Approximation Theory and Approximation Practice: Extended Edition, Lloyd N. Trefethen

Автор: Komornik, Vilmos
Название: Topology, calculus and approximation
ISBN: 1447173155 ISBN-13(EAN): 9781447173151
Издательство: Springer
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Цена: 32600.00 T
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Описание: Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejer, Stieltjes, and Turan.

The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and others. In the first part, the classical results of Alexandroff, Cantor, Hausdorff, Helly, Peano, Radon, Tietze and Urysohn illustrate the theories of metric, topological and normed spaces. Following this, the general framework of normed spaces and Caratheodory's definition of the derivative are shown to simplify the statement and proof of various theorems in calculus and ordinary differential equations. The third and final part is devoted to interpolation, orthogonal polynomials, numerical integration, asymptotic expansions and the numerical solution of algebraic and differential equations.
Students of both pure and applied mathematics, as well as physics and engineering should find this textbook useful. Only basic results of one-variable calculus and linear algebra are used, and simple yet pertinent examples and exercises illustrate the usefulness of most theorems. Many of these examples are new or difficult to locate in the literature, and so the original sources of most notions and results are given to help readers understand the development of the field.

Автор: S.P. Singh; J.H.W. Burry; B. Watson
Название: Approximation Theory and Spline Functions
ISBN: 9027718180 ISBN-13(EAN): 9789027718181
Издательство: Springer
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Цена: 306530.00 T
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Описание: Proceedings of the NATO Advanced Study Institute, St. John`s, Newfoundland, Canada, August 22-September 2, 1983

Автор: George G. Lorentz; Manfred v. Golitschek; Yuly Mak
Название: Constructive Approximation
ISBN: 3642646107 ISBN-13(EAN): 9783642646102
Издательство: Springer
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Цена: 83850.00 T
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Описание: In the last 30 years, Approximation Theory has undergone wonderful develop- ment, with many new theories appearing in this short interval. This book has its origin in the wish to adequately describe this development, in particular, to rewrite the short 1966 book of G.

Автор: SCHEMPP; ZELLER
Название: Multivariate Approximation Theory III
ISBN: 3034899955 ISBN-13(EAN): 9783034899956
Издательство: Springer
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Цена: 74490.00 T
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Описание: The topics treated cover different problems on multivariate approximation such as polynomial approximation on simplices, multivariate splines (box-splines, dimension of spline spaces), blending methods, multivariate Hermite interpolation, data smoothing and surface representation, and multivariate summation methods.

Автор: George M. Phillips
Название: Interpolation and Approximation by Polynomials
ISBN: 1441918108 ISBN-13(EAN): 9781441918109
Издательство: Springer
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Цена: 69830.00 T
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Описание: 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.

Автор: Dietrich Braess
Название: Nonlinear Approximation Theory
ISBN: 3642648835 ISBN-13(EAN): 9783642648830
Издательство: Springer
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Описание: The first investigations of nonlinear approximation problems were made by P.L. On the other hand, methods developed for nonlinear approximation prob- lems can often be successfully applied to problems which belong to or arise from linear approximation.

Автор: K. Glashoff; S.-A. Gustafson
Название: Linear Optimization and Approximation
ISBN: 0387908579 ISBN-13(EAN): 9780387908571
Издательство: Springer
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Описание: A linear optimization problem is the task of minimizing a linear real-valued function of finitely many variables subject to linear con- straints;

Автор: Armin Iske; Jeremy Levesley
Название: Algorithms for Approximation
ISBN: 3642069940 ISBN-13(EAN): 9783642069949
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Автор: N.D. Bellman; R.S. Roth
Название: Methods in Approximation
ISBN: 9027721882 ISBN-13(EAN): 9789027721884
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Описание: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Автор: Gregory E. Fasshauer; Larry L. Schumaker
Название: Approximation Theory XIV: San Antonio 2013
ISBN: 3319346946 ISBN-13(EAN): 9783319346946
Издательство: Springer
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Описание: These proceedings were prepared in connection with the 14th International Conference on Approximation Theory, which was held April 7-10, 2013 in San Antonio, Texas.

Автор: Roland Hagen; Steffen Roch; Bernd Silbermann
Название: Spectral Theory of Approximation Methods for Convolution Equations
ISBN: 3034898916 ISBN-13(EAN): 9783034898911
Издательство: Springer
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Цена: 97820.00 T
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Описание: The aim of the present book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via discretization of singular integral equations on composed curves.

Автор: Irena Lasiecka; Roberto Triggiani
Название: Differential and Algebraic Riccati Equations with Application to Boundary/Point Control Problems: Continuous Theory and Approximation Theory
ISBN: 3540543392 ISBN-13(EAN): 9783540543398
Издательство: Springer
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Цена: 95770.00 T
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Описание: This book provides, in a unified framework, an updated andrather comprehensive treatment contered on the theory of ot-pimal control with quadratic cost functional for abstractlinear systems with application to boundary/point controlproblems for partial differential equations (distributed pa-rameter systems).