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Mathematical modeling : models, analysis, and applications / Sandip Banerjee.

By: Material type: TextTextPublication details: Boca Raton : CRC Press, c2014.Description: xvii, 254 p. : illustrations ; 25 cmISBN:
  • 9781439854518 (hardcover : alk. paper)
Subject(s): DDC classification:
  • 511.8 23 B215
Contents:
1. About mathematical modeling-- 2. Mathematically modeling discrete processes-- 3. Continuous models using ordinary differential equations-- 4. Spatial models using partial differential equations-- 5. Modeling with delay differential equations-- 6. Modeling with stochastic differential equations-- 7. Hints and solutions-- Bibliography-- Index.
Summary: The book offers a wide-ranging overview of mathematical ideas and techniques that provide a number of effective approaches to problem solving. Topics covered include spatial, delayed, and stochastic modeling. The text provides real-life examples of discrete and continuous mathematical modeling scenarios. MATLAB and Mathematica are incorporated throughout the text. The examples and exercises in each chapter can be used as problems in a project.Since mathematical modeling involves a diverse range of skills and tools, the author focuses on techniques that will be of particular interest to engineers, scientists, and others who use models of discrete and continuous systems. He gives students a foundation for understanding and using the mathematics that is the basis of computers, and therefore a foundation for success in engineering and science streams.
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Includes bibliographical references (pages 243-252) and index.

1. About mathematical modeling--
2. Mathematically modeling discrete processes--
3. Continuous models using ordinary differential equations--
4. Spatial models using partial differential equations--
5. Modeling with delay differential equations--
6. Modeling with stochastic differential equations--
7. Hints and solutions--

Bibliography--
Index.

The book offers a wide-ranging overview of mathematical ideas and techniques that provide a number of effective approaches to problem solving. Topics covered include spatial, delayed, and stochastic modeling. The text provides real-life examples of discrete and continuous mathematical modeling scenarios. MATLAB and Mathematica are incorporated throughout the text. The examples and exercises in each chapter can be used as problems in a project.Since mathematical modeling involves a diverse range of skills and tools, the author focuses on techniques that will be of particular interest to engineers, scientists, and others who use models of discrete and continuous systems. He gives students a foundation for understanding and using the mathematics that is the basis of computers, and therefore a foundation for success in engineering and science streams.

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