Constructive Approximation, Michael F. Barnsley

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: 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: Trefethen
Название: Approximation Theory and Approximation Practice
ISBN: 1611972396 ISBN-13(EAN): 9781611972399
Издательство: Mare Nostrum (Eurospan)
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Цена: 55440.00 T
Наличие на складе: Невозможна поставка.
Описание: In a book that will appeal to beginners and experts alike, Oxford University’s Nick Trefethen presents approximation theory using a fresh approach for this established field.Approximation Theory and Approximation Practice is a textbook on classical polynomial and rational approximation theory for the twenty-first century. It uses MATLAB? to teach the field’s most important ideas and results and 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.In addition, 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.Each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.

Автор: Ronald A. DeVore; George G. Lorentz
Название: Constructive Approximation
ISBN: 3642080758 ISBN-13(EAN): 9783642080753
Издательство: Springer
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Цена: 121070.00 T
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Описание: 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.

Автор: Harold M. Edwards
Название: Essays in Constructive Mathematics
ISBN: 1489990186 ISBN-13(EAN): 9781489990181
Издательство: Springer
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Цена: 102480.00 T
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Описание: Contents and treatment are fresh and very different from the standard treatmentsPresents a fully constructive version of what it means to do algebraThe exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader

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: Peter Schuster; Ulrich Berger; Horst Osswald
Название: Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum
ISBN: 9048158850 ISBN-13(EAN): 9789048158850
Издательство: Springer
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Цена: 153720.00 T
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Описание: Symposion Proceedings, San Servolo, Venice, Italy, May 16-22, 1999

Автор: Vladimir F. Demyanov; Panos M. Pardalos; Mikhail B
Название: Constructive Nonsmooth Analysis and Related Topics
ISBN: 1493946315 ISBN-13(EAN): 9781493946310
Издательство: Springer
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Цена: 88500.00 T
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Описание: This volume contains papers from the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg, Russia, June 2012. It explores this powerful instrument in applied mathematics.

Автор: Vladimir F. Demyanov; Panos M. Pardalos; Mikhail B
Название: Constructive Nonsmooth Analysis and Related Topics
ISBN: 1461486149 ISBN-13(EAN): 9781461486145
Издательство: Springer
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Цена: 93160.00 T
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Описание: This volume contains papers from the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg, Russia, June 2012. It explores this powerful instrument in applied mathematics.

Автор: Martin D. Buhmann; Detlef Mache
Название: Advanced Problems in Constructive Approximation
ISBN: 3034876025 ISBN-13(EAN): 9783034876025
Издательство: Springer
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Цена: 93160.00 T
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Описание: The International Meetings on Approximation Theory attempt to keep track in particular of fun- damental advances in the theory of function approximation, for example by (or- thogonal) polynomials, (weighted) interpolation, multivariate quasi-interpolation, splines, radial basis functions and several others.