Mathematical modelling with case studies : a differential equation approach using Maple

著者

書誌事項

Mathematical modelling with case studies : a differential equation approach using Maple

Belinda Barnes and Glenn R. Fulford

Taylor & Francis, 2002

  • : hb
  • : pbk

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

Certain basic modeling skills can be applied to a wide variety of problems. It focuses on those mathematical techniques which are applicable to models involving differential equations. Models in three different areas are considered: growth and decay process, interacting populations and heating/cooling problems. The main mathematical technique is solving differential equations, while the range of applications and mathematical techniques presented provides a broad appreciation of this type of modeling. This book contains three general sections: Compartmental Models, Population Models and Heat Transfer Models. Within each section, the process of constructing a model is presented in full detail. Applications and case studies are integral to this text, and case studies are included throughout. This is a useful course text, and basic calculus and fundamental computing skills are required.

目次

Introduction to Mathematical Modeling. Introduction to Compartmental Models. Compartmental Models. Models of Single Populations. Numerical Solution of Differential Equations. Models of Interacting Populations. Formulating Models. Phase-plane Analysis. Linearization Analysis. Some Improved Models. Models of Heating and Cooling. Formulating Basic Models. Solving Time-Dependent Problems. Solving Heat Conduction Problems. Models with Partial Differential Equations. Introduction to Partial Differential Equations. Appendices. Differential Equations. Further Mathematics. Notes on Maple. A Brief Introduction to Maple E SI Units. Certain basic modeling skills can be applied to a wide variety of problems. This book focuses on those mathematical techniques that are applicable to models involving differential equations. Models in three different areas are considered: growth and decay processes, interacting populations, and heating/cooling problems. It contains three general sections: Compartmental Models, Population Models, and Heat Transfer Models. Each section describes in full detail the process of constructing a model. Applications and case studies are integral to this text and included throughout. This is a useful course text, that requires only basic calculus and fundamental computing skills.

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詳細情報

  • NII書誌ID(NCID)
    BA6016664X
  • ISBN
    • 0415298032
    • 0415298040
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    London
  • ページ数/冊数
    xiv, 428 p.
  • 大きさ
    26 cm
  • 分類
  • 件名
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