Description

This textbook develops a coherent view of
differential equations by progressing through
a series of typical examples in science and
engineering that arise as mathematical
models. All steps of the modeling process are
covered: formulation of a mathematical model:
the development and use of mathematical
concepts that lead to constructive solutions:
validation of the solutions: and consideration
of the consequences. The volume engages
students in thinking mathematically, while
emphasizing the power and relevance of
mathematics in science and engineering. There
are just a few guidelines that bring coherence
to the construction of solutions as the book
progresses through ordinary to partial
differential equations using examples from
mixing, electric circuits, chemical reactions
and transport processes, among others. The
development of differential equations as
mathematical models and the construction
of their solution is placed center stage in this
volume.