Book for Spline interpolation I need a book or lecture notes for the course spline interpolation and has best way of explaining  with the proofs of theorems. Thank you!!!

This past spring I took a course on numerical analysis. We used $\textit{Numerical Methods}$ by Anne Greenbaum and Timothy Chartier. The sections on polynomial interpolation were quite detailed and possessed understandable proofs. I highly recommend the text. Their website also contains MATLAB codes for further perusal, although I don't believe there are any uploaded for polynomial interpolation. When I had to present for that course, I did find some adaptable scripts from websites like GitHub.
