rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Advanced mathematical modeling with technology
  name:
    name part: Fox, William P.
    name part: 1949-
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Burks, Robert
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2021
    edition: 1st
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource : illustrations (black and white)
  abstract: "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. 1.1. Overview of Some Real Big Problems and The Process of Mathematical Modeling. 1.2. The Modeling Process. 1.3. Illustrative Examples. 1.4. Technology. 1.5. Exercises. 1.6 Projects. 1.7. References and Suggested Future Readings. 2. Review of Modeling with Discrete Dynamical Systems and Modeling Systems of DDS. 2.1. Introduction and Review of Modeling with Discrete Dynamical Systems. 2.2. Equilibrium and Stability Values and Long-Term Behavior. 2.3. Introduction to Systems of Discrete Dynamical Systems. 2.4. Iteration and Graphical Solution. 2.5. Modeling of Predator -- Prey Model, Sir Model, and Military Models. 2.6. Technology Examples for Discrete Dynamical Systems. 2.7. Exercises. 2.8. Projects. 2.9. References and Suggested Future Readings. 3. Modeling with Differential Equations. 3.1. Applied First Order Models. 3.2. Slope Fields and Qualitative Assessments of Autonomous First Order ODE. 3.3 Analytical Solution to 1st Order ODEs. 3.4 Numerical Methods for Solutions to 1st Order Odes with Technology. 3.5. Technology Examples for Ordinary Differential Equations. 3.6. Exercises. 3.7. Projects. 3.8. References and Suggested Future Readings. 4. Modeling System of Ordinary Differential Equations. 4.1. Introduction. 4.2. Applied Systems of Differential Equations. 4.3. Qualitative Assessment of Autonomous Systems of First Order Differential Equations. 4.4. Solving Homogeneous and Non-Homogeneous Systems. 4.5. Technology Examples for Systems of Ordinary Differential Equations. 4.6. Exercises. 4.7. Projects. 4.8. References and Suggested Future Readings. 5. Regression and Advanced Regression Methods and Models. 5.1. Introduction. 5.2. Nonlinear Regression. 5.3. Technology Examples for Regression. 5.4. Logistics Regression Models. 5.5. Technology Examples for Poisson Regression. 5.6. Exercises. 5.7. Projects. 5.8. References and Suggested Future Readings. 6. Linear Integer and Mixed Integer Programming. 6.1. Int…
  note: William P. Fox, Robert E. Burks.
  note: Includes bibliographical references and index.
  note: 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 from 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.
  subject:
    topic: Mathematical models
  subject:
    topic: Decision making
    topic: Mathematical models
  subject:
    topic: Mathematics
    topic: Data processing
  subject:
    topic: Models, Theoretical
  subject:
    topic: Decision Support Techniques
  subject:
    topic: Modèles mathématiques
  subject:
    topic: Prise de décision
    topic: Modèles mathématiques
  subject:
    topic: Mathématiques
    topic: Informatique
  subject:
    topic: mathematical models
  subject:
    topic: MATHEMATICS
    topic: Applied
  subject:
    topic: Decision making
    topic: Mathematical models
  subject:
    topic: Mathematical models
  subject:
    topic: Mathematics
    topic: Data processing
  classification: QA401
  classification: 511.8
  related item:
    title info:
      title: Advances in applied mathematics
  identifier: 9781000388886
  identifier: 1000388883
  identifier: 9781000388862
  identifier: 1000388867
  identifier: 9781003046196
  identifier: 1003046193
  identifier: 9780367494421
  identifier: 0367494426
  identifier: 9781000388886 Ingram Content Group
  identifier: 9781003046196 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 210303
    record change date: 20241111204702.5
    record identifier: in00005527502
    language of cataloging:
      language term: eng