There will not be a standard required
text for this course. However, there are plenty of books in the library, or
you could borrow one of mine periodically. Much of the information you will
need can also be found on the Internet and in the class notes. Useful
reference materials are listed below. Specific references will be placed on the materials page along with
class worksheets.
Main Topics
Online Differential Equations Lectures
Textbooks on ODEs
In Library
- Differential equations : a dynamical systems approach / John H.
Hubbard, Beverly H. West
- Differential equations and their applications / Martin Braun
- Differential equations : a modern approach / Harry Hochstadt
- Dynamical systems : differential equations, maps, and chaotic
behaviour / D.K. Arrowsmith and C.M. Place
Inexpensive Texts
Some Standard Texts
Other Texts
K. T. Aligood, T. D. Sauer, and J. A. Yorke, Chaos, an introduction
to dynamical systems, Springer-Verlag.
V. I. Arnold, Ordinary Differential Equations, MIT press or
Springer Verlag.
G. F. Carrier and C. E. Pearson, Ordinary Differential Equations,
Blaisdell.
E. A. Coddington, An Introduction to Ordinary Differential Equations,
Prentice Hall.
R. L Devaney, An Introduction to Chaotic Dynamical Systems,
Benjamin-Cummings.
M. W. Hirsch and S. Smale, Differential Equations, Dynamical Systems,
and Linear Algebra, Academic Press.
I. Percival and D. Richards, Introduction to Dynamics, Cambridge
University Press.
D. A. Sanchez, Ordinary Differential Equations and Stability Theory:
an Introduction, Dover.
G. F. Simmons, Differential Equations with Applications and Historical
Notes, McGraw-Hill.
S. H. Strogatz, Nonlinear Dynamics and Chaos with Applications to
Physics, Biology, Chemistry, and Engineering, Addison-Wesley.
S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and
Chaos, Springer Verlag.
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