Mathematics And Models In Engineering Science

Author : Gregory Baker
Publisher : World Scientific Publishing Company
Page : 392 pages
File Size : 53,7 Mb
Release : 2016-07-25
Category : Mathematics
ISBN : 9789814656993

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Differential Equations as Models in Science and Engineering by Gregory Baker Pdf

This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and engineering that arise as mathematical models. All steps of the modeling process are covered: formulation of a mathematical model; the development and use of mathematical concepts that lead to constructive solutions; validation of the solutions; and consideration of the consequences. The volume engages students in thinking mathematically, while emphasizing the power and relevance of mathematics in science and engineering. There are just a few guidelines that bring coherence to the construction of solutions as the book progresses through ordinary to partial differential equations using examples from mixing, electric circuits, chemical reactions and transport processes, among others. The development of differential equations as mathematical models and the construction of their solution is placed center stage in this volume.

Author : Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri
Publisher : Springer
Page : 806 pages
File Size : 47,8 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.

Author : A. McNabb,R. A. Wooding,Mervyn Rosser
Publisher : Unknown
Page : 200 pages
File Size : 55,8 Mb
Release : 1982
Category : Mathematics
ISBN : STANFORD:36105020017120

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Mathematics and Models in Engineering Science by A. McNabb,R. A. Wooding,Mervyn Rosser Pdf

Author : Mario Lucertini,Ana Millàn Gasca,Fernando Nicolò
Publisher : Birkhäuser
Page : 261 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034879514

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Technological Concepts and Mathematical Models in the Evolution of Modern Engineering Systems by Mario Lucertini,Ana Millàn Gasca,Fernando Nicolò Pdf

This collection of historical research studies covers the evolution of technology as knowledge, the emergence of an autonomous engineering science in the Industrial Age, the idea of scientific managment of production and operation systems, and the interaction between mathematical models and technological concepts. The book is published with the support of the UNESCO Venice Office - Regional Office for Science & Technology in Europe as an activity of the Project: The evolution of events, concepts and models in engineering systems.

Author : Wenfang Chen,D. de Kee Fong,P. N. Kaloni
Publisher : World Scientific
Page : 902 pages
File Size : 41,9 Mb
Release : 2003
Category : Mathematics
ISBN : 9812382925

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Advanced Mathematics for Engineering and Science by Wenfang Chen,D. de Kee Fong,P. N. Kaloni Pdf

The book comprises ten chapters, Each chapter contains serveral soved problems clarifying the introduced concepts. Some of the examples are taken from the recent literature and serve to illustrate the applications in various fields of engineering and science. At the end of each chapter, there are assignment problems with two levels of difficulty. A list of references is provided at the end of the book. This book is the product of a close collaboration between two mathematicians and an engineer. The engineer has been helpful in pinpointing the problems which engineering students encounter in books written by mathematicians. Contents: Review of Calculus and Ordinary Differential Equations; Series Solutions and Special Functions; Complex Variables; Vector and Tensor Analysis; Partial Differential Equations I; Partial Differential Equations II; Numerical Methods; Numerical Solution of Partial Differential Equations; Calculus of Variations; Special Topics. Readership: Upper level undergraduates, graduate students and researchers in mathematical modeling, mathematical physics and numerical &computational mathematics.

Author : Kai Velten
Publisher : John Wiley & Sons
Page : 362 pages
File Size : 42,5 Mb
Release : 2009-06-01
Category : Science
ISBN : 9783527627615

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Mathematical Modeling and Simulation by Kai Velten Pdf

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).

Author : Chakraverty, S.
Publisher : IGI Global
Page : 442 pages
File Size : 44,6 Mb
Release : 2014-01-31
Category : Mathematics
ISBN : 9781466649927

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Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems by Chakraverty, S. Pdf

"This book provides the reader with basic concepts for soft computing and other methods for various means of uncertainty in handling solutions, analysis, and applications"--Provided by publisher.

Author : Juri I. Neimark
Publisher : Springer Science & Business Media
Page : 561 pages
File Size : 45,7 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.

