Topics in Mathematical Modeling

Topics in Mathematical Modeling is an engaging and accessible introductory textbook that demonstrates how simple mathematics can be applied to formulate and solve real-world problems across a diverse array of fields. Covering areas such as biology, ecology, computer science, geophysics, engineering, and the social sciences, this book emphasizes the practical relevance of mathematical modeling. The prerequisites are minimal, requiring only calculus and elementary differential equations, making it suitable for a broad range of students.

The book explores a wide variety of topics, including HIV, plant phyllotaxis, global warming, the World Wide Web, plant and animal vascular networks, social networks, chaos and fractals, marriage and divorce, and El Niño. It also features traditional modeling themes such as predator-prey interactions, harvesting, and wars of attrition. Each chapter typically begins with the history of the problem, demonstrating how it can be modeled using various mathematical tools, and concludes with a discussion of unresolved questions, encouraging critical thinking and further exploration.

Designed for a one-semester course, Topics in Mathematical Modeling gradually advances from problems solvable with simple mathematics to those requiring more sophisticated techniques. The mathematical methods are introduced as needed to address specific problems, allowing for a flexible and focused learning experience. Each chapter is largely independent, providing instructors with the flexibility to tailor their teaching approach.

This textbook serves as a comprehensive overview and introduction to applied mathematics, making it particularly suitable for sophomore, junior, and senior students in mathematics, science, and engineering disciplines. Its clear structure and real-world focus make it an invaluable resource for students seeking to understand how mathematical modeling can be used to analyze and solve current research problems.

• Brand: Princeton University Press
• Author: Tung, Ka-Kit
• Genre: Mathematics
• Format: Illustrated
• Binding: Hardcover
• Language: English
• Publication Date: 2007
• Pages: 336