Mathematical Models in the Applied Sciences

This book presents a thorough grounding in the techniques of modeling, and proceeds to explore a range of continuum models from an impressive array of disciplines, including biology, chemical engineering, fluid and solid mechanics, geophysics, medicine, and physics. It assumes only a basic mathematical grounding in calculus and analysis and will provide a wealth of examples for students of mathematics, engineering, and the range of applied sciences.

In mathematical modelling a "real-world" problem is dissected and phrased in a mathematical setting, allowing it to be simplified and ultimately solved. This book presents a thorough grounding in the techniques and proceeds to explore a range of classical and continuum models.