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<H2> MTH-4A22: Introduction to Dynamical Systems, 2006-7 </H2>
<p>

This course will be a gentle introduction to dynamical
systems as a branch of pure mathematics. The basic notions
of recurrence, entropy, mixing and ergodicity will be
introduced. There will be a strong emphasis on examples,
and pre-requisites will be kept to a minimum.
<p>
We will probably follow
<a href="http://www.amazon.co.uk/gp/product/0521808413/ref=pd_rvi_gw_2/203-2274395-7588748"><i>Introduction to Dynamical Systems</I></a> by
Brin and Stuck most closely. Other useful sources for
this material may also be found in the more advanced
books
<a href="http://www.amazon.co.uk/gp/product/0387951520/ref=pd_rvi_gw_1/203-2274395-7588748"><i>An introduction to ergodic theory</i></a>
by Walters and
<a href="http://www.amazon.co.uk/Introduction-Dynamical-Encyclopedia-Mathematics-Applications/dp/0521575575/sr=1-1/qid=1161943152/ref=sr_1_1/203-2274395-7588748?ie=UTF8&s=books"><i>Introduction to the Modern Theory of
Dynamical Systems</i></a> by Katok and Hasselblatt.
<p>
<center>
<IMG border=0 hspace=20 SRC="brinstuck.jpg"
    ALT="Brin & Stuck cover">
<IMG border=0 hspace=20 SRC="kh.jpg"
    ALT="Katok & Hasselblatt cover">
<IMG Sborder=0 hspace=20 SRC="walters.jpg"
    ALT="Walters cover">
</center>
<p>
In addition, students who are not easily frightened
are welcome to consult the chapters as they
become available
of <a href="http://www.mth.uea.ac.uk/ergodic/"><i>Ergodic
theory: with a view towards number theory</i></a> by
Einsiedler and Ward.
<p>
Dynamical systems interacts with many different
parts of mathematics, including number theory,
combinatorics, differential equations, and so on.
The course will be of interest to students of both
the 'pure' and the 'applied' persuasion.


<p>
<h2>2006-7 course materials on the web:</h2>
<ul>
<li><a href="http://www.mth.uea.ac.uk/~h720/teaching/dynamicalsystems/courseworkandintro.pdf">Introduction</a></li>
<li><a href="http://www.mth.uea.ac.uk/~h720/teaching/dynamicalsystems/sheet1.pdf">Sheet 1</a></li>
<ul><li><a href="solutionsforweek7assessedwork.pdf">Outline
solutions for assessed questions in
Week 7</a></li>
</ul>
<li><a href="http://www.mth.uea.ac.uk/~h720/teaching/dynamicalsystems/sheet2.pdf">Sheet 2</a></li>
<ul>
<li>
<a href="solutionsforweek11assessedwork.pdf">Outline
solutions for assessed questions in
Week 11</a>
</li>
</ul>
<li>Supplementary material:</li>
<ul>
<li><a href="solutionsforallnonassessedwork.pdf">Outline
solutions for all non-assessed questions</a></li>
<li><a href="champernowne1933.pdf">Champernowne's paper from 1933</a></li>
<li><a href="MR0576976.pdf">Schmidt's paper on the beta
transformation from 1980</a></li>

</ul>
</ul>
</p>

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