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About this book
About this book
Written by experienced instructors, this text provides a fundamental understanding of how mathematics is applied to problems in science and engineering. It takes a case study approach, in considering problems that arise in industrial and scientific laboratories. Both hardware and software tools are detailed, so that experiments can be readily duplicated.
The Iterative Modeling Process and Inverse Problems; Statistical Hypothesis Testing in Inverse Problems; Mass Balance and Mass Transport; Heat Conduction; Force/Moments Balance (Structural Modeling); Wave Equations; Size-Structured Population Models; Appendices: An Introduction to Fourier Techniques, Fourier Series, Fourier Transforms, Review of Vector Calculus
North Carolina State University, Raleigh, USA University of Maryland, College Park, USA
275 pages, illustrations
!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