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A Concrete Approach to Mathematical Modelling

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Published by Wiley-Interscience .
Written in English

Book details:

Edition Notes

Wiley-Interscience Paperback Series

StatementMike Mesterton-Gibbons
The Physical Object
Number of Pages620
ID Numbers
Open LibraryOL7596703M
ISBN 100470171073
ISBN 109780470171073

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A Concrete Approach to Mathematical Modelling provides in-depth and systematic coverage of the art and science of mathematical modelling. Dr. Dr. Mesterton-Gibbons shows how the modelling process works and includes fascinating examples from virtually every realm of human, machine, natural, and cosmic activity. Developed a model for transport and reaction of water and silicates in hardened concrete. Calibration and comparison to a very detailed set of experiments. Numerical simulations support the hypothesis that hydration of residual silicates is responsible for anomalous water transport observed in . Dec 17,  · Professor Velten suggests an elegant approach to mathematical modeling, carefully going through all important steps from identification of a problem, definition of the associated system under study and analysis of the system's properties to design of a mathematical model for the system, its numerical simulation and validation.". in their areas ofwork. The book was about halfofthe complete course, the rest being statistical modelling. Everything I write in this book from now on is addressed to the reader on the assumption that he or she has a similar background, and similar or broader interests. I assume, in other words, that you are not a mathematician, physi-.

Each Chapter Of The Book Deals With Mathematical Modelling Through One Or More Specified Techniques. Thus There Are Chapters On Mathematical Modelling Through Algebra, Geometry, Trigonometry And Calculus, Through Ordinary Differential Equations Of First And Second Order, Through Systems Of Differential Equations, Through Difference Equations, Through Partial Differential 5/5(4). 1. Mathematical modeling and Instructional Approaches Using Mathematical Modeling According to Boaler [2], mathematical modelling theory focuses on individuals and suggests that knowledge is created as a result of a series of interactions between people and the world. Note (More than ‘‘l’art pour l’art’’) The system and the question relating to the system are indispensable parts of a mathematical model. It is a genuine property of mathematical models to be more than mathematical ‘‘l’art pour l’art’’. Mar 19,  · There are numerous mathematical modeling books at different levels and which focus on different topics. I’ll discuss some of these, along with some of my current thoughts as I start to design a lower-division mathematical modeling course for UCLA’.

Jan 16,  · But Cundy's book offers the possibility of enjoying a broader range of mathematical ideas in the same concrete way as building polyhedra. Later chapters, for instance, describe ways of building mechanical devices to create complex three-dimensional curves, and the last chapter describes simple electrical circuits that embody principles of Boolean logic, demonstrating in turn the fundamentals of modern /5(6). Well, I could do it in one word: Fantastic. This book approaches mathematical modelling from a conceptual level, with Rutherford explaining how to make numbers dance through equations any which way you want by: Nov 24,  · Concrete: In this stage, the teacher begins instruction by modeling each mathematical concept with concrete materials. In other words, this stage is the “doing” stage, using concrete objects to model problems. "A Concrete Approach to Mathematical Modeling" has a great deal to offer professionals in many industries who are grappling with methods for modeling dynamic systems. Some minor errors were not corrected in the 2nd edition, but are corrected on the author's errata sheet/5(6).