Applied Mathematical Modeling

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Applied Mathematical Modeling

Author : Douglas R. Shier,K.T. Wallenius
Publisher : CRC Press
Page : 472 pages
File Size : 54,5 Mb
Release : 1999-11-11
Category : Mathematics
ISBN : 1420050044

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Applied Mathematical Modeling by Douglas R. Shier,K.T. Wallenius Pdf

The practice of modeling is best learned by those armed with fundamental methodologies and exposed to a wide variety of modeling experience. Ideally, this experience could be obtained by working on actual modeling problems. But time constraints often make this difficult. Applied Mathematical Modeling provides a collection of models illustrating the power and richness of the mathematical sciences in supplying insight into the operation of important real-world systems. It fills a gap within modeling texts, focusing on applications across a broad range of disciplines. The first part of the book discusses the general components of the modeling process and highlights the potential of modeling in practice. These chapters discuss the general components of the modeling process, and the evolutionary nature of successful model building. The second part provides a rich compendium of case studies, each one complete with examples, exercises, and projects. In keeping with the multidimensional nature of the models presented, the chapters in the second part are listed in alphabetical order by the contributor's last name. Unlike most mathematical books, in which you must master the concepts of early chapters to prepare for subsequent material, you may start with any chapter. Begin with cryptology, if that catches your fancy, or go directly to bursty traffic if that is your cup of tea. Applied Mathematical Modeling serves as a handbook of in-depth case studies that span the mathematical sciences, building upon a modest mathematical background. Readers in other applied disciplines will benefit from seeing how selected mathematical modeling philosophies and techniques can be brought to bear on problems in their disciplines. The models address actual situations studied in chemistry, physics, demography, economics, civil engineering, environmental engineering, industrial engineering, telecommunications, and other areas.

Applied Mathematical Modelling of Engineering Problems

Author : N.V. Hritonenko,Yuri P. Yatsenko
Publisher : Springer Science & Business Media
Page : 307 pages
File Size : 55,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781441991607

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Applied Mathematical Modelling of Engineering Problems by N.V. Hritonenko,Yuri P. Yatsenko Pdf

The subject of the book is the "know-how" of applied mathematical modelling: how to construct specific models and adjust them to a new engineering environment or more precise realistic assumptions; how to analyze models for the purpose of investigating real life phenomena; and how the models can extend our knowledge about a specific engineering process. Two major sources of the book are the stock of classic models and the authors' wide experience in the field. The book provides a theoretical background to guide the development of practical models and their investigation. It considers general modelling techniques, explains basic underlying physical laws and shows how to transform them into a set of mathematical equations. The emphasis is placed on common features of the modelling process in various applications as well as on complications and generalizations of models. The book covers a variety of applications: mechanical, acoustical, physical and electrical, water transportation and contamination processes; bioengineering and population control; production systems and technical equipment renovation. Mathematical tools include partial and ordinary differential equations, difference and integral equations, the calculus of variations, optimal control, bifurcation methods, and related subjects.

Progress in Applied Mathematical Modeling

Author : Fengshan Yang
Publisher : Nova Publishers
Page : 386 pages
File Size : 40,6 Mb
Release : 2008
Category : Mathematics
ISBN : 1600219764

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Progress in Applied Mathematical Modeling by Fengshan Yang Pdf

This book presents new research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. It includes heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimisation; finite volume, finite element, and boundary element procedures; decision sciences in an industrial and manufacturing context; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.

Applied Mathematical Models in Human Physiology

Author : Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen
Publisher : SIAM
Page : 311 pages
File Size : 40,6 Mb
Release : 2004-01-01
Category : Medical
ISBN : 0898718287

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Applied Mathematical Models in Human Physiology by Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen Pdf

This book introduces mathematicians to real applications from physiology. Using mathematics to analyze physiological systems, the authors focus on models reflecting current research in cardiovascular and pulmonary physiology. In particular, they present models describing blood flow in the heart and the cardiovascular system, as well as the transport of oxygen and carbon dioxide through the respiratory system and a model for baroreceptor regulation.

