Multivariate Birkhoff Interpolation

Univariate interpolation.- Basic properties of Birkhoff interpolation.- Singular interpolation schemes.- Shifts and coalescences.- Decomposition theorems.- Reduction.- Examples.- Uniform Hermite interpolation of tensor-product type.- Uniform Hermite interpolation of type total degree.- Vandermonde determinants.- A theorem of Severi.- Kergin interpolation via Birkhoff interpolation.