MAT 555 Introduction to Dynamical Systems, Spring 2012
Homework assignments
Week 1:
Look at: 1.1.2, 1.2.1, 1.2.4, 1.3.3, 1.4.3, 1.4.4, 1.7.3
Submit by February 3: 1.4.2, 1.7.4, 1.8.3, 1.11.2
Course information
This is an introduction to the theory of dynamical systems aimed at
second- and third- year graduate students.
Course requirements
completion of core courses or permission of instructor
class participation and completion of homework
Location and time
The lecture meets MWF from 9:35-10:30 in Physics P125.
Textbook
We will primarily use Introduction to Dynamical Systems by
Michael Brin and Garrett Stuck.
Most homework assignments will be taken from this text.
Recommended reading:
Introduction to the modern theory of dynamical systems,
by Anatole Katok and Boris Hasselblatt
(Cambridge University Press, 1996)
Ergodic Theory and Differentiable Dynamics,
by Ricardo Mañé
(Springer-Verlag, 1987)
"Finding a horseshoe on the beaches of Rio", by Stephen Smale
(Mathemathical Intelligencer, 1998)
The Scientific Legacy of Poincaré,
edited by Éric Charpentier, Éteinne Ghys, and Annick Lesne
(AMS and SMF, 2010)
Scholarpedia, Encyclopedia of dynamical systems
Instructor
Dr. Joshua Bowman
Office: Math Tower 3-114
Office hours:
MF 10:45-11:45 in my office
TBA in MSC
or by appointment
Email:
joshua dot bowman at gmail dot com
On Twitter, my handle is @Thalesdisciple.
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