Mathematical Models In Natural Science And Engineering

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Mathematical Models in Natural Science and Engineering

Juri I. Neimark
Mathematical Models in Natural Science and Engineering Book PDF

Author : Juri I. Neimark
Publisher : Springer Science & Business Media
Page : 561 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783540478782

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Mathematical Models in Natural Science and Engineering by Juri I. Neimark Pdf

This book has come into being as a result ofthe author's lectures on mathematical modelling rendered to the students, BS and MS degree holders specializing in applied mathematics and computer science and to post-graduate students in exact sciences of the Nizhny Novgorod State University after N.!. Lobatchevsky. These lectures are adapted and presented as a single whole ab out mathematical models and modelling. This new course of lectures appeared because the contemporary Russian educational system in applied mathematics rested upon a combination of fundamental and applied mathematics training; this way of training oriented students upon solving only the exactly stated mathematical problems, and thus there was created a certain estrangement to the most essential stages and sides of real solutions for applied problems, such as thinking over and deeply piercing the essence of a specific problem and its mathematical statement. This statement embraces simplifications, adopted idealizations and creating a mathematical model, its correction and matching the results obtained against a real system. There also existed another main objective, namely to orient university graduates in their future research not only upon purely mathematical issues but also upon comprehending and widely applying mathematics as a universal language of contemporary exact science, and mathematical modelling as a powerful me ans for studying nature, engineering and human society.

Mathematical Modeling in Science and Engineering

Ismael Herrera,George F. Pinder
Mathematical Modeling in Science and Engineering Book PDF

Author : Ismael Herrera,George F. Pinder
Publisher : John Wiley & Sons
Page : 259 pages
File Size : 54,5 Mb
Release : 2012-03-19
Category : Technology & Engineering
ISBN : 9781118207208

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Mathematical Modeling in Science and Engineering by Ismael Herrera,George F. Pinder Pdf

A powerful, unified approach to mathematical and computational modeling in science and engineering Mathematical and computational modeling makes it possible to predict the behavior of a broad range of systems across a broad range of disciplines. This text guides students and professionals through the axiomatic approach, a powerful method that will enable them to easily master the principle types of mathematical and computational models used in engineering and science. Readers will discover that this axiomatic approach not only enables them to systematically construct effective models, it also enables them to apply these models to any macroscopic physical system. Mathematical Modeling in Science and Engineering focuses on models in which the processes to be modeled are expressed as systems of partial differential equations. It begins with an introductory discussion of the axiomatic formulation of basic models, setting the foundation for further topics such as: Mechanics of classical and non-classical continuous systems Solute transport by a free fluid Flow of a fluid in a porous medium Multiphase systems Enhanced oil recovery Fluid mechanics Throughout the text, diagrams are provided to help readers visualize and better understand complex mathematical concepts. A set of exercises at the end of each chapter enables readers to put their new modeling skills into practice. There is also a bibliography in each chapter to facilitate further investigation of individual topics. Mathematical Modeling in Science and Engineering is ideal for both students and professionals across the many disciplines of science and engineering that depend on mathematical and computational modeling to predict and understand complex systems.

Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri
Mathematical and Computational Approaches in Advancing Modern Science and Engineering Book PDF

Author : Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri
Publisher : Springer
Page : 806 pages
File Size : 45,5 Mb
Release : 2016-08-10
Category : Computers
ISBN : 9783319303796

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Mathematical and Computational Approaches in Advancing Modern Science and Engineering by Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri Pdf

Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications. The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology.

The Application of Mathematics to the Sciences of Nature

Claudio Pellegrini,Paola Cerrai,Paolo Freguglia
The Application of Mathematics to the Sciences of Nature Book PDF

Author : Claudio Pellegrini,Paola Cerrai,Paolo Freguglia
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461505914

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The Application of Mathematics to the Sciences of Nature by Claudio Pellegrini,Paola Cerrai,Paolo Freguglia Pdf

The historical and epistemological reflection on the applications of mathematical techniques to the Sciences of Nature - physics, biology, chemistry, and geology - today generates attention and interest because of the increasing use of mathematical models in all sciences and their high level of sophistication. The goal of the meeting and the papers collected in this proceedings volume is to give physicists, biologists, mathematicians, and historians of science the opportunity to share information on their work and reflect on the and mathematical models are used in the natural sciences today and in way mathematics the past. The program of the workshop combines the experience of those working on current scientific research in many different fields with the historical analysis of previous results. We hope that some novel interdisciplinary, philosophical, and epistemological considerations will follow from the two aspects of the workshop, the historical and the scientific· This proceedings includes papers presented at the meeting and some of the results of the discussions that took place during the workshop. We wish to express our gratitude to Sergio Monteiro for all his work, which has been essential for the successful publication of these proceedings. We also want to thank the editors of Kluwer AcademidPlenum Publishers for their patience and constant help, and in particular Beth Kuhne and Roberta Klarreich. Our thanks to the fallowing institutions: -Amministrazione Comunale di Arcidosso -Comunita Montana del Monte Amiata ·Center for the History of Physics, UCLA -Centre F.

