Mathematical Structures And Mathematical Modelling

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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 Structures And Mathematical Modelling
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Author : Isaak Moiseevich I͡Aglom
language : en
Publisher: CRC Press
Release Date : 1986
Mathematical Structures And Mathematical Modelling written by Isaak Moiseevich I͡Aglom and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
A substantial amount of this book is devoted to general questions (including significant material from the history of science, allowing one to follow the formation of modern attitudes on the essence of mathematics and the methods of its applications): only chapters 5 and 6 are devoted to a survey of the basic algebraic structures and a more detailed analysis of a structure associated with some geometric considerations, are of a more concrete character.
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 : J. Caldwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-10
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 2006-04-10 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, engineering, business and management. Recent developments in computer technology and related software have provided the necessary tools of increasing power and sophistication which have significant implications for the use and role of mathematical modelling in the above disciplines. In the past, traditional methods have relied heavily on expensive experimentation and the building of scaled models, but now a more flexible and cost effective approach is available through greater use of mathematical modelling and computer simulation. In particular, developments in computer algebra, symbolic manipulation packages and user friendly software packages for large scale problems, all have important implications in both the teaching of mathematical modelling and, more importantly, its use in the solution of real world problems. Many textbooks have been published which cover the art and techniques of modelling as well as specific mathematical modelling techniques in specialist areas within science and business. In most of these books the mathematical material tends to be rather tailor made to fit in with a one or two semester course for teaching students at the undergraduate or postgraduate level, usually the former. This textbook is quite different in that it is intended to build on and enhance students’ modelling skills using a combination of case studies and projects.
Mathematical Models In The Applied Sciences
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Author : A. C. Fowler
language : en
Publisher: Cambridge University Press
Release Date : 1997-11-28
Mathematical Models In The Applied Sciences written by A. C. Fowler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-28 with Mathematics categories.
Presents a thorough grounding in the techniques of mathematical modelling, and proceeds to explore a range of classical and continuum models from an array of disciplines.
Mathematical Modelling
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Author : Murray S. Klamkin
language : en
Publisher: SIAM
Release Date : 1987-01-01
Mathematical Modelling written by Murray S. Klamkin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Technology & Engineering categories.
Designed for classroom use, this book contains short, self-contained mathematical models of problems in the physical, mathematical, and biological sciences first published in the Classroom Notes section of the SIAM Review from 1975-1985. The problems provide an ideal way to make complex subject matter more accessible to the student through the use of concrete applications. Each section has extensive supplementary references provided by the editor from his years of experience with mathematical modelling.
An Introduction To Mathematical Modeling
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Author : Edward A. Bender
language : en
Publisher: Courier Corporation
Release Date : 2000-03-06
An Introduction To Mathematical Modeling written by Edward A. Bender and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-06 with Mathematics categories.
Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.
Mathematical Modeling And Simulation
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Author : Kai Velten
language : en
Publisher: John Wiley & Sons
Release Date : 2009-06-01
Mathematical Modeling And Simulation written by Kai Velten and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-01 with Science categories.
This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).
Principles Of Mathematical Modeling
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Author : Clive Dym
language : en
Publisher: Academic Press
Release Date : 2004-06-21
Principles Of Mathematical Modeling written by Clive Dym and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-21 with Mathematics categories.
This book provides a readable and informative introduction to the development and application of mathematical models in science and engineering. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools (dimensional analysis, scaling techniques, and approximation and validation techniques). The second half then applies these foundational tools to a broad variety of subjects, including exponenttial growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. An extensive collection of more than 360 problems offer ample opportunity in both a formal course and for the individual reader. (Midwest).
Mathematical Structures And Mathematical Modelling
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Author : I. M. Yaglom
language : en
Publisher: Gordon & Breach Science Pub
Release Date : 1983-03-01
Mathematical Structures And Mathematical Modelling written by I. M. Yaglom and has been published by Gordon & Breach Science Pub this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-03-01 with Mathematics categories.