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On 2D Inverse ProblemsEdit
by David V. IngermanEdit
 About the book
 Summary
 Summary
 Background
 Graphs and manifolds
 Harmonic functions
 On random processes
 Special matrices and determinants
 Electrical networks
 The inverse problems
 Three classical problems
 On the inverse problem of Calderon
 "Can One Hear the Shape of a Drum?"
 On inhomogeneous string of Krein
 Embedded graphs
 YΔ and starmesh transforms
 Medial graphs
 Dual graphs and harmonic conjugates
 Determining genus of a graph
 Hamiltonian paths in graphs
 The new spectral theorem
 The layered case
 Fourier coordinates
 Stieltjes continued fractions
 Blaschke products
 PickNevanlinna interpolation
 Cauchy matrices
 Solution of the inverse problem
 The square root of minus Laplacian
 The case of the unit disc
 One more graph example
 Zolotarev problem
 Discrete and continuous models
 Kernel of DirichlettoNeumann map
 Riemann mapping theorem
 Hilbert transfrom
 Schrodinger equation
 Variation diminition property
 Spectral properties
 Notation
 Notation
 Acknowledgements
 Acknowledgements
 Bibliography
 Bibliography
 About the author