This book discusses mathematical modeling in the context of case study problems that arise in industry and government laboratories. It covers thermal imaging and detection, dynamic properties of beams, acoustics and fluid transport, and size-structured population dynamics for marine populations. The text explains physical and biological relationships and mechanisms through a principles-based fundamental modeling approach. It also emphasizes model validation through specific laboratory experiments as well as data collection and analysis. Real experimental data for projects can be downloaded from CRC Press Online.

Introduction: The Iterative Modeling Process. Modeling and Inverse Problems. Mathematical and Statistical Aspects of Inverse Problems. Mass Balance and Mass Transport. Heat Conduction. Structural Modeling: Force/Moments Balance. Beam Vibrational Control and Real-Time Implementation. Wave Propagation. Size-Structured Population Models. Appendices.