These are draft chapters of a monograph which we have worked on from 1999 through 2005. The monograph discusses polynomial splines, their use in extended linear modeling, and theoretical properties of such spline models. The monograph is currently incomplete. In particular:

- The earlier chapters especially miss critical references, not always giving credit where credit is due.
- For most of the chapters the references are incomplete, and the chapters are lacking a bibliography.
- There is no index.
- Cross-references are missing, and the notation is inconsistent.

All chapters are copyright by M.H. Hansen, J. Z. Huang, C. Kooperberg, C. J. Stone, and Y. K. Truong.

- Table of Contents
- Chapter 1 Introduction
- Chapter 2 Preliminaries
- Chapter 3 Linear Models
- Chapter 4 Generalized Linear Models
- Chapter 5 Polychotomous Regression and Multiple Classification
- Chapter 6 Density Estimation
- Chapter 7 Survival Analysis
- Chapter 8 Estimation of the Spectral Distribution
- Chapter 9 Multivariate Splines
- Chapter 10 Alternate Optimization Methods
- Chapter 11 Rates of Convergence in Extended Linear Modeling
- Chapter 12 Extended Linear Modeling with Free Knot Splines
- Bibliography (not for Chapters 3, 4, 11, and 12).