| Ch. 1 | | Formulation of Physicochemical Problems | | 3 |
| Ch. 2 | | Solution Techniques for Models Yielding Ordinary Differential Equations (ODE) | | 37 |
| Ch. 3 | | Series Solution Methods and Special Functions | | 104 |
| Ch. 4 | | Integral Functions | | 148 |
| Ch. 5 | | Staged-Process Models: The Calculus of Finite Differences | | 164 |
| Ch. 6 | | Approximate Solution Methods for ODE: Perturbation Methods | | 184 |
| Ch. 7 | | Numerical Solution Methods (Initial Value Problems) | | 225 |
| Ch. 8 | | Approximate Methods for Boundary Value Problems: Weighted Residuals | | 268 |
| Ch. 9 | | Introduction to Complex Variables and Laplace Transforms | | 331 |
| Ch. 10 | | Solution Techniques for Models Producing PDEs | | 397 |
| Ch. 11 | | Transform Methods for Linear PDEs | | 486 |
| Ch. 12 | | Approximate and Numerical Solution Methods for PDEs | | 546 |
| | | Appendix A: Review of Methods for Nonlinear Algebraic Equations | | 630 |
| | | Appendix B: Vectors and Matrices | | 644 |
| | | Appendix C: Derivation of the Fourier-Mellin Inversion Theorem | | 663 |
| | | Appendix D: Table of Laplace Transforms | | 671 |
| | | Appendix E: Numerical Integration | | 676 |
| | | Nomenclature | | 694 |
| | | Postface | | 698 |
| | | Index | | 701 |