Integral Equations A Reference Text Zabreiko
Download Integral Equations A Reference Text Zabreiko full books in PDF, epub, and Kindle. Read online free Integral Equations A Reference Text Zabreiko ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| Author | : Zabreyko |
| Publisher | : Springer |
| Total Pages | : 472 |
| Release | : 1975-01-09 |
| Genre | : Mathematics |
| ISBN | : |
The title 'Integral equations' covers many things which have very little connection with each other. However, they are united by the following important feature. In most cases, the equations involve an unknown function operated on by a bounded and often compact operator defined on some Banach space. The aim of the book is to list the main results concerning integral equations. The classical Fredholm theory and Hilbert-Schmidt theory are presented in Chapters II and III. The preceding Chapter I contains a description of the most important types of integral equations which can be solved in 'closed' form. Chapter IV is an important addition to Chapters II and III, as it contains the theory of integral equations with non-negative kernels. The development of this theory is mainly due to M. G. Krein. The content of the first four chapters is fairly elementary. It is well known that the Fredholm theory has been generalized for equations with compact operators. Chapter V is devoted tothis generalization. In Chapter VI one-dimensional (i.e. with one dependent variable) singular integral equations are considered. The last type of equations differ from that considered in the preceding chapters in that singular integral operators are not compact but only bounded in the usual functional spaces.
| Author | : Petr Petrovich Zabreiko |
| Publisher | : |
| Total Pages | : 443 |
| Release | : 1975 |
| Genre | : |
| ISBN | : |
| Author | : Dr Jitendra Singh |
| Publisher | : Dr. Jitendra Singh |
| Total Pages | : 138 |
| Release | : 2024-10-02 |
| Genre | : Education |
| ISBN | : |
This book is part of the P-17 series designed specifically for the CSIR NET (JRF) in Mathematical Sciences and other competitive mathematics examinations. Integral equations play a crucial role in various fields, including applied mathematics, physics, and engineering. This text aims to provide a comprehensive introduction to integral equations, offering both theoretical insights and practical problem-solving techniques. Chapter 1 lays the groundwork by differentiating between Fredholm and Volterra integral equations and clarifying the distinctions between first- and second-kind integral equations. Understanding these foundational concepts is essential for tackling more complex topics. In Chapter 2, we explore several methods for solving integral equations, including the resolvent kernel method and the Neumann series approach. These techniques provide powerful tools for both analytical and numerical solutions. Chapter 3 delves into separable kernels, showcasing their significance in solving integral equations and their applications in mathematical physics and engineering contexts. Chapter 4 addresses eigenvalue problems, connecting characteristic numbers and eigenfunctions to the well-established Sturm-Liouville theory, which is pivotal in understanding the spectral properties of differential operators. Finally, Chapter 5 discusses the resolvent kernel, detailing its theory and applications in solving integral equations effectively. This book aims to equip students and researchers with the knowledge and skills necessary to navigate the complexities of integral equations, fostering a deeper appreciation for their applications in both pure and applied mathematics.
| Author | : P. P. Zabrejko |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1975 |
| Genre | : |
| ISBN | : |
| Author | : N.I. Muskhelishvili |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 453 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9400999941 |
In preparing this translation for publication certain minor modifications and additions have been introduced into the original Russian text, in order to increase its readibility and usefulness. Thus, instead of the first person, the third person has been used throughout; wherever possible footnotes have been included with the main text. The chapters and their subsections of the Russian edition have been renamed parts and chapters respectively and the last have been numbered consecutively. An authors and subject index has been added. In particular, the former has been combined with the list of references of the original text, in order to enable the reader to find quickly all information on anyone reference in which he may be especially interested. This has been considered most important with a view to the difficulties experienced outside Russia in obtaining references, published in that country. Russian names have been printed in Russian letters in the authors index, in order to overcome any possible confusion arising from transliteration.
| Author | : Christian Constanda |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 312 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 9780817632281 |
* Good reference text; clusters well with other Birkhauser integral equations & integral methods books (Estrada and Kanwal, Kythe/Puri, Constanda, et al). * Includes many practical applications/techniques for applied mathematicians, physicists, engineers, grad students. * The contributors to the volume draw from a number of physical domains and propose diverse treatments for various mathematical models through the use of integration as an essential solution tool. * Physically meaningful problems in areas related to finite and boundary element techniques, conservation laws, hybrid approaches, ordinary and partial differential equations, and vortex methods are explored in a rigorous, accessible manner. * The new results provided are a good starting point for future exploitation of the interdisciplinary potential of integration as a unifying methodology for the investigation of mathematical models.
| Author | : Ram P. Kanwal |
| Publisher | : Academic Press |
| Total Pages | : 311 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483262502 |
Linear Integral Equations: Theory and Technique is an 11-chapter text that covers the theoretical and methodological aspects of linear integral equations. After a brief overview of the fundamentals of the equations, this book goes on dealing with specific integral equations with separable kernels and a method of successive approximations. The next chapters explore the properties of classical Fredholm theory and the applications of linear integral equations to ordinary and partial differential equations. These topics are followed by discussions of the symmetric kernels, singular integral equations, and the integral transform methods. The final chapters consider the applications of linear integral equations to mixed boundary value problems. These chapters also look into the integral equation perturbation methods. This book will be of value to undergraduate and graduate students in applied mathematics, theoretical mechanics, and mathematical physics.
| Author | : M. Hazewinkel |
| Publisher | : Springer |
| Total Pages | : 967 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1489937951 |
| Author | : Michiel Hazewinkel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 543 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401512337 |
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
| Author | : Abdul J. Jerri |
| Publisher | : John Wiley & Sons |
| Total Pages | : 458 |
| Release | : 1999-09-03 |
| Genre | : Mathematics |
| ISBN | : 9780471317340 |
From the reviews of the First Edition: "Extremely clear, self-contained text . . . offers to a wide class of readers the theoretical foundations and the modern numerical methods of the theory of linear integral equations."-Revue Roumaine de Mathematiques Pures et Appliquées. Abdul Jerri has revised his highly applied book to make it even more useful for scientists and engineers, as well as mathematicians. Covering the fundamental ideas and techniques at a level accessible to anyone with a solid undergraduate background in calculus and differential equations, Dr. Jerri clearly demonstrates how to use integral equations to solve real-world engineering and physics problems. This edition provides precise guidelines to the basic methods of solutions, details more varied numerical methods, and substantially boosts the total of practical examples and exercises. Plus, it features added emphasis on the basic theorems for the existence and uniqueness of solutions of integral equations and points out the interrelation between differentiation and integration. Other features include: * A new section on integral equations in higher dimensions. * An improved presentation of the Laplace and Fourier transforms. * A new detailed section for Fredholm integral equations of the first kind. * A new chapter covering the basic higher quadrature numerical integration rules. * A concise introduction to linear and nonlinear integral equations. * Clear examples of singular integral equations and their solutions. * A student's solutions manual available directly from the author.
