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Mathematical Modelling

Mathematical Modelling Book
Author : Jagat Narain Kapur
Publisher : New Age International
Release : 1988
ISBN : 9788122400069
Language : En, Es, Fr & De

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Book Description :

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 Equations, Through Functional Equations And Integral Equations, Through Delay-Differential, Differential-Difference And Integro-Differential Equations, Through Calculus Of Variations And Dynamic Programming, Through Graphs, Through Mathematical Programming, Maximum Principle And Maximum Entropy Principle.Each Chapter Contains Mathematical Models From Physical, Biological, Social, Management Sciences And Engineering And Technology And Illustrates Unity In Diversity Of Mathematical Sciences.The Book Contains Plenty Of Exercises In Mathematical Modelling And Is Aimed To Give A Panoramic View Of Applications Of Modelling In All Fields Of Knowledge. It Contains Both Probabilistic And Deterministic Models.The Book Presumes Only The Knowledge Of Undergraduate Mathematics And Can Be Used As A Textbook At Senior Undergraduate Or Post-Graduate Level For A One Or Two- Semester Course For Students Of Mathematics, Statistics, Physical, Social And Biological Sciences And Engineering. It Can Also Be Useful For All Users Of Mathematics And For All Mathematical Modellers.

Mathematical Modelling

Mathematical Modelling Book
Author : Reinhard Illner,REINHARD AUTOR ILLNER,C. Sean Bohun,Samantha McCollum,Thea van Roode
Publisher : American Mathematical Soc.
Release : 2005
ISBN : 0821836501
Language : En, Es, Fr & De

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Book Description :

Mathematical modelling is a subject without boundaries. It is the means by which mathematics becomes useful to virtually any subject. Moreover, modelling has been and continues to be a driving force for the development of mathematics itself. This book explains the process of modelling real situations to obtain mathematical problems that can be analyzed, thus solving the original problem. In this book the authors have succeeded in demonstrating just how enjoyable this subject can be. Each chapter ends with a set of exercises and some suggestions for class projects. Some projects are extensive; others are more modest. The text was designed to be suitable for a one-term course for advanced undergraduates on modelling. It can also be used in seminars or as preparation for mathematical modelling competitions.

Mathematical Modelling

Mathematical Modelling Book
Author : Seyed M. Moghadas,Majid Jaberi-Douraki
Publisher : John Wiley & Sons
Release : 2018-07-24
ISBN : 1119483999
Language : En, Es, Fr & De

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Book Description :

An important resource that provides an overview of mathematical modelling Mathematical Modelling offers a comprehensive guide to both analytical and computational aspects of mathematical modelling that encompasses a wide range of subjects. The authors provide an overview of the basic concepts of mathematical modelling and review the relevant topics from differential equations and linear algebra. The text explores the various types of mathematical models, and includes a range of examples that help to describe a variety of techniques from dynamical systems theory. The book’s analytical techniques examine compartmental modelling, stability, bifurcation, discretization, and fixed-point analysis. The theoretical analyses involve systems of ordinary differential equations for deterministic models. The text also contains information on concepts of probability and random variables as the requirements of stochastic processes. In addition, the authors describe algorithms for computer simulation of both deterministic and stochastic models, and review a number of well-known models that illustrate their application in different fields of study. This important resource: Includes a broad spectrum of models that fall under deterministic and stochastic classes and discusses them in both continuous and discrete forms Demonstrates the wide spectrum of problems that can be addressed through mathematical modelling based on fundamental tools and techniques in applied mathematics and statistics Contains an appendix that reveals the overall approach that can be taken to solve exercises in different chapters Offers many exercises to help better understand the modelling process Written for graduate students in applied mathematics, instructors, and professionals using mathematical modelling for research and training purposes, Mathematical Modelling: A Graduate Textbook covers a broad range of analytical and computational aspects of mathematical modelling.

