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Methods in Approximation, N.D. Bellman; R.S. Roth


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Автор: N.D. Bellman; R.S. Roth
Название:  Methods in Approximation
ISBN: 9789027721884
Издательство: Springer
Классификация:
ISBN-10: 9027721882
Обложка/Формат: Hardcover
Страницы: 224
Вес: 0.53 кг.
Дата издания: 28.02.1986
Серия: Mathematics and Its Applications
Язык: English
Размер: 229 x 152 x 18
Основная тема: Mathematics
Подзаголовок: Techniques for Mathematical Modelling
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Approach your problems from the right end It isnt that they cant see the solution. It is and begin with the answers. Then one day, that they cant 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 Guliks 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.

Numerische Methoden der Approximationstheorie/Numerical Methods of Approximation Theory

Автор: Meinardus; Collatz; Werner
Название: Numerische Methoden der Approximationstheorie/Numerical Methods of Approximation Theory
ISBN: 3764308249 ISBN-13(EAN): 9783764308247
Издательство: Springer
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Цена: 74530.00 T
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Описание: Der vorliegende Band stellt Vortragsmanuskripte einer am Mathematischen Forschungsinstitut, Oberwolfach, in der Zeit vom 25. bis 31. Mai 1975 veran- stalteten Tagung zusammen, die unter der Leitung der Unterzeichner stand. Die letzten dieser Tagungen uber numerische Methoden der Approximations- theorie fanden 1971 und 1973 statt - der Schwerpunkt lag bei Fragen der Numerik von Algorithmen zur Darstellung von Funktionen -, lieen aber bereits ein wachsendes Interesse an Anwendungen erkennen. Die diesjahrige Tagung war gekennzeichnet durch die Behandlung praktischer AufgabensteI- lungen sowie durch die Einbeziehung der Anwendungen aus Nachbargebie- ten bzw. die Verwendung der Methoden dieser Gebiete in der Approxima- tionstheorie, insbesondere wurde auch auf die Beziehungen von Optimierung und Kontrolltheorie zu speziellen approximationstheoretischen Aufgaben eingegangen. Der starke Einflu auf die numerischen Methoden zur Behand- lung von Differentialgleichungen wurde etwa bei der Methode der finiten Elemente oder bei Kollokationsaufgaben deutlich. So ist zu hoffen, da auch diese Tagung dazu beigetragen hat, Theorie und Anwendungen wieder starker zu verbinden. Die spezifische Atmosphare des Forschungsinstituts stimulierte einen intensi- ven, durch die breite internationale Streuung der Tagungsteilnehmer verstark- ten, fruchtbaren Gedankenaustausch. Zum Erfolg der Tagung trug - wie immer - die hervorragende Betreuung durch die Mitarbeiter und Angestellten des Forschungsinstituts und das verstandnisvolle Entgegenkommen von Herrn Kollege Barner bei. Unser besonderer Dank gilt ferner dem Birkhauser Verlag fur die sehr gute Ausstattung des Buches. L. COLLATZ, G. MEINARDUS, H. WERNER Inhaltsverzeichnis ANSELONE, P. M., LEE, J. W.: Double Approximation Methods for the Solution of Fredholm Integral Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Nonlinear Numerical Methods and Rational Approximation II

Автор: A. Cuyt
Название: Nonlinear Numerical Methods and Rational Approximation II
ISBN: 0792329678 ISBN-13(EAN): 9780792329671
Издательство: Springer
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Цена: 102480.00 T
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Описание: Includes proceedings of the international conference on Nonlinear Numerical Methods and Rational Approximation II, which Dr Cuyt organized at the University of Antwerp, Belgium, 5 - 11 September 1992.

Approximation Methods for Navier-Stokes Problems

Автор: R. Rautmann
Название: Approximation Methods for Navier-Stokes Problems
ISBN: 3540097341 ISBN-13(EAN): 9783540097341
Издательство: Springer
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Цена: 41880.00 T
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Numerical Approximation Methods for Elliptic Boundary Value Problems

Автор: Olaf Steinbach
Название: Numerical Approximation Methods for Elliptic Boundary Value Problems
ISBN: 1441921737 ISBN-13(EAN): 9781441921734
Издательство: Springer
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Цена: 55890.00 T
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Methods of fourier analysis and approximation theory

Название: Methods of fourier analysis and approximation theory
ISBN: 3319274651 ISBN-13(EAN): 9783319274652
Издательство: Springer
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Цена: 79190.00 T
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Описание: Different facets of interplay between harmonic analysis andapproximation theory are covered in this volume. The topics included areFourier analysis, function spaces, optimization theory, partial differentialequations, and their links to modern developments in the approximation theory.

Approximation Methods in Probability Theory

Автор: ?ekanavi?ius
Название: Approximation Methods in Probability Theory
ISBN: 3319340719 ISBN-13(EAN): 9783319340715
Издательство: Springer
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Цена: 53100.00 T
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Описание: This book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangle function. Emphasising the correct usage of the methods presented, each step required for the proofs is examined in detail. As a result, this textbook provides valuable tools for proving approximation theorems.While Approximation Methods in Probability Theory will appeal to everyone interested in limit theorems of probability theory, the book is particularly aimed at graduate students who have completed a standard intermediate course in probability theory. Furthermore, experienced researchers wanting to enlarge their toolkit will also find this book useful.

Spectral Theory of Approximation Methods for Convolution Equations

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.

Numerical Approximation Methods

Автор: Harold Cohen
Название: Numerical Approximation Methods
ISBN: 148999159X ISBN-13(EAN): 9781489991591
Издательство: Springer
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Цена: 69870.00 T
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Описание: This book presents numerical and other approximation techniques for solving various types of mathematical problems that cannot be solved analytically. In addition to well known methods, it contains some non-standard approximation techniques.

Analysis of Approximation Methods for Differential and Integral Equations

Автор: Hans-J?rgen Reinhardt
Название: Analysis of Approximation Methods for Differential and Integral Equations
ISBN: 038796214X ISBN-13(EAN): 9780387962146
Издательство: Springer
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Цена: 71690.00 T
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Nonlinear Numerical Methods and Rational Approximation

Автор: A. Cuyt
Название: Nonlinear Numerical Methods and Rational Approximation
ISBN: 9027726698 ISBN-13(EAN): 9789027726698
Издательство: Springer
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Цена: 102480.00 T
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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 Gu ik'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; use Stein spaces. And in addition to this there are and prediction and electrical engineering can 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.

Approximation Theory and Approximation Practice

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.

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: 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.


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