"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."--Jacket. Read more...
Abstract:
Exploring what mathematics can reveal about applications, this 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. Read more...
Author(s): Tran, H. T.; Banks, H. T
Series: Textbooks in Mathematics
Publisher: CRC Press
Year: 2009
Language: English
Pages: 298
City: Boca Raton
Tags: Математика;Математическая физика;
Content: 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 --
Beam Vibrational Control and Real-Time Implementation --
Wave Propagation --
Size-Structured Population Models --
Appendix A: An Introduction to Fourier Techniques --
Appendix B: Review of Vector Calculus
