Modeling and Analysis Principles for Chemical and Biological Engineers

Research undertaken by modern chemical and biological engineers
incorporates a wide range of mathematical principles and methods.
This book came about as the authors struggled to incorporate modern
topics into a one- or two-semester course sequence for new graduate
students, while not losing the essential aspects of traditional
mathematical modeling syllabi. Topics that we decided are
particularly important but not represented in traditional texts
include: matrix factorizations such as the singular value
decomposition, basic qualitative dynamics of nonlinear differential
equations, integral representations of partial differential equations,
probability and stochastic processes, and state estimation. The reader
will find many more in the book. These topics are generally absent
in many texts, which often have a bias toward the mathematics of
19th- through early 20th-century physics. We also believe that the book will
be of substantial interest to active researchers, as it is in many
respects a survey of the applied mathematics commonly encountered by
chemical and biological engineering practitioners, and contains many
topics that were almost certainly absent in their chemical engineering
graduate coursework.