Mathematical and Experimental Modeling of Physical and Biological Processes
1st Edition
Published on 12. January 2009
Book
Hardback
298 pages
978-1-4200-7337-9 (ISBN)
Description
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.
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.
Reviews / Votes
...would I buy this textbook? Again, absolutely yes! The concise and clear style in which the background is written for each chapter will be invaluable as a quick, 'before the lecture is given' refresher. ... Most of the topics covered are those which have arisen out of the research projects that the authors have conducted themselves. This is the kind of hands-on experience that a lecturer would need in order to make the laboratory experiences for the students enjoyable and rewarding. ... the true value of this textbook, namely, [is that] it provides a stimulus package to provoke the reader to adopt a similar teaching philosophy.-Mathematical Reviews, Issue 2010f
The aim of this book is twofold: to develop some standard models of physical and biological processes (the transport equation, heat conduction, the beam equation, fluid dynamics, and structured population models) in mathematical language, and probably more importantly, to show how and why to design concrete engineering experiments for comparing numerical results of models with specific experimental data. ... The book can be recommended to advanced undergraduate students for whom mathematics is a bit more than just proving theorems. Teachers can find suggestions for motivations for introductory parts of lectures on ordinary differential equations and partial differential equations.
-EMS Newsletter, September 2009
More details
Series
Language
English
Place of publication
Boca Raton
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Undergraduate
Product notice
Paper over boards
Illustrations
96 s/w Abbildungen, 16 s/w Tabellen
16 Tables, black and white; 96 Illustrations, black and white
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 22 mm
Weight
640 gr
ISBN-13
978-1-4200-7337-9 (9781420073379)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
H.T. Banks | H.T. Tran
Mathematical and Experimental Modeling of Physical and Biological Processes
E-Book
01/2009
1st Edition
Chapman & Hall/CRC
€138.99
Available for download
H.T. Banks | H.T. Tran
Mathematical and Experimental Modeling of Physical and Biological Processes
E-Book
01/2009
1st Edition
Chapman and Hall
€138.99
Available for download
Persons
North Carolina State University, Raleigh, USA University of Maryland, College Park, USA
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. Wave Propagation. Size-Structured Population Models. Appendices.