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Author: Kirill Kopotun
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 456
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Book Description
Contains a carefully edited selection of papers that were presented at the Symposium on Trends in Approximation Theory, held in May 2000, and at the Oslo Conference on Mathematical Methods for Curves and Surfaces, held in July 2000. Mathematical Methods for Curves and Surfaces covers topics from abstract approximation to wavelets.
Author: Kirill Kopotun
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 456
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Book Description
Contains a carefully edited selection of papers that were presented at the Symposium on Trends in Approximation Theory, held in May 2000, and at the Oslo Conference on Mathematical Methods for Curves and Surfaces, held in July 2000. Mathematical Methods for Curves and Surfaces covers topics from abstract approximation to wavelets.
Author: Javad Mashreghi
Publisher: Springer
ISBN: 1493975439
Category : Mathematics
Languages : en
Pages : 278
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Book Description
The international conference entitled "New Trends in Approximation Theory" was held at the Fields Institute, in Toronto, from July 25 until July 29, 2016. The conference was fondly dedicated to the memory of our unique friend and colleague, André Boivin, who gave tireless service in Canada until his very last moment of his life in October 2014. The impact of his warm personality and his fine work on Complex Approximation Theory was reflected by the mathematical excellence and the wide research range of the 37 participants. In total there were 27 talks, delivered by well-established mathematicians and young researchers. In particular, 19 invited lectures were delivered by leading experts of the field, from 8 different countries. The wide variety of presentations composed a mosaic of aspects of approximation theory, highlighting interesting connections with important contemporary areas of Analysis. Primary topics discussed include application of approximation theory (isoperimetric inequalities, construction of entire order-isomorphisms, dynamical sampling); approximation by harmonic and holomorphic functions (especially uniform and tangential approximation), polynomial and rational approximation; zeros of approximants and zero-free approximation; tools used in approximation theory; approximation on complex manifolds, in product domains, and in function spaces; and boundary behaviour and universality properties of Taylor and Dirichlet series.
Author: Detlef H. Mache
Publisher: Springer Science & Business Media
ISBN: 3764373563
Category : Mathematics
Languages : en
Pages : 300
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Book Description
This volume contains contributions from international experts in the fields of constructive approximation. This area has reached out to encompass the computational and approximation-theoretical aspects of various interesting fields in applied mathematics.
Author: Nicholas J. Daras
Publisher: Springer Nature
ISBN: 3031464877
Category : Mathematics
Languages : en
Pages : 474
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Book Description
This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it relates to Legendre's work and its association to the foundation of Greece's higher education. Topics covered in this book include the investigation of the Jensen-Steffensen inequality, Ostrowski and trapezoid type inequalities, a Hilbert-Type Inequality, Hardy’s inequality, dynamic unilateral contact problems, square-free values of a category of integers, a maximum principle for general nonlinear operators, the application of Ergodic Theory to an alternating series expansion for real numbers, bounds for similarity condition numbers of unbounded operators, finite element methods with higher order polynomials, generating functions for the Fubini type polynomials, local asymptotics for orthonormal polynomials, trends in geometric function theory, quasi variational inclusions, Kleene fixed point theorems, ergodic states, spontaneous symmetry breaking and quasi-averages. It is hoped that this book will be of interest to a wide spectrum of readers from several areas of pure and applied sciences, and will be useful to undergraduate students, graduate level students, and researchers who want to be kept up to date on the results and theories in the subjects covered in this volume.
Author: Jorge Arvesú
Publisher: American Mathematical Soc.
ISBN: 0821848038
Category : Mathematics
Languages : en
Pages : 314
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Book Description
This volume contains invited lectures and selected contributions from the International Workshop on Orthogonal Polynomials and Approximation Theory, held at Universidad Carlos III de Madrid on September 8-12, 2008, and which honored Guillermo Lopez Lagomasino on his 60th birthday. This book presents the state of the art in the theory of Orthogonal Polynomials and Rational Approximation with a special emphasis on their applications in random matrices, integrable systems, and numerical quadrature. New results and methods are presented in the papers as well as a careful choice of open problems, which can foster interest in research in these mathematical areas. This volume also includes a brief account of the scientific contributions by Guillermo Lopez Lagomasino.
Author: Driss Sbibih
Publisher: Springer
ISBN: 9783031627149
Category : Mathematics
Languages : en
Pages : 0
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Book Description
This book presents recent research results from a selection of the talks presented in the international symposium “New Trends in Approximation and Applications”, held at Oujda, Morocco, in June 2022. The various chapters describe developments in approximation and its different applications including approximation methods in Numerical Analysis, curves and surfaces in CAGD, interpolation and smoothing, shape modelling and computational topology, subdivision schemes and applications, wavelets, and multiresolution methods. The book is addressed to researchers in all of these areas as well as in general mathematical modelling.
Author: Walter Gautschi
Publisher: Springer Science & Business Media
ISBN: 1441965947
Category : Mathematics
Languages : en
Pages : 482
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Book Description
Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to renowned mathematician Gradimir V. Milovanović, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications. Special features of this volume: - Presents results and approximation methods in various computational settings including: polynomial and orthogonal systems, analytic functions, and differential equations. - Provides a historical overview of approximation theory and many of its subdisciplines; - Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences. "Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in the computational and applied sciences.
