TY  - BOOK
AU  -  Fulford,Glenn R.
AU  -  Broadbridge,Philip
TI  - Industrial Mathematics: Case Studies in the Diffusion of Heat and Matter [ electronic resource ] 
SN  -  9780511613210 ( e-book )
U1  - 621.5022015118 21
PY  - 2010///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Mathematical Modeling and Methods
KW  - Recreational Mathematics
KW  -  Abstract Analysis
KW  -  Mathematics
KW  - Electronic books
N2  - The focus in this text is on mathematical modelling stimulated by contemporary industrial problems involving heat conduction and mass diffusion. These include continuous metal casting, laser drilling, spontaneous combustion of industrial waste, water filtration and crop irrigation. The industrial problems prove to be an excellent setting for the introduction and reinforcement of modelling skills, equation solving techniques, qualitative understanding of partial differential equations and their dynamical properties. Mathematical topics include setting up partial differential equations and boundary conditions, dimensional analysis, scaling, perturbation expansions, boundary value problems, Fourier series, symmetry reductions, Stefan problems and bifurcations. For students of mathematics, engineering, or any other related discipline, this will be a great introduction to modelling the real world
UR  - https://doi.org/10.1017/CBO9780511613210
ER  -