The Resource Linear integral equations, Rainer Kress
Linear integral equations, Rainer Kress
Resource Information
The item Linear integral equations, Rainer Kress represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Linear integral equations, Rainer Kress represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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 selfcontained 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 HahnBanach 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 twodimensional hypersingular boundary integral equations and a collocation method for the threedimensional LippmannSchwinger equation
 Language
 eng
 Edition
 Third edition.
 Extent
 1 online resource (xvi, 412 pages).
 Contents

 Normed Spaces
 Bounded and Compact Operators
 Riesz Theory
 Dual Systems and Fredholm Alternative
 Regularization in Dual Systems
 Potential Theory
 Singular Integral Equations
 Sobolev Spaces
 The Heat Equation
 Operator Approximations .Degenerate Kernel Approximation
 Quadrature Methods
 Projection Methods
 Iterative Solution and Stability
 Equations of the First Kind
 Tikhonov Regularization
 Regularization by Discretization
 Inverse Boundary Value Problems
 References
 Index
 Isbn
 9781461495925
 Label
 Linear integral equations
 Title
 Linear integral equations
 Statement of responsibility
 Rainer Kress
 Language
 eng
 Summary
 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 selfcontained 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 HahnBanach 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 twodimensional hypersingular boundary integral equations and a collocation method for the threedimensional LippmannSchwinger equation
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1941
 http://library.link/vocab/creatorName
 Kress, Rainer
 Dewey number
 515/.45
 Index
 index present
 Language note
 English
 LC call number
 QA431
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Applied mathematical sciences
 Series volume
 volume 82
 http://library.link/vocab/subjectName

 Integral equations
 Integral equations
 Lineare Integralgleichung
 Label
 Linear integral equations, Rainer Kress
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Normed Spaces  Bounded and Compact Operators  Riesz Theory  Dual Systems and Fredholm Alternative  Regularization in Dual Systems  Potential Theory  Singular Integral Equations  Sobolev Spaces  The Heat Equation  Operator Approximations .Degenerate Kernel Approximation  Quadrature Methods  Projection Methods  Iterative Solution and Stability  Equations of the First Kind  Tikhonov Regularization  Regularization by Discretization  Inverse Boundary Value Problems  References  Index
 Control code
 865475046
 Dimensions
 unknown
 Edition
 Third edition.
 Extent
 1 online resource (xvi, 412 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9781461495925
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781461495932
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)865475046
 Label
 Linear integral equations, Rainer Kress
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Normed Spaces  Bounded and Compact Operators  Riesz Theory  Dual Systems and Fredholm Alternative  Regularization in Dual Systems  Potential Theory  Singular Integral Equations  Sobolev Spaces  The Heat Equation  Operator Approximations .Degenerate Kernel Approximation  Quadrature Methods  Projection Methods  Iterative Solution and Stability  Equations of the First Kind  Tikhonov Regularization  Regularization by Discretization  Inverse Boundary Value Problems  References  Index
 Control code
 865475046
 Dimensions
 unknown
 Edition
 Third edition.
 Extent
 1 online resource (xvi, 412 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9781461495925
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781461495932
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)865475046
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/LinearintegralequationsRainerKress/aIwjZzomjKc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/LinearintegralequationsRainerKress/aIwjZzomjKc/">Linear integral equations, Rainer Kress</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>