Mathematical Modelling

Mathematical Modelling Book
Author : Seyed M. Moghadas,Majid Jaberi-Douraki
Publisher : John Wiley & Sons
Release : 2018-08-28
ISBN : 1119483956
Language : En, Es, Fr & De

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Book Description :

An important resource that provides an overview of mathematical modelling Mathematical Modelling offers a comprehensive guide to both analytical and computational aspects of mathematical modelling that encompasses a wide range of subjects. The authors provide an overview of the basic concepts of mathematical modelling and review the relevant topics from differential equations and linear algebra. The text explores the various types of mathematical models, and includes a range of examples that help to describe a variety of techniques from dynamical systems theory. The book’s analytical techniques examine compartmental modelling, stability, bifurcation, discretization, and fixed-point analysis. The theoretical analyses involve systems of ordinary differential equations for deterministic models. The text also contains information on concepts of probability and random variables as the requirements of stochastic processes. In addition, the authors describe algorithms for computer simulation of both deterministic and stochastic models, and review a number of well-known models that illustrate their application in different fields of study. This important resource: Includes a broad spectrum of models that fall under deterministic and stochastic classes and discusses them in both continuous and discrete forms Demonstrates the wide spectrum of problems that can be addressed through mathematical modelling based on fundamental tools and techniques in applied mathematics and statistics Contains an appendix that reveals the overall approach that can be taken to solve exercises in different chapters Offers many exercises to help better understand the modelling process Written for graduate students in applied mathematics, instructors, and professionals using mathematical modelling for research and training purposes, Mathematical Modelling: A Graduate Textbook covers a broad range of analytical and computational aspects of mathematical modelling.

Aspects of Mathematical Modelling

Aspects of Mathematical Modelling Book
Author : Roger J. Hosking,Ezio Venturino
Publisher : Springer Science & Business Media
Release : 2008-03-02
ISBN : 9783764385910
Language : En, Es, Fr & De

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Book Description :

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.

Guide to Mathematical Modelling

Guide to Mathematical Modelling Book
Author : Dilwyn Edwards,Mike Hamson
Publisher : Macmillan International Higher Education
Release : 2016-01-06
ISBN : 1349100420
Language : En, Es, Fr & De

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Book Description :

The authors' enthusiasm for their subject is eloquently conveyed in this book, and draws the reader very quickly into active investigation of the problems posed. By providing plenty of modelling examples from a wide variety of fields - most of which are familiar from everyday life - the book shows how to apply mathematical ideas to situations which would not previously have been considered to be 'mathematical' in character.

Mathematical Modeling

Mathematical Modeling Book
Author : Ellis Cumberbatch,Alistair Fitt
Publisher : Cambridge University Press
Release : 2001-10
ISBN : 9780521011730
Language : En, Es, Fr & De

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Book Description :

This volume presents thirteen different case studies, ranging from cooking of cereal to the analysis of epidemic waves in animal populations.

Mathematical Modelling in Engineering Human Behaviour 2018

Mathematical Modelling in Engineering   Human Behaviour 2018 Book
Author : Lucas Jódar,Juan Carlos Cortés,Luis Acedo Rodríguez
Publisher : MDPI
Release : 2019-04-15
ISBN : 3038978043
Language : En, Es, Fr & De

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Book Description :

This book includes papers in cross-disciplinary applications of mathematical modelling: from medicine to linguistics, social problems, and more. Based on cutting-edge research, each chapter is focused on a different problem of modelling human behaviour or engineering problems at different levels. The reader would find this book to be a useful reference in identifying problems of interest in social, medicine and engineering sciences, and in developing mathematical models that could be used to successfully predict behaviours and obtain practical information for specialised practitioners. This book is a must-read for anyone interested in the new developments of applied mathematics in connection with epidemics, medical modelling, social issues, random differential equations and numerical methods.

Mathematical Modelling

Mathematical Modelling Book
Author : C Haines,P Galbraith,W Blum,S Khan
Publisher : Elsevier
Release : 2007-08-01
ISBN : 0857099418
Language : En, Es, Fr & De

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Book Description :

This book continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling. Each chapter shows how real life problems can be discussed during university lectures, in school classrooms and industrial research. International experts contribute their knowledge and experience by providing analysis, insight and comment whilst tackling large and complex problems by applying mathematical modelling. This book covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications. Covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications Continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling Shows how real life problems can be discussed during university lectures, in school classrooms and industrial research

Mathematical Modelling

Mathematical Modelling Book
Author : J. Caldwell,Douglas K.S. Ng
Publisher : Springer Science & Business Media
Release : 2006-04-10
ISBN : 1402019939
Language : En, Es, Fr & De

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Book Description :

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 Modeling with Excel

Mathematical Modeling with Excel Book
Author : Brian Albright
Publisher : Jones & Bartlett Learning
Release : 2010
ISBN : 9780763765668
Language : En, Es, Fr & De

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Book Description :

Mathematical modeling is the use of applying mathematics to real-world problems and investigating important questions about their outcomes. Mathematical Modeling with Excel presents various methods used to build and analyze mathematical models in a format that students can quickly comprehend. Excel is used as a tool to accomplish this goal of building and analyzing the models. Ideal for math and secondary math education majors, this text presents a wide variety of common types of models, as well as some new types, and presents each in a unique, easy-to-understand format. End-of-chapter exercises ask students to modify or refine the existing model, analyze it further, or adapt it to similar scenarios.

