FOAM 2nd Edition

Introduction to the Foundations of Applied Mathematics (2nd Edition)
by Mark H. Holmes

Springer web page

Contact Information

Mark H. Holmes

Department of Mathematical Sciences

Rensselaer Polytechnic Institute, Troy, NY 12180 USA

holmes (@rpi.edu)

HomePage

Page Last Updated: 9/11/2024

Study Aids

Figures from textbook (all of them)

Table 1.1

Table 2.1

Table 4.1

Chapter 2: Perturbation Methods

Useful MATLAB Files

	lbvp.m		General solver for BVP: y'' + p(x)y' + q(x)y = f(x)
	nbvp.m		General solver for BVP: y'' = f(x, y, y')

Chapter 3: Kinetics

Movie Files (left click to stream and right click to download)

	Figure 3.6		the movie
	Figure 3.14		the movie
	Figure 3.17		the movie
	Figure 3.19		the movie

Extras

	kinetics.v3.mpl		This is a Maple program that can be used to analyze reactions.
	mm.mw		This is an example Maple session using kinetics.v3.
	Manual		This is a manual for kinetics (note kinetics.v3 is an updated version but works the same way as kinetics).

Chapter 4: Diffusion

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, 230601 (2006)

Movie Files (left click to stream and right click to download)

	Figure 4.2		The movie version
	Figure 4.10		The movie version
	Figure 4.12		The movie version
	Figure 4.17		The movie version
	Figure 4.24		The movie version
	Exercise 4.8		The movie version

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

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/