The Numerical Treatment of Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Numerical Treatment of Integral Equations write by Christopher T. H. Baker. This book was released on 1977. The Numerical Treatment of Integral Equations available in PDF, EPUB and Kindle.
Integral Equations
Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral Equations write by Wolfgang Hackbusch. This book was released on 2012-12-06. Integral Equations available in PDF, EPUB and Kindle. The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations.
The Numerical Solution of Integral Equations of the Second Kind
The Numerical Solution of Integral Equations of the Second Kind - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Numerical Solution of Integral Equations of the Second Kind write by Kendall E. Atkinson. This book was released on 1997-06-28. The Numerical Solution of Integral Equations of the Second Kind available in PDF, EPUB and Kindle. This book provides an extensive introduction to the numerical solution of a large class of integral equations.
The Classical Theory of Integral Equations
The Classical Theory of Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Classical Theory of Integral Equations write by Stephen M. Zemyan. This book was released on 2012-07-10. The Classical Theory of Integral Equations available in PDF, EPUB and Kindle. The Classical Theory of Integral Equations is a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations. The book provides the background and insight necessary to facilitate a complete understanding of the fundamental results in the field. With a firm foundation for the theory in their grasp, students will be well prepared and motivated for further study. Included in the presentation are: A section entitled Tools of the Trade at the beginning of each chapter, providing necessary background information for comprehension of the results presented in that chapter; Thorough discussions of the analytical methods used to solve many types of integral equations; An introduction to the numerical methods that are commonly used to produce approximate solutions to integral equations; Over 80 illustrative examples that are explained in meticulous detail; Nearly 300 exercises specifically constructed to enhance the understanding of both routine and challenging concepts; Guides to Computation to assist the student with particularly complicated algorithmic procedures. This unique textbook offers a comprehensive and balanced treatment of material needed for a general understanding of the theory of integral equations by using only the mathematical background that a typical undergraduate senior should have. The self-contained book will serve as a valuable resource for advanced undergraduate and beginning graduate-level students as well as for independent study. Scientists and engineers who are working in the field will also find this text to be user friendly and informative.
The Numerical Treatment of Integral Equations
The Numerical Treatment of Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Numerical Treatment of Integral Equations write by Christopher T. H. Baker. This book was released on 1978. The Numerical Treatment of Integral Equations available in PDF, EPUB and Kindle.