Mathematical Modelling

Christopher R. Brennan
Mathematical Modelling Book PDF

Author : Christopher R. Brennan
Publisher : Unknown
Page : 0 pages
File Size : 50,5 Mb
Release : 2011
Category : Mathematical models
ISBN : 1612096514

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Mathematical Modelling by Christopher R. Brennan Pdf

Mathematical models are used not only in the natural sciences and engineering disciplines, but also in the social sciences. This book presents topical research in the study of mathematical modelling, including modelling of complex non-linear processes; nanopowder production by vapor-phase processes; laser induced thrombus formation in microvasculature; toggle mechanisms driven by a permanent magnet synchronous motor and modelling of hydrodynamic turbulence.

Mathematics and the Natural Sciences

Francis Bailly,Giuseppe Longo
Mathematics and the Natural Sciences Book PDF

Author : Francis Bailly,Giuseppe Longo
Publisher : World Scientific
Page : 336 pages
File Size : 43,7 Mb
Release : 2011-03-04
Category : Science
ISBN : 9781908977793

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Mathematics and the Natural Sciences by Francis Bailly,Giuseppe Longo Pdf

This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena. The role of “order” and symmetries in the foundations of mathematics is linked to the main invariants and principles, among them the geodesic principle (a consequence of symmetries), which govern and confer unity to various physical theories. Moreover, an attempt is made to understand causal structures, a central element of physical intelligibility, in terms of both symmetries and symmetry breakings. A distinction between the principles of (conceptual) construction and of proofs, both in physics and in mathematics, guides most of the work. The importance of mathematical tools is also highlighted to clarify differences in the models for physics and biology that are proposed by continuous and discrete mathematics, such as computational simulations. Since biology is particularly complex and not as well understood at a theoretical level, we propose a “unification by concepts” which in any case should precede mathematization. This constitutes an outline for unification also based on highlighting conceptual differences, complex points of passage and technical irreducibilities of one field to another. Indeed, we suppose here a very common monist point of view, namely the view that living objects are “big bags of molecules”. The main question though is to understand which “theory” can help better understand these bags of molecules. They are, indeed, rather “singular”, from the physical point of view. Technically, we express this singularity through the concept of “extended criticality”, which provides a logical extension of the critical transitions that are known in physics. The presentation is mostly kept at an informal and conceptual level. Contents:Mathematical Concepts and Physical ObjectsIncompleteness and Indetermination in Mathematics and PhysicsSpace and Time from Physics to BiologyInvariances, Symmetries, and Symmetry BreakingsCauses and Symmetries: The Continuum and the Discrete in Mathematical ModelingExtended Criticality: The Physical Singularity of Life PhenomenaRandomness and Determination in the Interplay between the Continuum and the DiscreteConclusion: Unification and Separation of Theories, or the Importance of Negative Results Readership: Graduate students and professionals in the fields of natural sciences, biology, computer science, mathematics, and physics. Keywords:Foundations of Mathematics and of Physics;Epistemology;Theoretical BiologyKey Features:This book is an epistemological reflection carried out by two working scientists, a physicist and a mathematician, who focus on biology. They first address a comparative analysis of the founding principles of their own disciplines. On the grounds of a three-fold blend, they then introduce a unique proposal, which does not passively transfer the paradigms of the first two theoretically well-established disciplines, to suggest a novel theoretical framework for the third discipline

Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences

David J. Wollkind,Bonni J. Dichone
Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences Book PDF

Author : David J. Wollkind,Bonni J. Dichone
Publisher : Springer
Page : 607 pages
File Size : 41,9 Mb
Release : 2018-05-01
Category : Mathematics
ISBN : 9783319735184

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Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences by David J. Wollkind,Bonni J. Dichone Pdf

This text demonstrates the process of comprehensive applied mathematical modeling through the introduction of various case studies. The case studies are arranged in increasing order of complexity based on the mathematical methods required to analyze the models. The development of these methods is also included, providing a self-contained presentation. To reinforce and supplement the material introduced, original problem sets are offered involving case studies closely related to the ones presented. With this style, the text’s perspective, scope, and completeness of the subject matter are considered unique. Having grown out of four self-contained courses taught by the authors, this text will be of use in a two-semester sequence for advanced undergraduate and beginning graduate students, requiring rudimentary knowledge of advanced calculus and differential equations, along with a basic understanding of some simple physical and biological scientific principles.

