Introduction to the Foundations of Applied Mathematics

• Main Author: Holmes, Mark H. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Texts in Applied Mathematics, 56
• Subjects: Mathematics.; Mathematical models.; Physics.; Mechanics.; Mathematical Modeling and Industrial Mathematics.; Mathematical Methods in Physics.; Mathematics, general.

The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in...

Table of Contents:

• Dimensional Analysis
• Perturbation Methods
• Kinetics
• Diffusion
• Traffic Flow
• Continuum Mechanics: One Spatial Dimension
• Elastic and Viscoelastic Materials
• Continuum Mechanics: Three Spatial Dimensions
• Fluids.