Topics in Mathematical Modeling

\"Topics in Mathematical Modeling\" is an engaging introductory textbook that opens the door to the fascinating world of mathematical modeling. This book demonstrates how simple mathematics can be a powerful tool in formulating and solving real-world problems across various fields such as biology, ecology, computer science, geophysics, engineering, and the social sciences. With minimal prerequisites—just calculus and elementary differential equations—this text is accessible to a wide audience.

The book covers a diverse array 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 delves into traditional modeling subjects like predator-prey interactions, harvesting, and wars of attrition. Each chapter typically begins with the historical context of a problem, proceeds with a demonstration of modeling using various mathematical tools, and concludes with a discussion on the unresolved aspects of the problem.

Designed for a one-semester course, \"Topics in Mathematical Modeling\" progresses from problems solvable with basic mathematics to those requiring more advanced methods. The mathematical techniques are introduced as needed, ensuring that students learn them in the context of solving specific problems. Each chapter stands largely independent, providing educators with the flexibility to tailor the course to their needs.

This textbook serves as both an overview and an introduction to applied mathematics, making it particularly suitable for sophomore, junior, and senior students in mathematics, science, and engineering. Whether used as a course textbook or a reference guide, it offers valuable insights into the application of mathematics in solving complex, real-world issues.

• Author: Ka-Kit Tung
• Genre: Mathematics
• Binding: Hardcover
• Format: Illustrated
• Language: English
• Publication Date: 2007
• Edition: Illustrated
• Pages: 336