Birkhoff Interpolation (Paperback)

1. Basic definitions and properties; 2. Further elementary theorems; 3. Coalescence of rows; 4. Applications of coalescence; 5. Rolle extensions and independent sets of knots; 6. Singular matrices; 7. Zeros of Birkhoff splines; 8. Almost-Hermitian matrices; special three-row matrices; 9. Applications; 10. Birkhoff quadrature formulas; 11. Interpolation at the roots of unity; 12. Turan's problem of interpolation; 13. Birkhoff interpolation by splines; 14. Regularity theorems and self-dual problems; Bibliography and references; Indexes.