RFID in Logistics

Author : Erick C. Jones,Christopher A. Chung
Publisher : CRC Press
Page : 520 pages
File Size : 50,8 Mb
Release : 2007-12-03
Category : Business & Economics
ISBN : 1420009362

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RFID in Logistics by Erick C. Jones,Christopher A. Chung Pdf

Radio Frequency Identification (RFID) tagging is now mandated by the department of defense and many of the world’s largest retailers including Wal-Mart. In order to stay competitive, more than 200,000 manufacturers and suppliers must develop strategies for integrating RFID technologies into their supply chains. RFID in Logistics: A Practical Introduction provides businesses and other relevant concerns with an authoritative step-by-step guide to the implementation and diverse applications of this revolutionary communications technology. Survey RFID applications in entertainment, credit devices, wireless communications, healthcare, and libraries Learn about both active and passive system components testing models Examine best practices for integrating RFID technology into the supply chain Combining techniques from computer, electrical, and industrial engineering, RFID in Logistics: A Practical Introduction supplies the basic instruction needed to develop and implement RFID technology.

Mathematical Models in the Applied Sciences

Author : A. C. Fowler
Publisher : Cambridge University Press
Page : 440 pages
File Size : 46,5 Mb
Release : 1997-11-28
Category : Mathematics
ISBN : 0521467039

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Mathematical Models in the Applied Sciences by A. C. Fowler Pdf

Presents a thorough grounding in the techniques of mathematical modelling, and proceeds to explore a range of classical and continuum models from an array of disciplines.

Mathematical Models in Biology

Author : Leah Edelstein-Keshet
Publisher : SIAM
Page : 629 pages
File Size : 43,7 Mb
Release : 1988-01-01
Category : Mathematics
ISBN : 0898719143

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Mathematical Models in Biology by Leah Edelstein-Keshet Pdf

Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

Using Applied Mathematical Models for Business Transformation

Author : Trad, Antoine,Kalpi?, Damir
Publisher : IGI Global
Page : 543 pages
File Size : 54,6 Mb
Release : 2019-12-20
Category : Business & Economics
ISBN : 9781799810117

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Using Applied Mathematical Models for Business Transformation by Trad, Antoine,Kalpi?, Damir Pdf

Traditional business practices have been left behind due to the increased use of data analytics and information technology in companies worldwide. This development has led to businesses implementing transformative projects that use these new technologies in their decision-making systems. Altering the entire architecture of a company is a daunting task; however, researchers are finding methods through applied mathematics that can make it easier on companies. Implementing analytical models into current business processes is vital for professionals across the globe. Using Applied Mathematical Models for Business Transformation is an essential reference source that discusses the advancement of decision-making systems in business environments with the use of applied mathematics, algorithms, and information technology. Featuring research on topics such as decision-making systems, critical success factors, and global enterprise architecture, this book is ideally designed for project managers, financial analysts, business strategists, software engineers, technical architects, students, researchers, and educators seeking coverage on the transformation of business practices using applied mathematics and information technology.

Applied Mathematical Modeling and Analysis in Renewable Energy

Author : Manoj Sahni,Ritu Sahni
Publisher : CRC Press
Page : 212 pages
File Size : 50,5 Mb
Release : 2021-10-04
Category : Technology & Engineering
ISBN : 9781000455113

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Applied Mathematical Modeling and Analysis in Renewable Energy by Manoj Sahni,Ritu Sahni Pdf

This reference text introduces latest mathematical modeling techniques and analysis for renewable energy systems. It comprehensively covers important topics including study of combustion characteristics of laser ignited gasoline-air mixture, hierarchical demand response controller, mathematical modeling of an EOQ for a multi-item inventory system, and integration and modeling of small-scale pumped storage with micro optimization model (HOMER). Aimed at graduate students and academic researchers in the fields of electrical engineering, environmental engineering, mechanical engineering, and civil engineering, this text: Discusses applied mathematical modeling techniques in renewable energy. Covers effective storage and generation of power through renewable energy generation sources. Provides real life applications and problems based on renewable energy. Covers new ways of applying mathematical techniques for applications in diverse areas of science and engineering.

Mathematical Modelling

Author : Murray S. Klamkin
Publisher : SIAM
Page : 346 pages
File Size : 55,9 Mb
Release : 1987-01-01
Category : Technology & Engineering
ISBN : 9780898712049

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Mathematical Modelling by Murray S. Klamkin Pdf

Mathematics of Computing -- Miscellaneous.

