Chapters in this book

1. Frontmatter i
2. Contents vii
3. Preface xi
4. Chapter 1. Introduction 1
5. Chapter 2. Basic Concepts of Probability Theory 9
6. Chapter 3. Survey of Orthogonal Polynomials and Approximation Theory 25
7. Chapter 4. Formulation of Stochastic Systems 44
8. Chapter 5. Generalized Polynomial Chaos 57
9. Chapter 6. Stochastic Galerkin Method 68
10. Chapter 7. Stochastic Collocation Method 78
11. Chapter 8. Miscellaneous Topics and Applications 89
12. Appendix A Some Important Orthogonal Polynomials in the Askey Scheme 105
13. Appendix B The Truncated Gaussian Model G(α, β) 113
14. References 117
15. Index 127