Mathematical Modeling of Physical Systems An Introduction [Hardcover]

Mathematical Modeling of Physical Systemsprovides a concise and lucid introduction to mathematical modeling for students and professionals approaching the topic for the first time. It is based on the premise that modeling is as much an art as it is a science--an art that can be mastered only by sustained practice. To provide that practice, the text contains approximately 100 worked examples and numerous practice problems drawn from civil and biomedical engineering, as well as from economics, physics, and chemistry. Problems range from classical examples, such as Euler's treatment of the buckling of the strut, to contemporary topics such as silicon chip manufacturing and the dynamics of the human immunodeficiency virus (HIV). The required mathematics are confined to simple treatments of vector algebra, matrix operations, and ordinary differential equations. Both analytical and numerical methods are explained in enough detail to function as learning tools for the beginner or as refreshers for the more informed reader. Ideal for third-year engineering, mathematics, physics, and chemistry students,Mathematical Modeling of Physical Systemswill also be a welcome addition to the libraries of practicing professionals.

Preface
Notation
1. Getting Started and Beyond
1.1. When Not to Model
Example 1.1. TheChallengerSpace Shuttle Disaster
Example 1.2. Loss of Blood Vessel Patency
1.2. Some Initial Tools and Steps
1.3. Closure
Example 1.3. Discharge of Plant Effluent into a River
Example 1.4. Electrical Field Due to a Dipole
Example 1.5. Design of a Thermocouple
Example 1.6. Newton's Law for Systems of Variable Mass: A False Start and the Remedy
Example 1.7. Release of a Substance into a Flowing Fluid: Determination of a Mass Transfer Coefficient
Practice Problems
2. Some Mathematical Tools
2.1. Vector Algebra
2.1.1. Definition of a Vector
2.1.2. Vector Equalil£‹