Advanced Mathematical Modeling with Technology

Author : William P. Fox,Robert E. Burks
Publisher : CRC Press
Page : 448 pages
File Size : 43,7 Mb
Release : 2021-05-20
Category : Mathematics
ISBN : 9781000388862

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Advanced Mathematical Modeling with Technology by William P. Fox,Robert E. Burks Pdf

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.

Applied Mathematical Modeling

Author : Eetu N. Virtanen
Publisher : Nova Publishers
Page : 366 pages
File Size : 40,8 Mb
Release : 2008
Category : Mathematics
ISBN : 1600219756

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Applied Mathematical Modeling by Eetu N. Virtanen Pdf

This new book focuses on important research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. It includes heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimisation; finite volume, finite element, and boundary element procedures; decision sciences in an industrial and manufacturing context; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.

Mathematical Modelling in Health, Social and Applied Sciences

Author : Hemen Dutta
Publisher : Springer Nature
Page : 325 pages
File Size : 54,5 Mb
Release : 2020-02-29
Category : Mathematics
ISBN : 9789811522864

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Mathematical Modelling in Health, Social and Applied Sciences by Hemen Dutta Pdf

This book discusses significant research findings in the field of mathematical modelling, with particular emphasis on important applied-sciences, health, and social issues. It includes topics such as model on viral immunology, stochastic models for the dynamics of influenza, model describing the transmission of dengue, model for human papillomavirus (HPV) infection, prostate cancer model, realization of economic growth by goal programming, modelling of grazing periodic solutions in discontinuous systems, modelling of predation system, fractional epidemiological model for computer viruses, and nonlinear ecological models. A unique addition in the proposed areas of research and education, this book is a valuable resource for graduate students, researchers and educators associated with the study of mathematical modelling of health, social and applied-sciences issues. Readers interested in applied mathematics should also find this book valuable.

Introduction to the Foundations of Applied Mathematics

Author : Mark H. Holmes
Publisher : Springer Nature
Page : 528 pages
File Size : 46,5 Mb
Release : 2019-10-02
Category : Mathematics
ISBN : 9783030242619

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Introduction to the Foundations of Applied Mathematics by Mark H. Holmes Pdf

The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change. What does not change as quickly is the approach used to derive the relevant mathematical models, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of a specific application. This does not mean applications are not considered, they are, and connections with experiment are a staple of this book. The book, as well as the individual chapters, is written in such a way that the material becomes more sophisticated as you progress. This provides some flexibility in how the book is used, allowing consideration for the breadth and depth of the material covered. Moreover, there are a wide spectrum of exercises and detailed illustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful. The material, and topics, have been updated to include recent developments in mathematical modeling. The exercises have also been expanded to include these changes, as well as enhance those from the first edition. Review of first edition: "The goal of this book is to introduce the mathematical tools needed for analyzing and deriving mathematical models. ... Holmes is able to integrate the theory with application in a very nice way providing an excellent book on applied mathematics. ... One of the best features of the book is the abundant number of exercises found at the end of each chapter. ... I think this is a great book, and I recommend it for scholarly purposes by students, teachers, and researchers." Joe Latulippe, The Mathematical Association of America, December, 2009

Handbook of Applied Multivariate Statistics and Mathematical Modeling

Author : Howard E.A. Tinsley,Steven D. Brown
Publisher : Academic Press
Page : 721 pages
File Size : 51,8 Mb
Release : 2000-05-22
Category : Mathematics
ISBN : 0080533566

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Handbook of Applied Multivariate Statistics and Mathematical Modeling by Howard E.A. Tinsley,Steven D. Brown Pdf

Multivariate statistics and mathematical models provide flexible and powerful tools essential in most disciplines. Nevertheless, many practicing researchers lack an adequate knowledge of these techniques, or did once know the techniques, but have not been able to keep abreast of new developments. The Handbook of Applied Multivariate Statistics and Mathematical Modeling explains the appropriate uses of multivariate procedures and mathematical modeling techniques, and prescribe practices that enable applied researchers to use these procedures effectively without needing to concern themselves with the mathematical basis. The Handbook emphasizes using models and statistics as tools. The objective of the book is to inform readers about which tool to use to accomplish which task. Each chapter begins with a discussion of what kinds of questions a particular technique can and cannot answer. As multivariate statistics and modeling techniques are useful across disciplines, these examples include issues of concern in biological and social sciences as well as the humanities.