Formulation Processes In Mathematical Modelling

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Formulation Processes In Mathematical Modelling


Formulation Processes In Mathematical Modelling
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Formulation Processes In Mathematical Modelling


Formulation Processes In Mathematical Modelling
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Author : Vern Treilibs
language : en
Publisher:
Release Date : 1980



Formulation Processes In Mathematical Modelling written by Vern Treilibs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematical models categories.




Mathematical And Experimental Modeling Of Physical And Biological Processes


Mathematical And Experimental Modeling Of Physical And Biological Processes
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Author : H.T. Banks
language : en
Publisher: CRC Press
Release Date : 2009-01-12



Mathematical And Experimental Modeling Of Physical And Biological Processes written by H.T. Banks and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-12 with Mathematics categories.


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.

Mathematical Modelling


Mathematical Modelling
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Author : D. N. P. Murthy
language : en
Publisher: Pergamon
Release Date : 1990



Mathematical Modelling written by D. N. P. Murthy and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.


The critical step in the use of mathematics for solving real world problems is the building of a suitable mathematical model. This book advocates a novel approach to the teaching of the building process for mathematical models, with emphasis on the art as well as the science aspects. Using a case study approach, the book teaches the mathematical modelling process in a comprehensive framework, presenting an overview of the concepts and techniques needed for modelling. The book is structured in three parts; the first dealing with the science aspect; the second dealing with the art aspects; and the third combining self learning exercises for the student and supplementary resource material for the instructor.

Methods Of Mathematical Modelling


Methods Of Mathematical Modelling
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Author : Thomas Witelski
language : en
Publisher: Springer
Release Date : 2015-09-18



Methods Of Mathematical Modelling written by Thomas Witelski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-18 with Mathematics categories.


This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

Learning How To Teach Mathematical Modeling In School And Teacher Education


Learning How To Teach Mathematical Modeling In School And Teacher Education
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Author : Rita Borromeo Ferri
language : en
Publisher: Springer
Release Date : 2017-11-26



Learning How To Teach Mathematical Modeling In School And Teacher Education written by Rita Borromeo Ferri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-26 with Education categories.


This timely resource fills a gap in existing literature on mathematical modeling by presenting both theory- and evidence-based ideas for its teaching and learning. The book outlines four key professional competencies that must be developed in order to effectively and appropriately teach mathematical modeling, and in so doing it seeks to reduce the discrepancies between educational policy and educational research versus everyday teaching practice. Among the key competencies covered are: Theoretical competency for practical work. Task competency for instructional flexibility. Instructional competency for effective and quality lessons. Diagnostic competency for assessment and grading. Learning How to Teach Mathematical Modeling in School and Teacher Education is relevant to practicing and future mathematics teachers at all levels, as well as teacher educators, mathematics education researchers, and undergraduate and graduate mathematics students interested in research based methods for teaching mathematical modeling.

Mathematical Modelling


Mathematical Modelling
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Author : J. Caldwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29



Mathematical Modelling written by J. Caldwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.


Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science and engineering. There has been a constant movement in the emphasis from developing proficiency in purely mathematical techniques to an approach which caters for industrial and scientific applications in emerging new technologies. In this textbook we have attempted to present the important fundamental concepts of mathematical modelling and to demonstrate their use in solving certain scientific and engineering problems. This text, which serves as a general introduction to the area of mathematical modelling, is aimed at advanced undergraduate students in mathematics or closely related disciplines, e.g., students who have some prerequisite knowledge such as one-variable calculus, linear algebra and ordinary differential equations. Some prior knowledge of computer programming would be useful but is not considered essential. The text also contains some more challenging material which could prove attractive to graduate students in engineering or science who are involved in mathematical modelling. In preparing the text we have tried to use our experience of teaching mathematical modelling to undergraduate students in a wide range of areas including mathematics and computer science and disciplines in engineering and science. An important aspect of the text is the use made of scientific computer software packages such as MAPLE for symbolic algebraic manipulations and MA TLAB for numerical simulation.

Mathematical Modelling In Education Research And Practice


Mathematical Modelling In Education Research And Practice
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Author : Gloria Ann Stillman
language : en
Publisher: Springer
Release Date : 2015-07-20



Mathematical Modelling In Education Research And Practice written by Gloria Ann Stillman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-20 with Education categories.


In this volume cultural, social and cognitive influences on the research and teaching of mathematical modelling are explored from a variety of theoretical and practical perspectives. The authors of the current volume are all members of the International Community of Teachers of Mathematical Modelling and Applications, the peak research body in this field. A distinctive feature of this volume is the high number of authors from South American countries. These authors bring quite a different perspective to modelling than has been showcased in previous books in this series, in particular from a cultural point of view. As well as recent international research, there is a strong emphasis on pedagogical issues including those associated with technology and assessment, in the teaching and learning of modelling. Applications at various levels of education are exemplified. The contributions reflect common issues shared globally and represent emergent or on-going challenges.