Birkhoff Interpolation Book

Editor's statement; Preface; Introduction;

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. Singluar matrice;
7. Zeros of Birkhoff splines;
8. Almost0hermitian matrices; special three-row matrices;
9. Applications;
10. Birkhoff quadrature formulas;
11. Interpolation at the roots of unity;
12. Turán's problem of (0,2) interpolation;
13. Birkhoff interpolation by splines;
14. Regularity theorems and self-dual problems; Bibliography and references; Symbol index; Subject index.