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The purpose of this chapter is to provide a survey of our book by placing what we have to say in a historical context.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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exterior impedance problem, inverse medium problem, interior transmission problem, dual space method, inverse obstacle problem, kernel ikg, exterior impedance boundary value problem, injective compact linear operator, radiating solution, transmission eigenvalues, trivial nullspace, direct scattering problem, spherical vector wave functions, obstacle scattering problem, spherical wave functions, unique continuation principle, unknown scatterer, field pattern corresponding, inverse solver, jump relations, inverse scattering problem, physical optics approximation, boundary integral operators, electromagnetic analogue, exterior boundary value problems
Key Phrases - Capitalized Phrases (CAPs):
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Div Grad, Riesz-Fredholm Theorem
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