Mathematical and Experimental Modeling of Physical and Biological Processes

1st Edition

H.T. Banks, H.T. Tran

Chapman and Hall/CRC
Published January 12, 2009
Textbook - 298 Pages - 96 B/W Illustrations
ISBN 9781420073379 - CAT# C7337
Series: Textbooks in Mathematics

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  • Discusses mathematical modeling in the context of case study problems that arise in industry and government laboratories
  • Covers thermal imaging and detection, dynamic properties of beams, acoustics and fluid transport, and size-structured population dynamics for marine populations
  • Explains physical and biological relationships and mechanisms through a first principles-based fundamental modeling approach
  • Emphasizes model validation through specific laboratory experiments as well as data collection and analysis
  • Includes several application-oriented projects—all developed by the authors—to enhance learning 
  • Offers real experimental data for projects at CRC Press Online


Through several case study problems from industrial and scientific research laboratory applications, Mathematical and Experimental Modeling of Physical and Biological Processes provides students with a fundamental understanding of how mathematics is applied to problems in science and engineering. For each case study problem, the authors discuss why a model is needed and what goals can be achieved with the model.

Exploring what mathematics can reveal about applications, the book focuses on the design of appropriate experiments to validate the development of mathematical models. It guides students through the modeling process, from empirical observations and formalization of properties to model analysis and interpretation of results. The authors also describe the hardware and software tools used to design the experiments so faculty/students can duplicate them.

Integrating real-world applications into the traditional mathematics curriculum, this textbook deals with the formulation and analysis of mathematical models in science and engineering. It gives students an appreciation of the use of mathematics and encourages them to further study the applied topics. Real experimental data for projects can be downloaded from CRC Press Online.


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