Download or read book Advanced Mathematical Modeling with Technology written by William P. Fox and published by CRC Press. This book was released on 2021-05-20 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling is both a skill and an art and must be practiced in order to maintain and enhance the ability to use those skills. Though the topics covered in this book are the typical topics of most mathematical modeling courses, this book is best used for individuals or groups who have already taken an introductory mathematical modeling course. Advanced Mathematical Modeling with Technology will be of interest to instructors and students offering courses focused on discrete modeling or modeling for decision making. Each chapter begins with a problem to motivate the reader. The problem tells "what" the issue is or problem that needs to be solved. In each chapter, the authors apply the principles of mathematical modeling to that problem and present the steps in obtaining a model. The key focus is the mathematical model and the technology is presented as a method to solve that model or perform sensitivity analysis. We have selected , where applicable to the content because of their wide accessibility. The authors utilize technology to build, compute, or implement the model and then analyze the it. Features: MAPLE©, Excel©, and R© to support the mathematical modeling process. Excel templates, macros, and programs are available upon request from authors. Maple templates and example solution are also available. Includes coverage of mathematical programming. The power and limitations of simulations is covered. Introduces multi-attribute decision making (MADM) and game theory for solving problems. The book provides an overview to the decision maker of the wide range of applications of quantitative approaches to aid in the decision making process, and present a framework for decision making. Table of Contents 1. Perfect Partners: Mathematical Modeling and Technology 2. Review of Modeling with Discrete Dynamical Systems and Modeling Systems of DDS 3. Modeling with Differential Equations 4. Modeling System of Ordinary Differential Equation 5. Regression and Advanced Regression Methods and Models 6. Linear, Integer and Mixed Integer Programming 7. Nonlinear Optimization Methods 8. Multivariable Optimization 9. Simulation Models 10. Modeling Decision Making with Multi-Attribute Decision Modeling with Technology 11. Modeling with Game Theory 12. Appendix Using R Index Biographies Dr. William P. Fox is currently a visiting professor of Computational Operations Research at the College of William and Mary. He is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School and teaches a three-course sequence in mathematical modeling for decision making. He received his Ph.D. in Industrial Engineering from Clemson University. He has taught at the United States Military Academy for twelve years until retiring and at Francis Marion University where he was the chair of mathematics for eight years. He has many publications and scholarly activities including twenty plus books and one hundred and fifty journal articles. Colonel (R) Robert E. Burks, Jr., Ph.D. is an Associate Professor in the Defense Analysis Department of the Naval Postgraduate School (NPS) and the Director of the NPS’ Wargaming Center. He holds a Ph.D. in Operations Research form the Air Force Institute of Technology. He is a retired logistics Army Colonel with more than thirty years of military experience in leadership, advanced analytics, decision modeling, and logistics operations who served as an Army Operations Research analyst at the Naval Postgraduate School, TRADOC Analysis Center, United States Military Academy, and the United States Army Recruiting Command.
Download or read book Mathematical Modeling of Technological Processes written by Nargozy Danaev and published by Springer. This book was released on 2015-10-15 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Mathematical modeling of technological processes track of the 8th International Conference on Computational and Information Technologies in Science, Engineering and Education, CITech 2015, held in Almaty, Kazakhstan, in September 2015. The 20 papers and one short paper presented were carefully reviewed and selected from 56 submissions to the track. They provide a forum for sharing new aspects of the progresses in the areas of mathematical modeling of technological processes; process automation and control; high performance computing; simulation.
Download or read book An Introduction to Mathematical Modeling written by Edward A. Bender and published by Courier Corporation. This book was released on 2012-05-23 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Optimization Methods in Mathematical Modeling of Technological Processes written by Alena Vagaská and published by Springer Nature. This book was released on 2023-07-20 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on selected methods of applied mathematics that are aimed at mathematical optimization, with an emphasis on their application in engineering practice. It delves into the current mathematical modeling of processes and systems, with a specific focus on the optimization modeling of technological processes. The authors discuss suitable linear, convex, and nonlinear optimization methods for solving problems in engineering practice. Real-world examples and data are used to numerically illustrate the implementation of these methods, utilizing the popular MATLAB software system and its extension to convex optimization. The book covers a wide range of topics, including mathematical modeling, linear programming, convex programming, and nonlinear programming, all with an engineering optimization perspective. It serves as a comprehensive guide for engineers, researchers, and students interested in the practical application of optimization methods in engineering.
