CRC Press
ISBN 13 : 9780824787080
Total Pages : 558 pages
Book Rating : 4.7/5 (87 download)
Download or read book Approximation Theory written by George Anastassiou and published by CRC Press. This book was released on 1992-04-24 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the March 1991 annual conference of the Southeastern Approximation Theorists, in Memphis, Tenn. The 34 papers discuss topics of interest to graduate and professional numerical analysts, applied and industrial mathematicians, engineers, and other scientists such as splines
Author : Hrushikesh Narhar Mhaskar
Publisher : CRC Press
ISBN 13 : 9780849309397
Total Pages : 580 pages
Book Rating : 4.3/5 (93 download)
Download or read book Fundamentals of Approximation Theory written by Hrushikesh Narhar Mhaskar and published by CRC Press. This book was released on 2000 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of approximation theory has become so vast that it intersects with every other branch of analysis and plays an increasingly important role in applications in the applied sciences and engineering. Fundamentals of Approximation Theory presents a systematic, in-depth treatment of some basic topics in approximation theory designed to emphasize the rich connections of the subject with other areas of study. With an approach that moves smoothly from the very concrete to more and more abstract levels, this text provides an outstanding blend of classical and abstract topics. The first five chapters present the core of information that readers need to begin research in this domain. The final three chapters the authors devote to special topics-splined functions, orthogonal polynomials, and best approximation in normed linear spaces- that illustrate how the core material applies in other contexts and expose readers to the use of complex analytic methods in approximation theory. Each chapter contains problems of varying difficulty, including some drawn from contemporary research. Perfect for an introductory graduate-level class, Fundamentals of Approximation Theory also contains enough advanced material to serve more specialized courses at the doctoral level and to interest scientists and engineers.
