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.