Mathematical Modelling with Case Studies

Mathematical Modelling with Case Studies Book
Author : Belinda Barnes,Glenn Robert Fulford
Publisher : CRC Press
Release : 2002-07-25
ISBN : 9780415298049
Language : En, Es, Fr & De

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Book Description :

Certain basic modeling skills can be applied to a wide variety of problems. It focuses on those mathematical techniques which are applicable to models involving differential equations. Models in three different areas are considered: growth and decay process, interacting populations and heating/cooling problems. The main mathematical technique is solving differential equations, while the range of applications and mathematical techniques presented provides a broad appreciation of this type of modeling. This book contains three general sections: Compartmental Models, Population Models and Heat Transfer Models. Within each section, the process of constructing a model is presented in full detail. Applications and case studies are integral to this text, and case studies are included throughout. This is a useful course text, and basic calculus and fundamental computing skills are required.

Mathematical Modelling Techniques

Mathematical Modelling Techniques Book
Author : Rutherford Aris
Publisher : Courier Corporation
Release : 2012-06-29
ISBN : 0486138895
Language : En, Es, Fr & De

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Book Description :

Highly useful volume discusses the types of models, how to formulate and manipulate them for best results. Numerous examples.

Mathematical Modelling

Mathematical Modelling Book
Author : D. N. P. Murthy,N. W. Page,Ervin Y. Rodin
Publisher : Pergamon
Release : 1990
ISBN :
Language : En, Es, Fr & De

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Book Description :

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.

Principles of Mathematical Modelling

Principles of Mathematical Modelling Book
Author : Alexander A. Samarskii,Alexander P. Mikhailov
Publisher : CRC Press
Release : 2001-12-20
ISBN : 9780415272803
Language : En, Es, Fr & De

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Book Description :

Mathematical modeling is becoming increasingly versatile and multi-disciplinary. This text demonstrates the broadness of this field as the authors consider the principles of model construction and use common approaches to build models from a range of subject areas. The book reflects the interests and experiences of the authors, but it explores mathematical modeling across a wide range of applications, from mechanics to social science. A general approach is adopted, where ideas and examples are favored over rigorous mathematical procedures. This insightful book will be of interest to specialists, teachers, and students across a wide range of disciplines..

Mathematical Modeling

Mathematical Modeling Book
Author : Sandip Banerjee
Publisher : CRC Press
Release : 2014-02-07
ISBN : 1439854513
Language : En, Es, Fr & De

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Book Description :

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 differential equations, namely ordinary, partial, delay, and stochastic. The book also contains a chapter on discrete modeling, consisting of differential equations, making it a complete textbook on this important skill needed for the study of science, engineering, and social sciences. More than just a textbook, this how-to guide presents tools for mathematical modeling and analysis. It offers a wide-ranging overview of mathematical ideas and techniques that provide a number of effective approaches to problem solving. Topics covered include spatial, delayed, and stochastic modeling. The text provides real-life examples of discrete and continuous mathematical modeling scenarios. MATLAB® and Mathematica® are incorporated throughout the text. The examples and exercises in each chapter can be used as problems in a project. Since mathematical modeling involves a diverse range of skills and tools, the author focuses on techniques that will be of particular interest to engineers, scientists, and others who use models of discrete and continuous systems. He gives students a foundation for understanding and using the mathematics that is the basis of computers, and therefore a foundation for success in engineering and science streams.

Applied Mathematical Modeling

Applied Mathematical Modeling Book
Author : Eetu N. Virtanen
Publisher : Nova Publishers
Release : 2008
ISBN : 9781600219757
Language : En, Es, Fr & De

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Book Description :

This new book focuses on important research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. It includes heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimisation; finite volume, finite element, and boundary element procedures; decision sciences in an industrial and manufacturing context; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.