Mathematical and Experimental Modeling of Physical and Biological Processes: Textbooks in Mathematics
Autor H. T. Banks, H.T. Tranen Limba Engleză Hardback – 12 ian 2009
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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Specificații
ISBN-13: 9781420073379
ISBN-10: 1420073370
Pagini: 298
Ilustrații: 16 Tables, black and white; 96 Illustrations, black and white
Dimensiuni: 156 x 234 x 20 mm
Greutate: 0.59 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Textbooks in Mathematics
Locul publicării:Boca Raton, United States
ISBN-10: 1420073370
Pagini: 298
Ilustrații: 16 Tables, black and white; 96 Illustrations, black and white
Dimensiuni: 156 x 234 x 20 mm
Greutate: 0.59 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Textbooks in Mathematics
Locul publicării:Boca Raton, United States
Public țintă
UndergraduateCuprins
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.
Recenzii
…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
—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
Descriere
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.