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Selected Topics in Approximation and Computationby Marek Kowalski; Christopher Sikorski; Frank Stenger
Oxford University Press 1995; US$ 215.00Selected Topics in Approximation and Computation addresses the relationship between modern approximation theory and computational methods. The text is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including Sinc methods, elliptic function methods, and positive operator approximation methods. It also provides an excellent summary of worst case analysis in information based complexity. It relates optimal computational methods with the theory of s-numbers and n-widths. It can serve as a text for senior-graduate courses in computer science and applied mathematics, and also as a reference for professionals. more...
Approximation Techniques for Engineersby Louis Komzsik
CRC Press 2006; US$ 99.95Offers a collection of methods that provide an approximate result for engineering computations. Divided into two parts, this book begins with the classical iteration methods, followed by spline interpolations and least-square approximations. It also discusses various approximations of functions with their numerical differentiation and integration. more...
Ten Mathematical Essays on Approximation in Analysis and Topologyby J. Ferrera; J. Lopez-Gomez; F.R. Ruiz del Portal
Elsevier 2005; US$ 205.00This book collects 10 mathematical essays on approximation in Analysis and Topology by some of the most influent mathematicians of the last third of the 20th Century. Besides the papers contain the very ultimate results in each of their respective fields, many of them also include a series of historical remarks about the state of mathematics at the time they found their most celebrated results, as well as some of their personal circumstances originating them, which makes particularly attractive the book for all scientist interested in these fields, from beginners to experts. These gem pieces of mathematical intra-history should delight to many forthcoming generations of mathematicians, who will enjoy some of the most fruitful mathematics of... more...
Methods of Approximation Theoryby A. I. Stepanets
Walter de Gruyter, Inc. 2005; US$ 407.00The key point of the monograph is the classification of periodic functions introduced by the author and developed methods that enable one to solve, within the framework of a common approach, traditional problems of approximation theory for large collections of periodic functions. The main results are fairly complete and are presented in the form of either exact or asymptotically exact equalities. The present monograph is, in many respects, a store of knowledge accumulated in approximation theory by the beginning of the third millennium and serving for its further development. more...
Approximation by Algebraic Numbersby Yann Bugeaud
Cambridge University Press 2004; US$ 53.00An accessible and broad account of the approximation and classification of real numbers suited for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the comprehensive list of more than 600 references. more...
Scattered Data Approximationby Holger Wendland
Cambridge University Press 2004; US$ 54.00A complete self-contained introduction to the theory of scattered data approximation. Written with graduates and researchers in mind, the text brings together much of the necessary background material into a single treatment and provides students with complete proofs to the theory developed within. more...
Trends and Applications in Constructive Approximationby Detlef H. Mache; József Szabados; Marcel G. de Bruin
Springer 2005; US$ 179.00This volume contains contributions from international experts in the fields of constructive approximation. This area has reached out to encompass the computational and approximation-theoretical aspects of various interesting fields in applied mathematics such as (multivariate) approximation methods, quasi-interpolation,and approximation by (orthogonal) polynomials, as well as the modern mathematical developments in neuro fuzzy approximation, RBF-networks, industrial and engineering applications. more...
Algorithms for Approximationby Armin Iske; Jeremy Levesley
Springer 2007; US$ 129.00Approximation methods are vital in many challenging applications of computational science and engineering. This work is a collection of papers from experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, and tomography. more...
Theory of Uniform Approximation of Functions by Polynomialsby Vladimir V. Gorunovich; Vladislav K. Dzyadyk; Peter V. Malyshev; Dmitry V. Malyshev; Igor A. Shevchuk
Walter de Gruyter, Inc. 2008; US$ 128.00A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, Weierstraß theorems, smoothness of functions, and continuation of functions. more...
Approximation Problems in Analysis and Probabilityby M.P. Heble
Elsevier 1989; US$ 225.00This is an exposition of some special results on analytic or C ∞ -approximation of functions in the strong sense, in finite- and infinite-dimensional spaces. It starts with H. Whitney's theorem on strong approximation by analytic functions in finite-dimensional spaces and ends with some recent results by the author on strong C ∞ -approximation of functions defined in a separable Hilbert space. The volume also contains some special results on approximation of stochastic processes. The results explained in the book have been obtained over a span of nearly five decades. more...
