Mathematical Modeling Of Natural Phenomena
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Mathematical Modeling Of Natural Phenomena
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Author : Ranis Ibragimov
language : en
Publisher:
Release Date : 2018
Mathematical Modeling Of Natural Phenomena written by Ranis Ibragimov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Differential equations categories.
Modeling Natural Phenomena Via Cellular Nonlinear Networks
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Author : Angela Slavova
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2018-01-23
Modeling Natural Phenomena Via Cellular Nonlinear Networks written by Angela Slavova and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-23 with Mathematics categories.
This book presents a study of neuroscience models and natural phenomena, such as tsunami waves and tornados. The first part discusses various mathematical models of tsunamis, including the Korteweg–de Vries equation, shallow water equations and the Camassa–Holm equation (CH). In order to study the dynamics of these models, the text uses the Cellular Nonlinear Networks (CNN) approach to discretize the governing equation using a suitable mathematical grid. The second part discusses some of the models arising in the field of neuroscience. It examines the Fitzhugh-Nagumo systems, which are very important for understanding the qualitative nature of nerve impulse propagation. The volume will be of interest to a wide-ranging audience, including PhD students, mathematicians, physicists, engineers and specialists in the domain of nonlinear waves and their applications.
Mathematics In Nature
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Author : John A. Adam
language : en
Publisher: Princeton University Press
Release Date : 2011-10-02
Mathematics In Nature written by John A. Adam and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-02 with Mathematics categories.
From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. Generously illustrated, written in an informal style, and replete with examples from everyday life, Mathematics in Nature is an excellent and undaunting introduction to the ideas and methods of mathematical modeling. It illustrates how mathematics can be used to formulate and solve puzzles observed in nature and to interpret the solutions. In the process, it teaches such topics as the art of estimation and the effects of scale, particularly what happens as things get bigger. Readers will develop an understanding of the symbiosis that exists between basic scientific principles and their mathematical expressions as well as a deeper appreciation for such natural phenomena as cloud formations, halos and glories, tree heights and leaf patterns, butterfly and moth wings, and even puddles and mud cracks. Developed out of a university course, this book makes an ideal supplemental text for courses in applied mathematics and mathematical modeling. It will also appeal to mathematics educators and enthusiasts at all levels, and is designed so that it can be dipped into at leisure.
Visualization Of Natural Phenomena
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Author : Robert S. Wolff
language : en
Publisher: Springer
Release Date : 2014-01-29
Visualization Of Natural Phenomena written by Robert S. Wolff and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-29 with Computers categories.
by David C Nagel In the last five years visualization has gone from the lab to become a desktop technology for many scientists. Images and 3-D renderings of data sets and mathematical models have evolved from the high-priced hardware and customized software of graphics professionals to low-cost, off-the-shelf commercial software running on personal computers. fu such, scientific visualization has taken its place beside mathematical modeling as an everyday means of interacting with one's data. This has significantly changed both the amount and the quality of information that scientists are able to extract from raw data, and has effectively established a new paradigm for scientific computing. In addi tion, new, low-cost hardware and software technologies such as CD-ROMs, digital video, and Apple's QuickTime time-based media of image and and compression technologies have enabled large amounts animation data to be easily accessible to the average researcher or teacher through the personal computer. However, little has been done in the way of providing a context within which the researcher or teacher could learn which approaches might be best suited for a given problem. Furthermore, most scientists are unfamiliar with the terminology and concepts in modern computer graphics, which simply steepens the learning curve for them to apply the new technologies to their work. fu a result, researchers and teachers are not yet taking full advantage of the new paradigm.
The Use Of Mathematical Structures Modelling Real Phenomena
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Author : Olga Moreira
language : en
Publisher: Arcler Press
Release Date : 2022-12
The Use Of Mathematical Structures Modelling Real Phenomena written by Olga Moreira and has been published by Arcler Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12 with categories.
"The Use Of Mathematical Structures: Modelling Real Phenomena" is an edited book consisting of 16 contemporaneous open-access articles that are devoted to the mathematical modelling of natural phenomena. To summarize, this book is about the use of applied mathematics and mathematical analysis in the context of its applications to real-world problems. It includes a selection of real-world problems in fluid dynamics, mechanical engineering, biology, and biochemistry. The last chapters include the mathematical modelling of the COVID-19 virus. The intended audience of this book is undergraduate and graduate students, as well as junior researchers. The reader must have a good knowledge of ordinary differential equations, boundary value problems, fractional calculus, stability theory, and wavelets in order to fully understand the real-world problems and their mathematical modelling included in this book.
A Mathematical Nature Walk
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Author : John A. Adam
language : en
Publisher: Princeton University Press
Release Date : 2011-09-12
A Mathematical Nature Walk written by John A. Adam and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-12 with Nature categories.
