Complex Approximation, B. Aupetit

Автор: Junjiro Noguchi; J?rg Winkelmann
Название: Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
ISBN: 4431562133 ISBN-13(EAN): 9784431562139
Издательство: Springer
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Цена: 88500.00 T
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Описание: This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.

Автор: Emmanuil H Georgoulis; Armin Iske; Jeremy Levesley
Название: Approximation Algorithms for Complex Systems
ISBN: 3642266657 ISBN-13(EAN): 9783642266652
Издательство: Springer
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Цена: 194730.00 T
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Описание:

Part I INVITED SURVEYS: Emergent Behaviour in Large Electrical Networks by D. P. Almond, C.J. Budd, N.J. McCullen.- Algorithms and Error Bounds for Multivariate Piecewise Constant Approximation by O. Davydov.- Anisotropic Triangulation Methods in Adaptive Image Approximation by L. Demaret, A. Iske.- Form Assessment in Coordinate Metrology by A.B. Forbes and H.D.Minh.- Discontinuous Galerkin Methods for Linear Problems: An Introduction by E. H. Georgoulis.- A Numerical Analyst's View of the Lattice Boltzmann Method by A. G. Gorban, J. Levesley, D. Packwood.- Approximating Probability Measures on Manifolds via Radial Basis Functions by J. Levesley, X. Sun.- Part II CONTRIBUTED RESEARCH PAPERS: Modelling Clinical Decay Data Using Exponential Functions by M.G. Cox.- Towards Calculating the Basin of Attraction of Non-Smooth Dynamical Systems Using Radial Basis Functions by P. Giesl.- Stabilizing Lattice Boltzmann Simulation of Fluid Flow past a Circular Cylinder with Ehrenfests' Limiter by T.S. Khan, J. Levesley.- Fast and Stable Interpolation of Well Data Using the Norm Function by B. Li, J. Levesley.- Algorithms and Literate Programs for Weighted Low-Rank Approximation with Missing Data by I. Markovsky.- On Bivariate Interpolatory Mask Symbols, Subdivision and Refinable Functions by A. F. Rabarison, J. de Villiers.- Model and Feature Selection in Metrology Data Approximation by X. Yang, A. B. Forbes.

Название: Progress in approximation theory and applicable complex analysis
ISBN: 3319492403 ISBN-13(EAN): 9783319492407
Издательство: Springer
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Цена: 111790.00 T
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Описание: Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies.

Автор: Junjiro Noguchi; J?rg Winkelmann
Название: Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
ISBN: 4431545700 ISBN-13(EAN): 9784431545705
Издательство: Springer
Рейтинг:
Цена: 111790.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.

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: 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.