Mathematical Modeling: A Chemical Engineer's PerspectiveMathematical 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.
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... 283 Bifurcation Analysis 286 (a) Model Symmetry 286 (b) Steady-State Bifurcations 287 . The Stability of the Steady States 294 . Hopf Bifurcations 298 : : 6. Homoclinic Bifurcations 302 7. Discussion 303 References 305 L. CONTENTS.
... Hopf Bifurcations with Hard Resonances 323 5. Discussion 327 References 331 : 10 Mass and Heat Transfer M. An Example of the Relation between Discrete and Continuous Models 337 The Geometry of the Hexaga 337 Heat Transfer 339 The ...
... Hopf bifurcation. Then a synoptic presentation is achieved in Fig. 21 by surrounding the branch set with the nine possible bifurcation diagrams. They, in turn, have axes that are divided into intervals (designated by Latin capitals) ...
... Hopf bifurcation at the end of the 1960s and the soon-to-be-transmogrified catastrophe theory of Zeeman. Ray has followed up this type of analysis in studies of polymerization and other important processes. Meanwhile, singularity theory ...
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Contents
MATTER | 105 |
MISCELLANEA | 417 |
BIBLIOGRAPHY | 455 |
INDEX OF GRADUATE STUDENTS AND COAUTHORS | 467 |
SUBJECT INDEX TO THE PAPERS IN THE BIBLIOGRAPHY | 469 |
INDEX | 473 |