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: Introduction to differential and difference equations through modeling
  name:
    name part: Fox, William P.
    name part: 1949-
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Burks, Robert
    role:
      role term: author
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2025
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: "This book presents an opportunity to learn difference and differential equations through a modelling-first approach. The text is meant as an introduction to those equations and not as a text only for modelling courses. No previous exposure to these equations is expected. Modeling is presented as the vehicle for learning difference and differential equations. Although the topics in difference and differential equations are consistent with those in other textbooks, this approach differs. The presentation starts with a model (or several models) and presents the solution with minor discussions. Then, methods to obtain those solutions are presented and show these same models and others again in more detail. This approach is designed to focus on the use of difference and differential equations to solve real world problems, and to learn not only these primary topics, but how to apply these through modeling. The authors begin with a review of matrix algebra, then an introduction to modelling. The text progresses to Discrete Dynamical Systems, and then to the standard organization of most DE texts, making the alignment with a current syllabus easier. Technology is a significant modeling component. EXCEL, Python, and MAPLE are presented as methods to solve the models. The material has been class tested at The US Military Academy at West Point, Marion University, and William and Mary, and The Naval Postgraduate School with great success"-- Provided by publisher.
  table of contents: 1. Matrix Algebra Review2. Mathematical Modeling and Technology for Difference and Differential Equations3. Modeling Discrete Dynamical Systems (DDS)4. Systems of First Order Difference Equations5. Introduction, Basic Concepts, and Techniques in Modeling First Order Ordinary Differential Equations6. Modeling with Numerical Solutions to Differential Equations---IVP for ODEs with Technology7. Numerical Output for Analysis: Graphical and Percent Error8. Higher Order Differential Equations9. Higher Order Numerical Methods to Solve IVP and BVP10. System of Linear and Nonlinear ODEs11. Numerical Solutions to Systems of ODES12. Modeling using Laplace Transforms13. Answers to Selected Exercises
  note: William P. Fox and Robert E. Burks.
  note: Includes bibliographical references and index.
  subject:
    topic: Differential equations
    topic: Mathematical models
  subject:
    topic: Difference equations
    topic: Mathematical models
  subject:
    topic: Mathematical models
  subject:
    topic: Équations différentielles
    topic: Modèles mathématiques
  subject:
    topic: Équations aux différences
    topic: Modèles mathématiques
  subject:
    topic: Difference equations
  subject:
    topic: Differential equations
  subject:
    topic: Mathematical models
  subject:
    topic: Difference equations;Matrix Algebra review;Projects;Python;Discrete Dynamical Systems;Numerical Methods
  classification: QA372
  classification: 515/.35
  related item:
    title info:
      title: Introduction to differential and difference equations through modeling
    name:
      name part: Fox, William P., 1949-
    origin info:
      publisher: Boca Raton, FL : CRC Press, 2025
      edition: First edition.
    identifier: (DLC) 2024052725
  related item:
    title info:
      title: Textbooks in Mathematics
  identifier: 9781003582274
  identifier: 1003582273
  identifier: 9781032949000
  identifier: 9781032947341
  identifier: 9781040338308
  identifier: 1040338305
  identifier: 9781040338247
  identifier: 1040338240
  identifier: 2024052726
  identifier: 9781003582274 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: DLC
    record creation date: 250213
    record change date: 20250812150043.5
    record identifier: in00005658892
    language of cataloging:
      language term: eng