Quadrature Theory
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Quadrature Theory
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Author : Helmut Brass
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-10-12
Quadrature Theory written by Helmut Brass and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-12 with Mathematics categories.
Every book on numerical analysis covers methods for the approximate calculation of definite integrals. The authors of this book provide a complementary treatment of the topic by presenting a coherent theory of quadrature methods that encompasses many deep and elegant results as well as a large number of interesting (solved and open) problems. The inclusion of the word ``theory'' in the title highlights the authors' emphasis on analytical questions, such as the existence and structure of quadrature methods and selection criteria based on strict error bounds for quadrature rules. Systematic analyses of this kind rely on certain properties of the integrand, called ``co-observations,'' which form the central organizing principle for the authors' theory, and distinguish their book from other texts on numerical integration. A wide variety of co-observations are examined, as a detailed understanding of these is useful for solving problems in practical contexts. While quadrature theory is often viewed as a branch of numerical analysis, its influence extends much further. It has been the starting point of many far-reaching generalizations in various directions, as well as a testing ground for new ideas and concepts. The material in this book should be accessible to anyone who has taken the standard undergraduate courses in linear algebra, advanced calculus, and real analysis.
Quantum Theory Informational Foundations And Foils
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Author : Giulio Chiribella
language : en
Publisher: Springer
Release Date : 2015-12-08
Quantum Theory Informational Foundations And Foils written by Giulio Chiribella and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Science categories.
This book provides the first unified overview of the burgeoning research area at the interface between Quantum Foundations and Quantum Information. Topics include: operational alternatives to quantum theory, information-theoretic reconstructions of the quantum formalism, mathematical frameworks for operational theories, and device-independent features of the set of quantum correlations. Powered by the injection of fresh ideas from the field of Quantum Information and Computation, the foundations of Quantum Mechanics are in the midst of a renaissance. The last two decades have seen an explosion of new results and research directions, attracting broad interest in the scientific community. The variety and number of different approaches, however, makes it challenging for a newcomer to obtain a big picture of the field and of its high-level goals. Here, fourteen original contributions from leading experts in the field cover some of the most promising research directions that have emerged in the new wave of quantum foundations. The book is directed at researchers in physics, computer science, and mathematics and would be appropriate as the basis of a graduate course in Quantum Foundations.
Theory And Applications Of Gaussian Quadrature Methods
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Author : Narayan Kovvali
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Theory And Applications Of Gaussian Quadrature Methods written by Narayan Kovvali and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
Gaussian quadrature is a powerful technique for numerical integration that falls under the broad category of spectral methods. The purpose of this work is to provide an introduction to the theory and practice of Gaussian quadrature. We study the approximation theory of trigonometric and orthogonal polynomials and related functions and examine the analytical framework of Gaussian quadrature. We discuss Gaussian quadrature for bandlimited functions, a topic inspired by some recent developments in the analysis of prolate spheroidal wave functions. Algorithms for the computation of the quadrature nodes and weights are described. Several applications of Gaussian quadrature are given, ranging from the evaluation of special functions to pseudospectral methods for solving differential equations. Software realization of select algorithms is provided. Table of Contents: Introduction / Approximating with Polynomials and Related Functions / Gaussian Quadrature / Applications / Links to Mathematical Software
Multidimensional Item Response Theory
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Author : Wes Bonifay
language : en
Publisher: SAGE Publications
Release Date : 2019-12-24
Multidimensional Item Response Theory written by Wes Bonifay and has been published by SAGE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-24 with Social Science categories.
Several decades of psychometric research have led to the development of sophisticated models for multidimensional test data, and in recent years, multidimensional item response theory (MIRT) has become a burgeoning topic in psychological and educational measurement. Considered a cutting-edge statistical technique, the methodology underlying MIRT can be complex, and therefore doesn’t receive much attention in introductory IRT courses. However author Wes Bonifay shows how MIRT can be understood and applied by anyone with a firm grounding in unidimensional IRT modeling. His volume includes practical examples and illustrations, along with numerous figures and diagrams. Multidimensional Item Response Theory includes snippets of R code interspersed throughout the text (with the complete R code included on an accompanying website) to guide readers in exploring MIRT models, estimating the model parameters, generating plots, and implementing the various procedures and applications discussed throughout the book.
Inequality Theory And Applications
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Author : Yeol Je Cho
language : en
Publisher: Nova Publishers
Release Date : 2007
Inequality Theory And Applications written by Yeol Je Cho and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
The aim of this volume is to introduce and exchange recent new topics on the areas of inequality theory and their applications dealing in pure and applied mathematics.
Business Cycle Theory Part Ii Volume 8
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Author : Mauro Boianovsky
language : en
Publisher: Taylor & Francis
Release Date : 2024-10-28
Business Cycle Theory Part Ii Volume 8 written by Mauro Boianovsky and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-28 with Business & Economics categories.
In the mid-nineteenth century the business cycle was increasingly recognised as a recurrent phenomenon. This edition contains key texts from the range of literature in the field.
Mathematical Analysis Approximation Theory And Their Applications
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Author : Themistocles M. Rassias
language : en
Publisher: Springer
Release Date : 2016-06-03
Mathematical Analysis Approximation Theory And Their Applications written by Themistocles M. Rassias and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Mathematics categories.
Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.
The Geometric Theory Of Complex Variables
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Author : Peter V. Dovbush
language : en
Publisher: Springer Nature
Release Date : 2025-01-28
The Geometric Theory Of Complex Variables written by Peter V. Dovbush and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-28 with Mathematics categories.
This book provides the reader with a broad introduction to the geometric methodology in complex analysis. It covers both single and several complex variables, creating a dialogue between the two viewpoints. Regarded as one of the 'grand old ladies' of modern mathematics, complex analysis traces its roots back 500 years. The subject began to flourish with Carl Friedrich Gauss's thesis around 1800. The geometric aspects of the theory can be traced back to the Riemann mapping theorem around 1850, with a significant milestone achieved in 1938 with Lars Ahlfors's geometrization of complex analysis. These ideas inspired many other mathematicians to adopt this perspective, leading to the proliferation of geometric theory of complex variables in various directions, including Riemann surfaces, Teichmüller theory, complex manifolds, extremal problems, and many others. This book explores all these areas, with classical geometric function theory as its main focus. Its accessible and gentle approach makes it suitable for advanced undergraduate and graduate students seeking to understand the connections among topics usually scattered across numerous textbooks, as well as experienced mathematicians with an interest in this rich field.
Lecture Course On Numerical Analysis
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Author :
language : en
Publisher: Academic Publishers
Release Date :
Lecture Course On Numerical Analysis written by and has been published by Academic Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Library Of Congress Subject Headings
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Author : Library of Congress. Cataloging Policy and Support Office
language : en
Publisher:
Release Date : 2009
Library Of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Subject headings, Library of Congress categories.