Differential Equations: An Introduction to Modern Methods and Applications, 2nd Edition

REFERENCES

The following books were referred to in the text.

Bailey, N. T. J., The Mathematical Theory of Infectious Diseases and Its Applications (2nd ed.) (New York: Hafner Press, 1975).

Brauer, Fred and Castillo-Chávez, Carlos, Mathematical Models in Population Biology and Epidemiology (New York/Berlin: Springer-Verlag, 2001).

Clark, Colin W., Mathematical Bioeconomics (2nd ed.) (New York: Wiley-Interscience, 1990).

Henrici, Peter, Discrete Variable Methods in Ordinary Differential Equations (New York: Wiley, 1962).

Odum, E. P., Fundamentals of Ecology (3rd ed.) (Philadelphia: Saunders, 1971).

Sparrow, Colin, The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors (New York/Berlin: Springer-Verlag, 1982).

Strogatz, Steven H., Nonlinear Dynamics and Chaos (Reading, MA: Addison-Wesley, 1994).

There is a host of more advanced books on differential equations for those who wish to pursue the subject further. Here is a very small sample.

Arnol’d, Vladimir I., Ordinary Differential Equations (New York/Berlin: Springer-Verlag, 1992). Translation by Roger Cooke of the third Russian edition.

Brauer, Fred and Nohel, John A., The Qualitative Theory of Ordinary Differential Equations: An Introduction (New York: W. A. Benjamin, Inc., 1969; New York: Dover, 1989).

Coddington, Earl A., An Introduction to Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall, 1961; New York: Dover, 1989).

Guckenheimer, John and Holmes, Philip, Nonlinear Oscillations, Dynamical Systems, ...