Introduction to Systems Analysis

Dieter M. Imboden,Stefan Pfenninger
Introduction to Systems Analysis Book PDF

Author : Dieter M. Imboden,Stefan Pfenninger
Publisher : Springer Science & Business Media
Page : 256 pages
File Size : 44,5 Mb
Release : 2012-12-14
Category : Science
ISBN : 9783642306396

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Introduction to Systems Analysis by Dieter M. Imboden,Stefan Pfenninger Pdf

Systems and their mathematical description play an important role in all branches of science. This book offers an introduction to mathematical modeling techniques. It is intended for undergrad students in applied natural science, in particular earth and environmental science, environmental engineering, as well as ecology, environmental chemistry, chemical engineering, agronomy, and forestry. The focus is on developing the basic methods of modeling. Students will learn how to build mathematical models of their own, but also how to analyze the properties of existing models. The book neither derives mathematical formulae, nor does it describe modeling software, instead focusing on the fundamental concepts behind mathematical models. A formulary in the appendix summarizes the necessary mathematical knowledge. To support independent learners, numerous examples and problems from various scientific disciplines are provided throughout the book. Thanks in no small part to the cartoons by Nikolas Stürchler, this introduction to the colorful world of modeling is both entertaining and rich in content

Ways of Thinking, Ways of Seeing

Chris Bissell,Chris Dillon
Ways of Thinking Ways of Seeing Book PDF

Author : Chris Bissell,Chris Dillon
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 40,6 Mb
Release : 2012-02-03
Category : Technology & Engineering
ISBN : 9783642252099

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Ways of Thinking, Ways of Seeing by Chris Bissell,Chris Dillon Pdf

This fascinating book examines some of the characteristics of technological/engineering models that are likely to be unfamiliar to those who are interested primarily in the history and philosophy of science and mathematics, and which differentiate technological models from scientific and mathematical ones. Themes that are highlighted include: • the role of language: the models developed for engineering design have resulted in new ways of talking about technological systems • communities of practice: related to the previous point, particular engineering communities have particular ways of sharing and developing knowledge • graphical (re)presentation: engineers have developed many ways of reducing quite complex mathematical models to more simple representations • reification: highly abstract mathematical models are turned into ‘objects’ that can be manipulated almost like components of a physical system • machines: not only the currently ubiquitous digital computer, but also older analogue devices – slide rules, physical models, wind tunnels and other small-scale simulators, as well as mechanical, electrical and electronic analogue computers • mathematics and modelling as a bridging tool between disciplines This book studies primarily modelling in technological practice. It is worth noting that models of the type considered in the book are not always highly valued in formal engineering education at university level, which often takes an “applied science” approach close to that of the natural sciences (something that can result in disaffection on the part of students). Yet in an informal context, such as laboratories, industrial placements, and so on, a very different situation obtains. A number of chapters considers such epistemological aspects, as well as the status of different types of models within the engineering education community. The book will be of interest to practising engineers and technologists; sociologists of science and technology; and historians and philosophers of science and mathematics. It will also be written in a way that will be accessible to non-specialists.

Mathematical Modelling

D. N. P. Murthy,N. W. Page,Ervin Y. Rodin
Mathematical Modelling Book PDF

Author : D. N. P. Murthy,N. W. Page,Ervin Y. Rodin
Publisher : Pergamon
Page : 364 pages
File Size : 54,8 Mb
Release : 1990
Category : Mathematics
ISBN : STANFORD:36105032518024

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Mathematical Modelling by D. N. P. Murthy,N. W. Page,Ervin Y. Rodin Pdf

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.