How heavy is that cloud? Why can you see farther in rain than in fog? Why are the droplets on that spider web spaced apart so evenly? If you have ever asked questions like these while outdoors, and wondered how you might figure out the answers, this is a book for you. An entertaining and informative collection of fascinating puzzles from the natural world around us, A Mathematical Nature Walk will delight anyone who loves nature or math or both. John Adam presents ninety-six questions about many common natural phenomena--and a few uncommon ones--and then shows how to answer them using mostly basic mathematics. Can you weigh a pumpkin just by carefully looking at it? Why can you see farther in rain than in fog? What causes the variations in the colors of butterfly wings, bird feathers, and oil slicks? And why are large haystacks prone to spontaneous combustion? These are just a few of the questions you'll find inside. Many of the problems are illustrated with photos and drawings, and the book also has answers, a glossary of terms, and a list of some of the patterns found in nature. About a quarter of the questions can be answered with arithmetic, and many of the rest require only precalculus. But regardless of math background, readers will learn from the informal descriptions of the problems and gain a new appreciation of the beauty of nature and the mathematics that lies behind it.
Mathematical Modeling Of Natural Phenomena
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Author : Ranis Ibragimov
language : en
Publisher:
Release Date : 2017-12
Mathematical Modeling Of Natural Phenomena written by Ranis Ibragimov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12 with Differential equations categories.
Mathematical modeling in the form of differential equations is a branch of applied mathematics that includes topics from physics, engineering, environmental and computer science. The mathematical model is an approximate description of real processes. Mathematical modeling can be thought of as a three step process: 1) Physical situation; 2) Mathematical formulation; 3) Solution by purely operations of the mathematical problem; 4) Physical interpretation of the mathematical solution. Over the centuries, Step 2 took on a life of its own. Mathematics was studied on its own, devoid of any contact with a physical problem; this is known as pure mathematics. Applied mathematics and mathematical modeling deals with all three steps. Improvements of approximations or their extensions to more general situations may increase the complexity of mathematical models significantly. Before the 18th century, applied mathematics and its methods received the close attention of the best mathematicians who were driven by a desire to develop approximate descriptions of natural phenomena. The goal of asymptotic and perturbation methods is to find useful, approximate solutions to difficult problems that arise from the desire to understand a physical process. Exact solutions are usually either impossible to obtain or too complicated to be useful. Approximate, useful solutions are often tested by comparison with experiments or observations rather than by rigorous mathematical methods. Hence, the authors will not be concerned with rigorous proofs in this book. The derivation of approximate solutions can be done in two different ways. First, one can find an approximate set of equations that can be solved, or, one can find an approximate solution of a set of equations. Usually one must do both. Models of natural science show that the possibilities of applying differential equations for solving problems in the disciplines of the natural scientific cycle are quite wide. This book represents a unique blend of the traditional analytical and numerical methods enriched by the authors developments and applications to ocean and atmospheric sciences. The overall viewpoint taken is a theoretical, unified approach to the study of both the atmosphere and the oceans. One of the key features in this book is the combination of approximate forms of the basic mathematical equations of mathematical modeling with careful and precise analysis. The approximations are required to make any progress possible, while precision is needed to make the progress meaningful. This combination is often the most elusive for student to appreciate. This book aims to highlight this issue by means of accurate derivation of mathematical models with precise analysis and MATLAB applications. This book is meant for undergraduate and graduate students interested in applied mathematics, differential equations and mathematical modeling of real world problems. This book might also be interested in experts working in the field of physics concerning the ocean and atmosphere.
Numerical Solutions Of Realistic Nonlinear Phenomena
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Author : J. A. Tenreiro Machado
language : en
Publisher: Springer Nature
Release Date : 2020-02-19
Numerical Solutions Of Realistic Nonlinear Phenomena written by J. A. Tenreiro Machado and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-19 with Mathematics categories.
This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling.
Modelling Nature
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Author : Edward Gillman
language : en
Publisher: CABI
Release Date : 2019-05-30
Modelling Nature written by Edward Gillman and has been published by CABI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-30 with Science categories.
This short textbook introduces students to the concept of describing natural systems using mathematical models. We highlight the variety of ways in which natural systems lend themselves to mathematical description and the importance of models in revealing fundamental processes. The process of science via the building, testing and use of models (theories) is described and forms the structure of the book. The book covers a broad range from the molecular to ecosystems and whole-Earth phenomena. Themes running through the chapters include scale (temporal and spatial), change (linear and nonlinear), emergent phenomena and uncertainty. Mathematical descriptions are kept to a minimum and we illustrate mechanisms and results in graphical form wherever possible. Essential mathematical details are described fully, with the use of boxes. The mathematics supports but does not lead the text.
Numerical Modeling Of Coupled Phenomena In Science And Engineering
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Author : Mario César Suárez Arriaga
language : en
Publisher: CRC Press
Release Date : 2008-12-01
Numerical Modeling Of Coupled Phenomena In Science And Engineering written by Mario César Suárez Arriaga and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-01 with Technology & Engineering categories.
Mathematics is a universal language. Differential equations, mathematical modeling, numerical methods and computation form the underlying infrastructure of engineering and the sciences. In this context mathematical modeling is a very powerful tool for studying engineering problems, natural systems and human society. This interdisciplinary book cont