David Colton is Unidel Professor of Mathematics at the University of Delaware. He is the author or coauthor of six books, including The Linear Sampling Method in Inverse Electromagnetic Scattering (2011), written with Fioralba Cakoni and Peter Monk. Rainer Kress is a Full Professor of Numerical and Applied Mathematics at the University of Gottingen. He has been a member of the Gottingen Academy of Sciences since 1995 and Professor Emeritus since 2010. He is the author or coauthor of five books.

• Preface to the Classics EditionPrefaceSymbolsChapter 1: The Riesz-Fredholm Theory for Compact OperatorsChapter 2: Regularity Properties of Surface PotentialsChapter 3: Boundary-Value Problems for the Scalar Helmholtz EquationChapter 4: Boundary-Value Problems for the Time-Harmonic Maxwell Equations and the Vector Helmholtz EquationChapter 5: Low Frequency Behavior of Solutions to Boundary-Value Problems in Scattering TheoryChapter 6: The Inverse Scattering Problem: Exact DataChapter 7: Improperly Posed Problems and Compact FamiliesChapter 8: The Determination of the Shape of an Obstacle from Inexact Far-Field DataChapter 9: Optimal Control Problems in Radiation and Scattering TheoryReferencesIndex.

David Colton is Unidel Professor of Mathematics at the University of Delaware. He is the author or coauthor of six books, including The Linear Sampling Method in Inverse Electromagnetic Scattering (2011), written with Fioralba Cakoni and Peter Monk. Rainer Kress is a Full Professor of Numerical and Applied Mathematics at the University of Gottingen. He has been a member of the Gottingen Academy of Sciences since 1995 and Professor Emeritus since 2010. He is the author or coauthor of five books.

• Preface to the Classics EditionPrefaceSymbolsChapter 1: The Riesz-Fredholm Theory for Compact OperatorsChapter 2: Regularity Properties of Surface PotentialsChapter 3: Boundary-Value Problems for the Scalar Helmholtz EquationChapter 4: Boundary-Value Problems for the Time-Harmonic Maxwell Equations and the Vector Helmholtz EquationChapter 5: Low Frequency Behavior of Solutions to Boundary-Value Problems in Scattering TheoryChapter 6: The Inverse Scattering Problem: Exact DataChapter 7: Improperly Posed Problems and Compact FamiliesChapter 8: The Determination of the Shape of an Obstacle from Inexact Far-Field DataChapter 9: Optimal Control Problems in Radiation and Scattering TheoryReferencesIndex.