Linear Integral Equations

Nonfiction, Science & Nature, Mathematics, Number Systems, Mathematical Analysis
Cover of the book Linear Integral Equations by Rainer Kress, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Rainer Kress ISBN: 9781461495932
Publisher: Springer New York Publication: December 4, 2013
Imprint: Springer Language: English
Author: Rainer Kress
ISBN: 9781461495932
Publisher: Springer New York
Publication: December 4, 2013
Imprint: Springer
Language: English

This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter.

For this third edition in  order to make the introduction to the basic functional analytic tools more complete the Hahn–Banach extension theorem and the Banach open mapping theorem are now included in the text. The treatment of boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in the classical Holder space setting and of both integral equations of the first and second kind in the contemporary Sobolev space setting. In the numerical solution part of the book, the author included a new collocation method for two-dimensional hypersingular boundary integral equations and a collocation method for the three-dimensional Lippmann-Schwinger equation. The final chapter of the book on inverse boundary value problems for the Laplace equation has been largely rewritten with special attention to the trilogy of decomposition, iterative and sampling methods

Reviews of earlier editions:

"This book is an excellent introductory text for students, scientists, and engineers who want to learn the basic theory of linear integral equations and their numerical solution."

(Math. Reviews, 2000)

"This is a good introductory text book on linear integral equations. It contains almost all the topics necessary for a student. The presentation of the subject matter is lucid, clear and in the proper modern framework without being too abstract."  (ZbMath, 1999) 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter.

For this third edition in  order to make the introduction to the basic functional analytic tools more complete the Hahn–Banach extension theorem and the Banach open mapping theorem are now included in the text. The treatment of boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in the classical Holder space setting and of both integral equations of the first and second kind in the contemporary Sobolev space setting. In the numerical solution part of the book, the author included a new collocation method for two-dimensional hypersingular boundary integral equations and a collocation method for the three-dimensional Lippmann-Schwinger equation. The final chapter of the book on inverse boundary value problems for the Laplace equation has been largely rewritten with special attention to the trilogy of decomposition, iterative and sampling methods

Reviews of earlier editions:

"This book is an excellent introductory text for students, scientists, and engineers who want to learn the basic theory of linear integral equations and their numerical solution."

(Math. Reviews, 2000)

"This is a good introductory text book on linear integral equations. It contains almost all the topics necessary for a student. The presentation of the subject matter is lucid, clear and in the proper modern framework without being too abstract."  (ZbMath, 1999) 

More books from Springer New York

Cover of the book Neonatal Anesthesia by Rainer Kress
Cover of the book Representation Theory of Finite Groups by Rainer Kress
Cover of the book A Case-Based Guide to Clinical Endocrinology by Rainer Kress
Cover of the book In Situ Chemical Oxidation for Groundwater Remediation by Rainer Kress
Cover of the book Advances in Entrepreneurial Finance by Rainer Kress
Cover of the book Weird Weather by Rainer Kress
Cover of the book Human Walking in Virtual Environments by Rainer Kress
Cover of the book Cognitive Strategy Research by Rainer Kress
Cover of the book The Tumor Microenvironment by Rainer Kress
Cover of the book Fire Safety Challenges of Green Buildings by Rainer Kress
Cover of the book High-/Mixed-Voltage Analog and RF Circuit Techniques for Nanoscale CMOS by Rainer Kress
Cover of the book The Organization of Critical Care by Rainer Kress
Cover of the book Nanotechnology Standards by Rainer Kress
Cover of the book LGBT Psychology by Rainer Kress
Cover of the book Nonlinear Inclusions and Hemivariational Inequalities by Rainer Kress
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy