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Approximation Theory
We study in Part I of this monograph the computational aspect of almost all moduli of continuity over wide classes of functions exploiting some of their convexity properties. To our knowledge it is the first time the entire calculus of moduli of smoothness has been included in a book. We then present numerous applications of Approximation Theory, giving exact val ues of errors in explicit forms. The K-functional method is systematically avoided since it produces nonexplicit constants. All other related books so far have allocated very little space to the computational aspect of moduli of smoothness. In Part II, we study/examine the Global Smoothness Preservation Prop erty (GSPP) for almost a...
Approximation Theory
"Contains the contributions of 45 internationally distinguished mathematicians covering all areas of approximation theory-written in honor of the pioneering work of Arun K. Varma to the fields of interpolation and approximation of functions, including Birhoff interpolation and approximation by spline functions."
New Developments in Approximation Theory
A collection of papers by international contributors describing new developments in the fields of univariate and multivariate approximation theory. This research has applications in areas such as computer-aided geometric design, as applied in engineering and medical technology (e.g. computerized tomography).
Flood Issues in Contemporary Water Management
In 1997 disastrous flooding running through the Czech Republic, Poland, Germany took the lives of a great number of people and caused economic damage estimated in tens of billions of dollars. Flooding of the Yangtze river in 1998 killed more than 3000 people, dislocated 230 million souls, and caused direct damage of more than $ 45 billion. Both the general public and the experts are asking what we can learn from these recent events to reduce loss of life and flood damage. The 1997 floods were dealt with by experts from the Czech Republic, Poland and Germany, who presented timely reports on combatting floods, both success stories and shortcomings. This experience is further extended by reports from experts drawn from 13 other countries, developing a broad overview of flood risk management, covering the ecosystem approach to flood management, including socioeconomic issues, flood impacts on water quality, human health, and natural ecosystems.
Algebraic Approximation: A Guide to Past and Current Solutions
This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document some trends in polynomial approximation from the 1950s to the present day.
Complex Polynomials
This book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology and analysis.
Anniversary Volume on Approximation Theory and Functional Analysis
These Proceedings include 42 of the 49 invited conference papers, three papers sub mitted subsequently, and a report devoted to new and unsolved problems based on two special problem sessions and as augmented by later communications from the participants. In addition, there are four short accounts that emphasize the personality of the scholars to whom the proceedings are dedicated. Due to the large number of contributors, the length of the papers had to be restricted. This volume is again devoted to recent significant results obtained in approximation theory, harmonic analysis, functional analysis, and operator theory. The papers solicited include in addition survey articles that not only de...
Topics in Polynomials
The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.
Cross National Policies and Practices on Computers in Education
This book presents some of the results from the second stage of lEA's study of Computers in Education (CompEd). lEA, the International Association for the Evaluation of Educational Achievement, conducts international comparative studies focussing on educational achievement, practices, and policies in various countries and education systems around the world. It has a Secretariat located in Amsterdam, the Netherlands. lEA studies have reported on a wide range of topics, each contributing to a deeper understanding of educational processes. The CompEd study is a project that sheds light on the way computers have been introduced in education and on how they are being used across the world today. ...
