9781528007825 - error bounds for eigenvalues of symmetric integral equations (classic reprint) de wielandt, helmut (3 resultados)

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Paperback. Condición: New. Print on Demand. This book provides groundbreaking insights into the relationship between integral equations and eigenvalues, particularly in the context of numerical quadrature. The author, a renowned mathematician, presents innovative methods for calculating the eigenvalues of symmetric integral equa…tions using numerical integration techniques. These methods offer significant improvements over traditional approaches and address challenges that have remained unsolved for many years. The book begins by outlining the background and significance of integral equations and their eigenvalues. It then delves into the methodology of numerical quadrature, explaining the concepts and challenges involved in approximating integrals using a finite number of points. The author introduces a novel concept of "kernels that admit numerical quadrature," which plays a crucial role in the development of the new methods. Through rigorous analysis, the author establishes error bounds for the approximations obtained using these methods, providing a theoretical framework for their accuracy. The book also explores the interplay between kernels and matrices, demonstrating how the properties of one can be leveraged to analyze the other. By bridging the gap between integral equations and numerical quadrature, this book opens up new avenues for research and applications in various fields of science and engineering. It is an indispensable resource for mathematicians, physicists, and engineers working with integral equations and numerical methods. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.