Author : Surajit Chattopadhyay,Tamal Roy,Samarjit Sengupta,Christian Berger-Vachon
Publisher : Springer
Page : 693 pages
File Size : 45,7 Mb
Release : 2018-10-24
Category : Computers
ISBN : 9783319748085

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Modelling and Simulation in Science, Technology and Engineering Mathematics by Surajit Chattopadhyay,Tamal Roy,Samarjit Sengupta,Christian Berger-Vachon Pdf

This volume contains the peer-reviewed proceedings of the International Conference on Modelling and Simulation (MS-17), held in Kolkata, India, 4th-5th November 2017, organized by the Association for the Advancement of Modelling and Simulation Techniques in Enterprises (AMSE, France) in association with the Institution of Engineering Technology (IET, UK), Kolkata Network. The contributions contained here showcase some recent advances in modelling and simulation across various aspects of science and technology. This book brings together articles describing applications of modelling and simulation techniques in fields as diverse as physics, mathematics, electrical engineering, industrial electronics, control, automation, power systems, energy and robotics. It includes a special section on mechanical, fuzzy, optical and opto-electronic control of oscillations. It provides a snapshot of the state of the art in modelling and simulation methods and their applications, and will be of interest to researchers and engineering professionals from industry, academia and research organizations.

Author : A. McNabb,R. A. Wooding,Mervyn Rosser
Publisher : Unknown
Page : 183 pages
File Size : 40,8 Mb
Release : 1982
Category : Electronic
ISBN : OCLC:80751275

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Mathematics and Models in Engineering Science by A. McNabb,R. A. Wooding,Mervyn Rosser Pdf

Author : Diran Basmadjian,Ramin Farnood
Publisher : CRC Press
Page : 509 pages
File Size : 44,6 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.

Author : Ismael Herrera,George F. Pinder
Publisher : John Wiley & Sons
Page : 259 pages
File Size : 47,5 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.

Author : Edward K. Blum,Sergey V. Lototsky
Publisher : World Scientific
Page : 500 pages
File Size : 54,9 Mb
Release : 2006
Category : Mathematics
ISBN : 9789812566218

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Mathematics of Physics and Engineering by Edward K. Blum,Sergey V. Lototsky Pdf

Aimed at scientists and engineers, this book is an exciting intellectual journey through the mathematical worlds of Euclid, Newton, Maxwell, Einstein, and Schrodinger-Dirac.While similar books present the required mathematics in a piecemeal manner with tangential references to the relevant physics and engineering, this textbook serves the interdisciplinary needs of engineers, scientists and applied mathematicians by unifying the mathematics and physics into a single systematic body of knowledge but preserving the rigorous logical development of the mathematics.The authors take an unconventional approach by integrating the mathematics with its motivating physical phenomena and, conversely, by showing how the mathematical models predict new physical phenomena.

Author : T. Agami Reddy
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 48,7 Mb
Release : 2011-08-09
Category : Technology & Engineering
ISBN : 9781441996138

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Applied Data Analysis and Modeling for Energy Engineers and Scientists by T. Agami Reddy Pdf

Applied Data Analysis and Modeling for Energy Engineers and Scientists fills an identified gap in engineering and science education and practice for both students and practitioners. It demonstrates how to apply concepts and methods learned in disparate courses such as mathematical modeling, probability,statistics, experimental design, regression, model building, optimization, risk analysis and decision-making to actual engineering processes and systems. The text provides a formal structure that offers a basic, broad and unified perspective,while imparting the knowledge, skills and confidence to work in data analysis and modeling. This volume uses numerous solved examples, published case studies from the author’s own research, and well-conceived problems in order to enhance comprehension levels among readers and their understanding of the “processes”along with the tools.

Author : Ismael Herrera,George F. Pinder
Publisher : Wiley
Page : 264 pages
File Size : 50,6 Mb
Release : 2012-02-28
Category : Technology & Engineering
ISBN : 111820722X

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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.