Author: Werner Haussmann
Publisher: De Gruyter Akademie Forschung
ISBN:
Category : Mathematics
Languages : en
Pages : 328
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Book Description
This is the third edition of the leading practitioner's work on freedom of information. Designed to provide in-depth legal analysis and practical guidance, this book has become the first port of call for anyone either seeking or handling requests for official information. The latest edition maintains its authorship of expert lawyers. The two years since the previous edition have seen numerous important decisions from the courts and from the Information Tribunal on freedom of information law. The learning from all these has been incorporated into the text, enabling a practitioner to see immediately all relevant cases and the principles that emerge from them.The book is logically organised so that the practitioner can quickly find the topic of choice. The work commences with an historical analysis that sets out the object of the legislation and its relationship with other aspects of public law. Full references to Hansard and other Parliamentary materials is provided. This is followed by a summary of the regime in five comparative jurisdictions, providing a useful testbed for anticipated effects of disclosure and a normative yardstick. The impact of the Human Rights Act 1998 is given separate consideration. Next follows a series of chapters dealing with rights of access under provisions apart from the FOI Act: access to information held by EU bodies; access to information under the Data Protection Act; access to information under the Environmental Information Regulations; public records; and access under numerous other provisions in legislation. Together, these provide the practitioner with sources of access that might otherwise be overlooked. All are arranged thematically.The book then considers practical aspects of information requests: the persons who may make them; the bodies to whom they may be made; the time allowed for responding; the modes of response; fees and vexatious requests; the duty to advise and assist; the codes of practice; government guidance and its status; transferring of requests; third party consultation.The next 13 chapters, comprising over half the book, are devoted to exemptions. These start with two important chapters dealing with general principles, including the notions of "prejudice" and the "public interest." The arrangement of these chapters reflects the arrangement of the FOI Act, but the text is careful to include analogous references to the Environmental Information Regulations and the Data Protection Act 1998. With each chapter, the exemption is carefully analysed, starting with its Parliamentary history (giving full references to Hansard and other Parliamentary material) and the treatment given in the comparative jurisdictions. The analysis then turns to consider all court judgments and tribunal decisions dealing with the exemption. The principles are stated in the text, with footnotes giving all available references. Whether to prepare a case or to prepare a response to a request, these chapters allow the practitioner to get on top of the exemption rapidly and authoritatively.The book concludes with three chapters setting out the role of the Information Commissioner and the Tribunal, appeals and enforcement. The chapter on appeals allows the practitioner to be familiar with the processes followed in the tribunal, picking up on the jurisprudence as it has emerged over the last five or so years.Appendices include: precedent requests for information; a step-by-step guide to responding to a request; comparative tables; and a table of the FOI Act's Parliamentary history. Finally, the book includes an annotated copy of the FOIA Act, the Data Protection Act 1998, the Environmental Information Regulations 2004, all subordinate legislation made under them, EU legislation, Tribunal rules and practice directions, and the Codes of Practice.Throughout the book, full web references are given (including to all cases), facilitating ready access to primary material.From the reviews of previous editions:"The depth of analysis and thought that Philip Coppel brings to the topic is evident throughout....Careful analysis is a hallmark of the book which reflects, not merely an academic interest in the legal regime but a real and active interest in the wider societal issues involved in the development of the law in this area.... The text delivers excellent value for anyone working seriously in this area." - Rosemary Jay in Freedom of Information Journal"Encyclopaedic and authoritative...a very useful guide to practitioners as well as those seeking official information" - New Law Journal"This is not just a book for the library it is also a book to be held close at hand on any practitioner's desk, or in any public authority boardroom - the hope expressed by Coppel that his book will assist in resolving [FOI Act] complexities and in revealing its subtleties is realised in a well composed and intelligently written volume." - Solicitors Journal"...The best single resource in this area of the law.... Any practitioner who needs to consider information rights owes a considerable debt of thanks to Philip Coppel and his fellow authors." - Jonathan Crow QC in Public Law"This is an outstanding piece of legal scholarship, which will provide invaluable assistance to practitioners interested in information rights whether they be based in the United Kingdom or in comparable overseas jurisdictions." - John Griffiths SC in Australian Journal of Administrative Law
Author: Yurii Kharkevych
Publisher: Mdpi AG
ISBN: 9783036562322
Category :
Languages : en
Pages : 0
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Book Description
In recent years, we have seen a growing interest in various aspects of approximation theory. This happened due to the increasing complexity of mathematical models that require computer calculations and the development of the theoretical foundations of the approximation theory. Approximation theory has broad and important applications in many areas of mathematics, including functional analysis, differential equations, dynamical systems theory, mathematical physics, control theory, probability theory and mathematical statistics, and others. Approximation theory is also of great practical importance, as approximate methods and estimation of approximation errors are used in physics, economics, chemistry, signal theory, neural networks and many other areas. This book presents the works published in the Special Issue "Approximation Theory and Related Applications". The research of the world's leading scientists presented in this book reflect new trends in approximation theory and related topics.
Author: Sushant Sachdeva
Publisher:
ISBN: 9781601988201
Category : Computers
Languages : en
Pages : 108
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Book Description
Faster Algorithms via Approximation Theory illustrates how classical and modern techniques from approximation theory play a crucial role in obtaining results that are relevant to the emerging theory of fast algorithms. The key lies in the fact that such results imply faster ways to approximate primitives such as products of matrix functions with vectors and, to compute matrix eigenvalues and eigenvectors, which are fundamental to many spectral algorithms. The first half of the book is devoted to the ideas and results from approximation theory that are central, elegant, and may have wider applicability in theoretical computer science. These include not only techniques relating to polynomial approximations but also those relating to approximations by rational functions and beyond. The remaining half illustrates a variety of ways that these results can be used to design fast algorithms. Faster Algorithms via Approximation Theory is self-contained and should be of interest to researchers and students in theoretical computer science, numerical linear algebra, and related areas.