Download or read book Mathematical Modeling of Physical Systems written by Diran Basmadjian and published by Oxford University Press on Demand. This book was released on 2003 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both analytical and numerical methods are explained in enough detail to function as learning tools for the beginner or as refreshers for the more informed reader. Ideal for third-year engineering, mathematics, physics, and chemistry students."--BOOK JACKET.
Download or read book Mathematical Simulation in Glass Technology written by Dieter Krause and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on mathematical simulation on glass technology, and covers all production steps of special glass manufacturing. The enclosed CD-ROM shows 27 simulations of different aspects, such as surprising details of the pressing and casting process.
Download or read book Technological Concepts and Mathematical Models in the Evolution of Modern Engineering Systems written by Mario Lucertini and published by Birkhäuser. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematics In Science And Technology Mathematical Methods Models And Algorithms In Science And Technology Proceedings Of The Satellite Conference Of Icm 2010 written by Abul Hasan Siddiqi and published by World Scientific. This book was released on 2011-06-30 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume presents reviews of research in several important areas of applications of mathematical concepts to science and technology, for example applications of inverse problems and wavelets to real world systems. The book provides a comprehensive overview of current research of several outstanding scholars engaged in diverse fields such as complexity theory, vertex coupling in quantum graphs, mixing of substances by turbulence, network dynamics and architecture, processes with rate — independent hysteresis, numerical analysis of Hamilton Jacobi — Bellman equations, simulations of complex stochastic differential equations, optimal flow control, shape optimal flow control, shape optimization and aircraft designing, mathematics of brain, nanotechnology and DNA structure and mathematical models of environmental problems. The volume also contains contributory talks based on current researches of comparatively young researchers participating in the conference.
Download or read book Mathematical Modeling and Simulation of Systems written by Serhiy Shkarlet and published by Springer Nature. This book was released on 2022-02-23 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains works on mathematical and simulation modeling of processes in various domains: ecology and geographic information systems, IT, industry, and project management. The development of complex multicomponent systems requires an increase in accuracy, efficiency, and adequacy while reducing the cost of their creation. The studies presented in the book are useful to specialists who involved in the development of real events models-analog, management and decision-making models, production models, and software products. Scientists can get acquainted with the latest research in various decisions proposed by leading scholars and identify promising directions for solving complex scientific and practical problems. The chapters of this book contain the contributions presented on the 16th International Scientific-practical Conference, MODS, June 28–July 01, 2021, Chernihiv, Ukraine.
Download or read book Methods of Mathematical Modelling written by Thomas Witelski and published by Springer. This book was released on 2015-09-18 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.
Download or read book Models of Technologies written by Mikhail V. Belov and published by Springer Nature. This book was released on 2019-09-25 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the methodology of complex activity with a set of interconnected mathematical models that describe the processes of technology design, adoption and use. It first discusses the technology of complex activity and its general models. The second chapter then introduces models of the processes of technology design and adoption, while Chapter 3 focuses on technology management models are presented in. Lastly, Chapter 4 examines analytical complexity and errors in solving technology design/optimization problems. This book is intended for experts and researchers interested in the general principles of activity organization and control of complex organizational and technical systems.
Download or read book Structural Mathematical Modeling Applications in Technological Machines and Transportation Vehicles written by Eliseev, Andrey and published by IGI Global. This book was released on 2023-06-09 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: As technology continues to advance, the complexity of technological machines and transportation vehicles increases, presenting new challenges in assessing their dynamic properties. A thorough explanation of new forms of construction of mathematical models that take into account the potential occurrence of new standard links in the initial oscillatory structures is needed for a comprehensive solution to the challenges posed by the dynamics of machines. Structural Mathematical Modeling Applications in Technological Machines and Transportation Vehicles by Andrey Eliseev evaluates solutions on how to accurately assess the dynamic properties of modern machines. Eliseev's in-depth analysis of the interconnectedness of the processes of studying the state of the technical object, evaluating its dynamic properties, and solving specific problems of dynamic interaction of machine elements provides a unique perspective on the challenges posed by machine dynamics. This book is an essential resource for specialists in the field of research, design, and calculations of technical objects exposed to dynamic loads, as well as students and postgraduates of technical specialties related to the application of system analysis and mathematical modeling.
