Mathematical Modelling

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Mathematical Modelling
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Author : Simon Serovajsky
language : en
Publisher: CRC Press
Release Date : 2021-11-23
Mathematical Modelling written by Simon Serovajsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-23 with Mathematics categories.
Mathematical Modelling sets out the general principles of mathematical modelling as a means comprehending the world. Within the book, the problems of physics, engineering, chemistry, biology, medicine, economics, ecology, sociology, psychology, political science, etc. are all considered through this uniform lens. The author describes different classes of models, including lumped and distributed parameter systems, deterministic and stochastic models, continuous and discrete models, static and dynamical systems, and more. From a mathematical point of view, the considered models can be understood as equations and systems of equations of different nature and variational principles. In addition to this, mathematical features of mathematical models, applied control and optimization problems based on mathematical models, and identification of mathematical models are also presented. Features Each chapter includes four levels: a lecture (main chapter material), an appendix (additional information), notes (explanations, technical calculations, literature review) and tasks for independent work; this is suitable for undergraduates and graduate students and does not require the reader to take any prerequisite course, but may be useful for researchers as well Described mathematical models are grouped both by areas of application and by the types of obtained mathematical problems, which contributes to both the breadth of coverage of the material and the depth of its understanding Can be used as the main textbook on a mathematical modelling course, and is also recommended for special courses on mathematical models for physics, chemistry, biology, economics, etc.
Mathematical Modeling
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Author : Christof Eck
language : en
Publisher: Springer
Release Date : 2017-04-11
Mathematical Modeling written by Christof Eck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-11 with Mathematics categories.
Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application. Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.
Mathematical Modelling
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Author : John Berry
language : en
Publisher: Gulf Professional Publishing
Release Date : 1995-06-17
Mathematical Modelling written by John Berry and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-06-17 with Mathematics categories.
Assuming virtually no prior knowledge, Modular Mathematics encourages the reader to develop and solve real models, as well as looking at traditional examples. Accessible and concise, it contains tutorial problems, case studies and exercises.
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.
A Primer On Mathematical Modelling
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Author : Alfio Quarteroni
language : en
Publisher: Springer Nature
Release Date : 2020-10-09
A Primer On Mathematical Modelling written by Alfio Quarteroni and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-09 with Mathematics categories.
In this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform equations into algorithms and algorithms into programs to be executed on computers. A broad variety of examples and exercises illustrate that properly designed models can, e.g.: predict the way the number of dolphins in the Aeolian Sea will change as food availability and fishing activity vary; describe the blood flow in a capillary network; calculate the PageRank of websites. This book also includes a chapter with an elementary introduction to Octave, an open-source programming language widely used in the scientific community. Octave functions and scripts for dealing with the problems presented in the text can be downloaded from https://paola-gervasio.unibs.it/quarteroni-gervasio This book is addressed to any student interested in learning how to construct and apply mathematical models.
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 Mathematical models categories.
Aspects Of Mathematical Modelling
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Author : Roger J. Hosking
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-02
Aspects Of Mathematical Modelling written by Roger J. Hosking 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 2008-03-02 with Mathematics categories.
The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.
Mathematical Modelling
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Author : Seppo Pohjolainen
language : en
Publisher: Springer
Release Date : 2016-07-14
Mathematical Modelling written by Seppo Pohjolainen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-14 with Mathematics categories.
This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.
Mathematical Modelling
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Author : Reinhard Illner
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Mathematical Modelling written by Reinhard Illner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
"This is an ideal text for classes on modelling. It can also be used in seminars or as preparation for mathematical modelling competitions."--BOOK JACKET.
Mathematical Modeling
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Author : Sandip Banerjee
language : en
Publisher: CRC Press
Release Date : 2014-02-07
Mathematical Modeling written by Sandip Banerjee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-07 with Mathematics categories.
Almost every year, a new book on mathematical modeling is published, so, why another? The answer springs directly from the fact that it is very rare to find a book that covers modeling with all types of differential equations in one volume. Until now. Mathematical Modeling: Models, Analysis and Applications covers modeling with all kinds of differe