Introduction to the Foundations of Applied Mathematics
by Mark H. Holmes

The Chapters
Chapter 1 Dimensional Analysis
Chapter 2 Perturbation Methods
Chapter 3 Kinetics
Chapter 4 Diffusion
Chapter 5 Traffic Flow
Chapter 6 Continuum Mechanics: One Spatial Dimension
Chapter 7 Elastic and Viscoelastic Materials
Chapter 8 Continuum Mechanics: Three Spatial Dimensions
Chapter 9 Fluids
Book Cover
Springer web page
Contact Information
Mark H. Holmes
Department of Mathematical Sciences
Rensselaer Polytechnic Institute, Troy, NY 12180 USA
holmes (@rpi.edu)

Page Last Updated: 7/19/2010

General Information About the Book

Table of Contents

Index

Solutions and a Hint

Typos

Reviews

Chapter 1: Dimensional Analysis

Table 1.1

Figures 1.2(b) and 1.3

Figure 1.9(b)

Chapter 2: Perturbation Methods

Figures from chapter

Table 2.1

Chapter 3: Kinetics

Figures from chapter

Figure 3.13 The movie version (ep = 1)

Figure 3.13 The movie version (ep = 0.1)

Figure 3.13 The movie version (ep = 0.01)

Figure 3.15 The movie version

Chapter 4: Diffusion

Figures from chapter

Table 4.1
Figure 4.1 The movie version
Ref: "Measurement of the Translational and Rotational Brownian Motion of Individual Particles in a Rarefied Gas,"
by J. Blum, S. Bruns, D. Rademacher, A. Voss, B. Willenberg, and M. Krause
Physical Review Letters, vol. 97, Issue 23, id. 230601

Figure 4.5 The movie version

Figure 4.14 The movie version

Figure 4.24 The movie version (N=40)

Figure 4.24 The movie version (N=400)

Figure 4.24 The movie version (N=400)

Chapter 5: Traffic Flow

Figures from chapter

Chapter 6: Continuum Mechanics: One Spatial Dimension

Figure 6.5

Chapter 7: Elastic and Viscoelastic Materials

Figures from chapter

Table 7.1

Chapter 8: Continuum Mechanics: Three Spatial Dimensions

Chapter 9: Fluids

Figures from chapter
Figure 9.5 The movie version
Ref: "Velocity Field in a Pipe," Experiment of the Month, Physics Department, Millersville University
http://www.millersville.edu/physics/experiments/067/