Mathematical modeling is the art and craft of building a system of equations that is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. Mathematical Modeling: A Chemical Engineer's Perspective provides an elementary introduction to the craft by one of the century's most distinguished practitioners. Though the book is written from a chemical engineering viewpoint, the principles and pitfalls are common to all mathematical modeling of physical systems. Seventeen of the author's frequently cited papers are reprinted to illustrate applications to convective diffusion, formal chemical kinetics, heat and mass transfer, and the philosophy of modeling. An essay of acknowledgments, asides, and footnotes captures personal reflections on academic life and personalities.

Mathematical Modeling: A Chemical Engineer's Perspective (Volume 1) (Process Systems Engineering, Volume 1)

Aris, Rutherford

Computers & Technology

Academic Press

Elementary Chemical Reactor Analysis

PRENTICE/HALL

This first volume of a highly regarded 2-volume text is fully usable on its own. The authors discuss mathematical models that yield first-order partial differential equations; motivations, classifications, and methods of solution; linear and semilinear equations; and much more. Exercises appear at the end of most sections. 1986 edition. Includes 189 black-and-white illustrations. Author and subject indices.

First-Order Partial Differential Equations: Theory and Application of Single Equations (PRENTICE-HALL INTERNATIONAL SERIES IN THE PHYSICAL AND CHEMICAL ENGINEERING SCIENCES)

Science & Math

Rhee, Hyun-Ku

Amundson, Neal Russell

Mathematics

First-Order Partial Differential Equjations, Vol. 2: Theory and Application of Hyperbolic Systems of Quasilinear Equations

First-Order Partial Differential Equjations, Vol. 2: Theory and Application of Hyperbolic Systems of Quasilinear Equations

Second Library Copy. San Diego Air and Space Museum.

Vectors, Tensors, and the Basic Equations of Fluid Mechanics

Engineering & Transportation

Engineering

The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts. Volume 1: The Theory of the Steady State. Volume 2: Questions of Uniqueness Stability and transient Behavior. 2 Volume Set

Oxford University Press

The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts (Oxford Studies in Physics)

Chemistry

"Engaging, elegantly written." — Applied Mathematical ModellingMathematical modelling is a highly useful methodology designed to enable mathematicians, physicists and other scientists to formulate equations from a given nonmathematical situation. In this elegantly written volume, a distinguished theoretical chemist and engineer sets down helpful rules not only for setting up models but also for solving the mathematical problems they pose and for evaluating models.The author begins with a discussion of the term "model," followed by clearly presented examples of the different types of models (finite, statistical, stochastic, etc.). He then goes on to discuss the formulation of a model and how to manipulate it into its most responsive form. Along the way Dr. Aris develops a delightful list of useful maxims for would-be modellers. In the final chapter he deals not only with the empirical validation of models but also with the comparison of models among themselves, as well as with the extension of a model beyond its original "domain of validity."Filled with numerous examples, this book includes three appendices offering further examples treated in more detail. These concern longitudinal diffusion in a packed bed, the coated tube chromatograph with Taylor diffusion and the stirred tank reactor. Six journal articles, a useful list of references and subject and name indexes complete this indispensable, well-written guide."A most useful, readable-and stimulating-book, to be read both for pleasure and for enlightenment." — Bulletin of the Institute of Mathematics and Its Applications

Mathematical Modelling Techniques (Research Notes in Mathematics)

Pitman Publishing

Treats the fundamentals of chemical reactor analysis and provides essential mathematics. Each subject is introduced with a simple example before the general case is developed, and covers stoichiometry, thermochemistry, chemical kinetics, and several models of basic reactors.

Elementary Chemical Reactor Analysis: Butterworths Series in Chemical Engineering

Butterworth-Heinemann

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