id: 06610671
dt: b
an: 2016d.00786
au: Baker, Gregory
ti: Differential equations as models in science and engineering.
so: Hackensack, NJ: World Scientific (ISBN 978-981-4656-96-2/hbk;
978-981-4656-97-9/pbk). xxi, 368~p. (2016).
py: 2016
pu: Hackensack, NJ: World Scientific
la: EN
cc: I75 M55
ut:
ci:
li: doi:10.1142/9514
ab: Publisherâ€™s 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.
rv: