Rice R.G., Do D.D. Applied Mathematics And Modeling For Chemical Engineers

2nd Edition. — Wiley, 2012. — 397 p. — ISBN: 1118024729 9781118024720This is an excellent book that talks about various mathematical tools and its applications for Process Modeling. This edition of the go-to reference combines the classical analysis and modern applications of applied mathematics for chemical engineers.The book introduces traditional techniques for solving ordinary differential equations (ODEs), adding new material on approximate solution methods such as perturbation techniques and elementary numerical solutions. It also includes analytical methods to deal with important classes of finite-difference equations. The last half discusses numerical solution techniques and partial differential equations (PDEs).
The reader will then be equipped to apply mathematics in the formulation of problems in chemical engineering.Preface to the Second Edition
Formulation of Physicochemical Problems
Solution Techniques for Models Yielding Ordinary Differential Equations
Series Solution Methods and Special Functions
Integral Functions
Staged-Process Models: The Calculus of Finite Differences
Approximate Solution Methods for ODE: Perturbation Methods
Numerical Solution Methods (Initial Value Problems)
Approximate Methods for Boundary Value Problems: Weighted Residuals
Introduction to Complex Variables and Laplace Transforms
Solution Techniques for Models Producing PDEs
Transform Methods for Linear PDEs
Approximate and Numerical Solution Methods for PDEs
Appendix A: Review of Methods for Nonlinear Algebraic Equations
Appendix B: Derivation of the Fourier—Mellin Inversion Theorem
Appendix C: Table of Laplace Transforms
Appendix D: Numerical Integration
Appendix E: Nomenclature
Postface