Articoli correlati a Mathematical Modelling with Case Studies: A Differential...
Mathematical Modelling with Case Studies: A Differential Equations Approach using Maple and MATLAB, Second Edition - Rilegato
Sinossi
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.
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Contenuti
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.
Product Description
Book by Barnes Belinda Fulford Glenn Robert
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