Quadrature Theory

Quadrature Theory
Author :
Publisher : American Mathematical Soc.
Total Pages : 376
Release :
ISBN-10 : 9780821853610
ISBN-13 : 0821853619
Rating : 4/5 (619 Downloads)

Book Synopsis Quadrature Theory by : Helmut Brass

Download or read book Quadrature Theory written by Helmut Brass and published by American Mathematical Soc.. This book was released on 2011-10-12 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Quadrature Theory Related Books

Quadrature Theory
Language: en
Pages: 376
Authors: Helmut Brass
Categories: Mathematics
Type: BOOK - Published: 2011-10-12 - Publisher: American Mathematical Soc.

GET EBOOK

Every book on numerical analysis covers methods for the approximate calculation of definite integrals. The authors of this book provide a complementary treatmen
Theory and Applications of Gaussian Quadrature Methods
Language: en
Pages: 67
Authors: Narayan Kovvali
Categories: Technology & Engineering
Type: BOOK - Published: 2011-10-10 - Publisher: Morgan & Claypool Publishers

GET EBOOK

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 pr
Mathematical Analysis, Approximation Theory and Their Applications
Language: en
Pages: 745
Authors: Themistocles M. Rassias
Categories: Mathematics
Type: BOOK - Published: 2016-06-03 - Publisher: Springer

GET EBOOK

Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and
The Geometric Theory of Complex Variables
Language: en
Pages: 540
Authors: Peter V. Dovbush
Categories: Mathematics
Type: BOOK - Published: 2025-01-28 - Publisher: Springer Nature

GET EBOOK

This book provides the reader with a broad introduction to the geometric methodology in complex analysis. It covers both single and several complex variables, c
The Review of Economic Statistics
Language: en
Pages: 520
Authors:
Categories: Economics
Type: BOOK - Published: 1926 - Publisher:

GET EBOOK