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Constructive Approximation, Ronald A. DeVore; George G. Lorentz


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Автор: Ronald A. DeVore; George G. Lorentz
Название:  Constructive Approximation
ISBN: 9783642080753
Издательство: Springer
Классификация:


ISBN-10: 3642080758
Обложка/Формат: Paperback
Страницы: 452
Вес: 0.64 кг.
Дата издания: 01.12.2010
Серия: Grundlehren der mathematischen Wissenschaften
Язык: English
Размер: 234 x 156 x 24
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.


Constructive Nonsmooth Analysis and Related Topics

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: 13974.00 р.
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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.

Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum

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: 23058.00 р.
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Описание: Symposion Proceedings, San Servolo, Venice, Italy, May 16-22, 1999

Methods in Approximation

Автор: N.D. Bellman; R.S. Roth
Название: Methods in Approximation
ISBN: 9027721882 ISBN-13(EAN): 9789027721884
Издательство: Springer
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Цена: 13275.00 р.
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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.

Advanced Problems in Constructive Approximation

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: 13974.00 р.
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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.

Best Approximation in Inner Product Spaces

Автор: Frank R. Deutsch
Название: Best Approximation in Inner Product Spaces
ISBN: 1441928901 ISBN-13(EAN): 9781441928900
Издательство: Springer
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Цена: 10475.00 р.
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Описание: This book evolved from notes originally developed for a graduate course, "Best Approximation in Normed Linear Spaces," that I began giving at Penn State Uni- versity more than 25 years ago. It soon became evident. that many of the students who wanted to take the course (including engineers, computer scientists, and statis- ticians, as well as mathematicians) did not have the necessary prerequisites such as a working knowledge of Lp-spaces and some basic functional analysis. (Today such material is typically contained in the first-year graduate course in analysis. ) To accommodate these students, I usually ended up spending nearly half the course on these prerequisites, and the last half was devoted to the "best approximation" part. I did this a few times and determined that it was not satisfactory: Too much time was being spent on the presumed prerequisites. To be able to devote most of the course to "best approximation," I decided to concentrate on the simplest of the normed linear spaces-the inner product spaces-since the theory in inner product spaces can be taught from first principles in much less time, and also since one can give a convincing argument that inner product spaces are the most important of all the normed linear spaces anyway. The success of this approach turned out to be even better than I had originally anticipated: One can develop a fairly complete theory of best approximation in inner product spaces from first principles, and such was my purpose in writing this book.

Constructive Approximation

Автор: Michael F. Barnsley
Название: Constructive Approximation
ISBN: 1489968164 ISBN-13(EAN): 9781489968166
Издательство: Springer
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Цена: 12157.00 р.
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Constructive Approximation

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: 12577.00 р.
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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.

Constructive Nonsmooth Analysis and Related Topics

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: 13275.00 р.
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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.

Essays in Constructive Mathematics

Автор: Harold M. Edwards
Название: Essays in Constructive Mathematics
ISBN: 1489990186 ISBN-13(EAN): 9781489990181
Издательство: Springer
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Цена: 15372.00 р.
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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

Topology, calculus and approximation

Автор: Komornik, Vilmos
Название: Topology, calculus and approximation
ISBN: 1447173155 ISBN-13(EAN): 9781447173151
Издательство: Springer
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Цена: 4890.00 р.
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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.


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