This book provides a thorough introduction to the challenge of applying
mathematics in real-world scenarios. Modelling tasks rarely involve
well-defined categories, and they often require multidisciplinary input
from mathematics, physics, computer sciences, or engineering. In keeping
with this spirit of modelling, the book includes a wealth of
cross-references between the chapters and frequently points to the
real-world context.
The book combines classical approaches to modelling with novel areas
such as soft computing methods, inverse problems, and model uncertainty.
Attention is also paid to the interaction between models, data and the
use of mathematical software. The reader will find a broad selection of
theoretical tools for practicing industrial mathematics, including the
analysis of continuum models, probabilistic and discrete phenomena, and
asymptotic and sensitivity analysis.