The Art of Modeling in Science and Engineering with Mathematica

Diran Basmadjian,Ramin Farnood
The Art of Modeling in Science and Engineering with Mathematica Book PDF

Author : Diran Basmadjian,Ramin Farnood
Publisher : CRC Press
Page : 509 pages
File Size : 52,5 Mb
Release : 2006-08-18
Category : Mathematics
ISBN : 9781482286038

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The Art of Modeling in Science and Engineering with Mathematica by Diran Basmadjian,Ramin Farnood Pdf

Thoroughly revised and updated, The Art of Modeling in Science and Engineering with Mathematica®, Second Edition explores the mathematical tools and procedures used in modeling based on the laws of conservation of mass, energy, momentum, and electrical charge. The authors have culled and consolidated the best from the first edition and expanded the range of applied examples to reach a wider audience. The text proceeds, in measured steps, from simple models of real-world problems at the algebraic and ordinary differential equations (ODE) levels to more sophisticated models requiring partial differential equations. The traditional solution methods are supplemented with Mathematica , which is used throughout the text to arrive at solutions for many of the problems presented. The text is enlivened with a host of illustrations and practice problems drawn from classical and contemporary sources. They range from Thomson’s famous experiment to determine e/m and Euler’s model for the buckling of a strut to an analysis of the propagation of emissions and the performance of wind turbines. The mathematical tools required are first explained in separate chapters and then carried along throughout the text to solve and analyze the models. Commentaries at the end of each illustration draw attention to the pitfalls to be avoided and, perhaps most important, alert the reader to unexpected results that defy conventional wisdom. These features and more make the book the perfect tool for resolving three common difficulties: the proper choice of model, the absence of precise solutions, and the need to make suitable simplifying assumptions and approximations. The book covers a wide range of physical processes and phenomena drawn from various disciplines and clearly illuminates the link between the physical system being modeled and the mathematical expression that results.

Introduction to Mathematical Modeling and Chaotic Dynamics

Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Introduction to Mathematical Modeling and Chaotic Dynamics Book PDF

Author : Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Publisher : CRC Press
Page : 363 pages
File Size : 51,5 Mb
Release : 2013-07-23
Category : Mathematics
ISBN : 9781439898871

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Introduction to Mathematical Modeling and Chaotic Dynamics by Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar Pdf

Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical models in natural systems, particularly ecological systems. Most of the models presented are solved using MATLAB®. The book first covers the necessary mathematical preliminaries, including testing of stability. It then describes the modeling of systems from natural science, focusing on one- and two-dimensional continuous and discrete time models. Moving on to chaotic dynamics, the authors discuss ways to study chaos, types of chaos, and methods for detecting chaos. They also explore chaotic dynamics in single and multiple species systems. The text concludes with a brief discussion on models of mechanical systems and electronic circuits. Suitable for advanced undergraduate and graduate students, this book provides a practical understanding of how the models are used in current natural science and engineering applications. Along with a variety of exercises and solved examples, the text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.

Mathematical Modeling of Natural Phenomena

Ranis Ibragimov
Mathematical Modeling of Natural Phenomena Book PDF

Author : Ranis Ibragimov
Publisher : Unknown
Page : 0 pages
File Size : 55,5 Mb
Release : 2017-12
Category : Differential equations
ISBN : 1536129771

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Mathematical Modeling of Natural Phenomena by Ranis Ibragimov Pdf

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.

Proceedings of the 2nd International Conference on BioGeoSciences

Rolando Cárdenas,Vladimir Mochalov,Oscar Parra,Osmel Martin
Proceedings of the 2nd International Conference on BioGeoSciences Book PDF

Author : Rolando Cárdenas,Vladimir Mochalov,Oscar Parra,Osmel Martin
Publisher : Springer
Page : 228 pages
File Size : 54,8 Mb
Release : 2018-12-18
Category : Science
ISBN : 9783030042332

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Proceedings of the 2nd International Conference on BioGeoSciences by Rolando Cárdenas,Vladimir Mochalov,Oscar Parra,Osmel Martin Pdf

This book features a selection of works presented in the 2nd International Conference on BioGeoSciences in a unified framework. First, it describes several theoretical tools for the mathematical modelling of natural processes and environments, such as Quantitative Habitability Theory, dynamical systems and artificial intelligence. It then outlines applications to the broad and multifaceted area of the natural sciences and environmental engineering. This highly interdisciplinary book includes case studies with a wide range of spatio-temporal scales: from ecosystem- to astrobiological-cosmological scales.

Aspects of Mathematical Modelling

Roger J. Hosking,Ezio Venturino
Aspects of Mathematical Modelling Book PDF

Author : Roger J. Hosking,Ezio Venturino
Publisher : Springer Science & Business Media
Page : 375 pages
File Size : 53,5 Mb
Release : 2008-03-02
Category : Mathematics
ISBN : 9783764385910

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Aspects of Mathematical Modelling by Roger J. Hosking,Ezio Venturino Pdf

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.