Chapman and Hall/CRC
500 pages | 97 B/W Illus.
Introduction to Mathematical Modeling helps students master the processes used by scientists and engineers to model real-world problems, including the challenges posed by space exploration, climate change, energy sustainability, chaotic dynamical systems and random processes.
Primarily intended for students with a working knowledge of calculus but minimal training in computer programming in a first course on modeling, the more advanced topics in the book are also useful for advanced undergraduate and graduate students seeking to get to grips with the analytical, numerical, and visual aspects of mathematical modeling, as well as the approximations and abstractions needed for the creation of a viable model.
The Process of Mathematical Modeling. Modeling with ODEs. Systems of ODES. Stability. Bifurcations. Modeling with PDES. Modeling of Fluid flow. Geophysical Modeling. Nonlinear PDEs. Variational Principles.