Features

• Provides an ideal resource for a general scientific and engineering audience requiring in-depth exposure to current ideas, models, methods, and applications
• Discusses topics that can serve as a one or two-semester course for senior undergraduate and graduate students
• Offers a useful reference for researchers and professionals in applied mathematics, science, and engineering
• Includes a number of case studies, applications, solved problems and examples
• Gives MATLAB^® codes in the text and on the website so that results can be verified

Summary

Focusing on applications rather than theory, this book elucidates the real-life utilization of mathematical modeling and modern mathematical methods, such as bifurcation analysis, dynamical system theory, nonlinear dynamics, and chaotic dynamics. It provides a practical understanding of how the models are used in current research in the areas of population dynamics, physical science, and engineering, and contains a large number of solved examples, applications, and hints to unsolved problems. The text covers all fundamental concepts and mathematical skills needed to build models and do analyses and also provides an informative overview of known literature.