Applied mathematics and modeling for chemical engineers
By: Richard G. Rice, emeritus professor Tazewell, Tennessee, Duong D. Do, University of Queensland, St. Lucia, Queensland, Australia
Contributors: Do, Duong D.; Ebook Library
Edition: Second edition.
Published: 2012
Language: eng
Number of pages: 383
ISBN-13: 9781118024720
Subjects: Differential equations; Chemical processes; Mathematical models; Chemical engineering; Mathematics
Description: This book 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. Like the first edition, there are many examples provided as homework and worked examples.
Notes: Includes bibliographical references and index.
Table of contents: title: 1. Formulation of physiochemical problems; title: 2. Solution techniques for models yielding ordinary differential equations; title: 3. Series solution methods and special functions; title: 4. Integral functions; title: 5. Staged-process models: the calculus of finite differences; title: 6. Approximate solution methods for ODE: perturbation methods; title: 7. Numerical solution methods (initial value problems); title: 8. Approximate methods for boundary value problems: weighted residuals; title: 9. Introduction to complex variables and Laplace transforms; title: 10. Solution techniques for models producing PDEs; title: 11. Transform methods for linear PDEs; title: 12. Approximate and numerical solution methods for PDEs; title: Appendices.