Mathematical Modelling
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Mathematical Modelling Of Systems And Analysis
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Author : KAMALANAND, K.
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2018-11-01
Mathematical Modelling Of Systems And Analysis written by KAMALANAND, K. and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-01 with Computers categories.
This book is written with the ideology of providing a simple yet concise explanation on the art of developing mathematical models. This lively and engaging text explicates the basics of mathematical modelling, with special focus on its applications and analysis. Organised in thirteen chapters, the book emphasises the theory and classification of systems, modelling using ordinary differential equations, calculus of variations, stability analysis, system identification and parameter estimation techniques. Also, it includes examples from the areas of mechanics, chemical reactions, biology, population dynamics, epidemiology, and other allied fields of science, engineering and technology. This book is primarily designed for the postgraduate students of mathematics as well as for the undergraduate and postgraduate engineering students of various disciplines for their paper on Modelling and Simulation/Mathematical Modelling and Simulation/Mathematical Modelling. KEY FEATURES • Inclusion of entropy-based modelling, modelling using fractional order ODEs and artificial intelligence along with stability and catastrophe theory is the major highlight of this book. • Figures and tables well support the text. • Numerous worked-out examples make the students aware of problem-solving methodology. • Chapter-end exercises help the students from practice point of view. • References and suggested reading at the end of the book broaden its scope.
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 : Jagat Narain Kapur
language : en
Publisher: New Age International
Release Date : 1988
Mathematical Modelling written by Jagat Narain Kapur and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
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 Modeling
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Author : J. N. Kapur
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-02-15
Mathematical Modeling written by J. N. Kapur and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-15 with Mathematics categories.
This book can be used in courses on mathematical modeling at the senior undergraduate or graduate level, or used as a reference for in-service scientists and engineers. The book provides an overview of mathematical modeling through a panoramic view of applications of mathematics in science and technology. In each chapter, mathematical models are chosen from the physical, biological, social, economic, management, and engineering sciences. The models deal with different concepts, but have a common mathematical structure and bring out the unifying influence of mathematical modeling in different disciplines. Features: Provides a balance between theory and applications Features models from the physical, biological, social, economic, management, and engineering sciences
Mathematical Modeling And Computation In Finance With Exercises And Python And Matlab Computer Codes
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Author : Cornelis W Oosterlee
language : en
Publisher: World Scientific
Release Date : 2019-10-29
Mathematical Modeling And Computation In Finance With Exercises And Python And Matlab Computer Codes written by Cornelis W Oosterlee and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-29 with Business & Economics categories.
This book discusses the interplay of stochastics (applied probability theory) and numerical analysis in the field of quantitative finance. The stochastic models, numerical valuation techniques, computational aspects, financial products, and risk management applications presented will enable readers to progress in the challenging field of computational finance.When the behavior of financial market participants changes, the corresponding stochastic mathematical models describing the prices may also change. Financial regulation may play a role in such changes too. The book thus presents several models for stock prices, interest rates as well as foreign-exchange rates, with increasing complexity across the chapters. As is said in the industry, 'do not fall in love with your favorite model.' The book covers equity models before moving to short-rate and other interest rate models. We cast these models for interest rate into the Heath-Jarrow-Morton framework, show relations between the different models, and explain a few interest rate products and their pricing.The chapters are accompanied by exercises. Students can access solutions to selected exercises, while complete solutions are made available to instructors. The MATLAB and Python computer codes used for most tables and figures in the book are made available for both print and e-book users. This book will be useful for people working in the financial industry, for those aiming to work there one day, and for anyone interested in quantitative finance. The topics that are discussed are relevant for MSc and PhD students, academic researchers, and for quants in the financial industry.
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.
Guide To Mathematical Modelling
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Author : David A Towers
language : en
Publisher: Bloomsbury Publishing
Release Date : 2020-06-06
Guide To Mathematical Modelling written by David A Towers and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-06 with Mathematics categories.
A basic introduction to Mathematical Modelling, this book encourages the reader to participate in the investigation of a wide variety of modelling examples. These are carefully paced so that the readers can identify and develop the skills which are required for successful modelling. The examples also promote an appreciation of the enormous range of problems to which mathematical modelling skills can be usefully applied.
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.
Mathematical Modeling With Computers
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Author : Samuel L. S. Jacoby
language : en
Publisher: Prentice Hall
Release Date : 1980
Mathematical Modeling With Computers written by Samuel L. S. Jacoby and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Computers categories.
"This book is a guide for builders and users of computer implemented mathematical models." -- Preface.
An Introduction To Mathematical Modeling
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Author : Edward A. Bender
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23
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 2012-05-23 with Mathematics categories.
Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.