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The Resource An Introduction to the Mathematical Theory of Inverse Problems, by Andreas Kirsch, (electronic resource)
An Introduction to the Mathematical Theory of Inverse Problems, by Andreas Kirsch, (electronic resource)
Resource Information
The item An Introduction to the Mathematical Theory of Inverse Problems, by Andreas Kirsch, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item An Introduction to the Mathematical Theory of Inverse Problems, by Andreas Kirsch, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with illposed problems. Basic properties of regularization methods for linear illposed problems are studied by means of several simple analytical and numerical examples. The second part of the book presents three special nonlinear inverse problems in detail  the inverse spectral problem, the inverse problem of electrical impedance tomography (EIT), and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. In this new edition, the Factorization Method is included as one of the prominent members in this monograph. Since the Factorization Method is particularly simple for the problem of EIT and this field has attracted a lot of attention during the past decade a chapter on EIT has been added in this monograph. The book is highly illustrated and contains many exercises. This together with the choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students in mathematics and engineering
 Language

 eng
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (313 p.)
 Note
 Description based upon print version of record
 Contents

 Introduction and Basic Concepts
 Regularization Theory for Equations of the First Kind
 Regularization by Discretization
 Inverse Eigenvalue Problems
 An Inverse Problem in Electrical Impedance Tomography
 An Inverse Scattering Problem
 References
 Index
 Isbn
 9781441984746
 Label
 An Introduction to the Mathematical Theory of Inverse Problems
 Title
 An Introduction to the Mathematical Theory of Inverse Problems
 Statement of responsibility
 by Andreas Kirsch
 Language

 eng
 eng
 Summary
 This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with illposed problems. Basic properties of regularization methods for linear illposed problems are studied by means of several simple analytical and numerical examples. The second part of the book presents three special nonlinear inverse problems in detail  the inverse spectral problem, the inverse problem of electrical impedance tomography (EIT), and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. In this new edition, the Factorization Method is included as one of the prominent members in this monograph. Since the Factorization Method is particularly simple for the problem of EIT and this field has attracted a lot of attention during the past decade a chapter on EIT has been added in this monograph. The book is highly illustrated and contains many exercises. This together with the choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students in mathematics and engineering
 http://library.link/vocab/creatorName
 Kirsch, Andreas
 Dewey number

 515.357
 515/.357
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 E0faDSoUV9o
 Language note
 English
 LC call number
 QA370380
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Applied Mathematical Sciences,
 Series volume
 120
 http://library.link/vocab/subjectName

 Differential equations, partial
 Differential Equations
 Engineering mathematics
 Partial Differential Equations
 Ordinary Differential Equations
 Mathematical and Computational Engineering
 Label
 An Introduction to the Mathematical Theory of Inverse Problems, by Andreas Kirsch, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 305307) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Introduction and Basic Concepts  Regularization Theory for Equations of the First Kind  Regularization by Discretization  Inverse Eigenvalue Problems  An Inverse Problem in Electrical Impedance Tomography  An Inverse Scattering Problem  References  Index
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (313 p.)
 Form of item
 online
 Isbn
 9781441984746
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781441984746
 Specific material designation
 remote
 System control number

 (CKB)2670000000076194
 (EBL)973232
 (OCoLC)771414437
 (SSID)ssj0000508449
 (PQKBManifestationID)11346824
 (PQKBTitleCode)TC0000508449
 (PQKBWorkID)10555076
 (PQKB)10717158
 (DEHe213)9781441984746
 (MiAaPQ)EBC973232
 (EXLCZ)992670000000076194
 Label
 An Introduction to the Mathematical Theory of Inverse Problems, by Andreas Kirsch, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 305307) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Introduction and Basic Concepts  Regularization Theory for Equations of the First Kind  Regularization by Discretization  Inverse Eigenvalue Problems  An Inverse Problem in Electrical Impedance Tomography  An Inverse Scattering Problem  References  Index
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (313 p.)
 Form of item
 online
 Isbn
 9781441984746
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781441984746
 Specific material designation
 remote
 System control number

 (CKB)2670000000076194
 (EBL)973232
 (OCoLC)771414437
 (SSID)ssj0000508449
 (PQKBManifestationID)11346824
 (PQKBTitleCode)TC0000508449
 (PQKBWorkID)10555076
 (PQKB)10717158
 (DEHe213)9781441984746
 (MiAaPQ)EBC973232
 (EXLCZ)992670000000076194
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Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

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History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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