Mathematical Modeling

Models, Analysis and Applications
1. Auflage 2014
ISBN: 978-1-4398-5451-8
Verlag: Taylor & Francis Ltd

Buch, Englisch, 276 Seiten, Format (B × H): 158 mm x 241 mm, Gewicht: 618 g

Almost every year, a new book on mathematical modeling is published, so, why another? The answer springs directly from the fact that it is very rare to find a book that covers modeling with all types of differential equations in one volume. Until now. Mathematical Modeling: Models, Analysis and Applications covers modeling with all kinds of differential equations, namely ordinary, partial, delay, and stochastic. The book also contains a chapter on discrete modeling, consisting of differential equations, making it a complete textbook on this important skill needed for the study of science, engineering, and social sciences.
More than just a textbook, this how-to guide presents tools for mathematical modeling and analysis. It 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.

Zielgruppe

Senior undergraduate and graduate students in mathematical modeling; scientists and engineers in mathematical modeling.

Autoren/Hrsg.

Banerjee, Sandip

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik

Inhaltsverzeichnis

About Mathematical Modeling. Mathematically Modeling Discrete Process. Continuous Models Using Ordinary Differential Equations. Spatial Models Using Partial Differential Equations. Modeling with Delay Differential Equations. Modeling with Stochastic Differential Equations.