Download or read book Chemical Process Retrofitting and Revamping written by Gade Pandu Rangaiah and published by John Wiley & Sons. This book was released on 2016-01-29 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proposed book will be divided into three parts. The chapters in Part I provide an overview of certain aspect of process retrofitting. The focus of Part II is on computational techniques for solving process retrofit problems. Finally, Part III addresses retrofit applications from diverse process industries. Some chapters in the book are contributed by practitioners whereas others are from academia. Hence, the book includes both new developments from research and also practical considerations. Many chapters include examples with realistic data. All these feature make the book useful to industrial engineers, researchers and students.
Download or read book Research Directions in Computational Mechanics written by National Research Council and published by National Academies Press. This book was released on 1991-02-01 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational mechanics is a scientific discipline that marries physics, computers, and mathematics to emulate natural physical phenomena. It is a technology that allows scientists to study and predict the performance of various productsâ€"important for research and development in the industrialized world. This book describes current trends and future research directions in computational mechanics in areas where gaps exist in current knowledge and where major advances are crucial to continued technological developments in the United States.
Download or read book Mathematical Models for Speech Technology written by Stephen Levinson and published by John Wiley & Sons. This book was released on 2005-03-04 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models of Spoken Language presents the motivations for, intuitions behind, and basic mathematical models of natural spoken language communication. A comprehensive overview is given of all aspects of the problem from the physics of speech production through the hierarchy of linguistic structure and ending with some observations on language and mind. The author comprehensively explores the argument that these modern technologies are actually the most extensive compilations of linguistic knowledge available.Throughout the book, the emphasis is on placing all the material in a mathematically coherent and computationally tractable framework that captures linguistic structure. It presents material that appears nowhere else and gives a unification of formalisms and perspectives used by linguists and engineers. Its unique features include a coherent nomenclature that emphasizes the deep connections amongst the diverse mathematical models and explores the methods by means of which they capture linguistic structure. This contrasts with some of the superficial similarities described in the existing literature; the historical background and origins of the theories and models; the connections to related disciplines, e.g. artificial intelligence, automata theory and information theory; an elucidation of the current debates and their intellectual origins; many important little-known results and some original proofs of fundamental results, e.g. a geometric interpretation of parameter estimation techniques for stochastic models and finally the author's own unique perspectives on the future of this discipline. There is a vast literature on Speech Recognition and Synthesis however, this book is unlike any other in the field. Although it appears to be a rapidly advancing field, the fundamentals have not changed in decades. Most of the results are presented in journals from which it is difficult to integrate and evaluate all of these recent ideas. Some of the fundamentals have been collected into textbooks, which give detailed descriptions of the techniques but no motivation or perspective. The linguistic texts are mostly descriptive and pictorial, lacking the mathematical and computational aspects. This book strikes a useful balance by covering a wide range of ideas in a common framework. It provides all the basic algorithms and computational techniques and an analysis and perspective, which allows one to intelligently read the latest literature and understand state-of-the-art techniques as they evolve.
Download or read book Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications 1 written by Dmitri Koroliouk and published by John Wiley & Sons. This book was released on 2024-04-16 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical methods in engineering are characterized by a wide range of techniques for approaching various problems. Moreover, completely different analysis techniques can be applied to the same problem, which is justified by the difference in specific applications. Therefore, the study of the analyses and solutions of specific problems leads the researcher to generate their own techniques for the analysis of similar problems continuously arising in the process of technical development. Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications contains solutions to specific problems in current areas of computational engineering and cyberphysics.
Download or read book Advanced Mathematical Modeling with Technology written by William P. Fox and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Perfect partners : mathematical modeling and technology -- Review of modeling with discrete dynamical systems and modeling systems of DDS -- Modeling with differential equations -- Modeling system of ordinary differential equation -- Regression and advanced regression methods and models -- Linear, integer and mixed integer programming -- Nonlinear optimization methods -- Multivariable optimization -- Simulation models -- Modeling decision making with multi-attribute decision modeling with technology -- Modeling with game theory.