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<!DOCTYPE html>
<html lang="en">
<head>
<title>complex repository</title>
<meta charset="UTF-8">
<meta name="description" content="Uniform flow around circle">
<meta name="author" content="Juan Carlos Ponce Campuzano">
<meta name="language" content="en"/>
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<a href="https://jcponce.github.io/" class="w3-bar-item w3-button w3-hover-indigo"> <i class="fa fa-home"></i></a>
<a class="w3-bar-item w3-right w3-hide-small w3-hide-medium w3-indigo serif">complex repository</a>
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<h1>complex repository</h1>
<hr>
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<div class="w3-container">
<h3>Welcome</h3>
<p>Hi, here you can find my sketches about complex analysis.</p>
<p>Access the online book <a class="w3-text-indigo w3-hover-text-blue" href="https://jcponce.github.io/cabook">Complex Analysis</a> to play with them.</p>
<p>I also discovered recently <a class="w3-text-indigo w3-hover-text-blue" href="https://jcponce.github.io/">Cindy.js</a> and I am learning to use it. I have adapted some applets and now I am putting them in this repository. Some examples are:</p>
<ul>
<li><a class="w3-text-indigo w3-hover-text-blue" href="https://jcponce.github.io/complex/domcoloring/">Domain coloring</a></li>
<li><a class="w3-text-indigo w3-hover-text-blue" href="https://jcponce.github.io/complex/dclandscape/">Analytic landscape v1</a></li>
<li><a class="w3-text-indigo w3-hover-text-blue" href="https://jcponce.github.io/complex/analyticlandscape/">Analytic landscape v2</a></li>
<li><a class="w3-text-indigo w3-hover-text-blue" href="https://jcponce.github.io/complex/taylorseries/">Taylor series</a></li>
<li>Finally, one that I made, <a class="w3-text-indigo w3-hover-text-blue" href="https://jcponce.github.io/complex/powerfunction/">Power functions</a></li>
</il>
</p>
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<img id="myImg" class="w3-card-4 w3-round-small" src="screenshot.png" alt="sample" style="width:97%">
<br>
<p>Screenshot of Power functions applet</p>
</div>
</div>
<hr>
</div>
<div class="w3-container">
<h2>References</h2>
<ol>
<li>Ablowitz, M. J., Fokas, A. S. (2003). <em>Complex variables: introduction and applications</em> (2nd ed). Cambridge University Press.</li>
<li>Brown, J. W., Churchill, R. V. (2009). <em>Complex Variables and Applications.</em> 8th Edition. New York: McGraw-Hill Higher Education.
</li>
<li>Needham, T. (1997). <em>Visual Complex Analysis.</em> New York: The Clarendon Press,
Oxford University Press.</li>
<li>Ablowitz, M. J. & Fokas, A. S. (2003). <em>Complex variables: introduction and applications</em> (2nd ed). Cambridge University Press.</li>
<li>Breda, A. Trocado, A. & Santos, J. (2013). O GeoGebra para além da segunda dimensão. <em>Indagatio Didactica</em>, 5(1). Recuperado el 12 de junio de 2018, de
<a href="http://revistas.ua.pt/index.php/ID/article/view/2421" target="_blank" title="Open link" class="w3-text-indigo w3-hover-text-blue"><i class="fas fa-external-link-alt"></i></a></li>
<li>Crone, L. (s.f) <em>Color graphs of complex functions.</em> <a href="http://fs2.american.edu/lcrone/www/ComplexPlot.html" target="_blank" title="Open link" class="w3-text-indigo w3-hover-text-blue"><i class="fas fa-external-link-alt"></i></a></li>
<li>Farris, F. (1997). <em>Visualizing complex-valued functions in the plane.</em> <a href="http://www.maa.org/pubs/amm_complements/complex.html" target="_blank" title="Open link" class="w3-text-indigo w3-hover-text-blue"><i class="fas fa-external-link-alt"></i></a></li>
<li>Farris, F. A. (1998). Review of Visual Complex Analysis. By Tristan Needham. <em>American Mathematical Monthly</em> 105 (1998), 570–576.</li>
<li>Liste, R. L. (2014). El color dinámico de GeoGebra. <em>Gaceta De La Real Sociedad Matematica Española</em>, 17, 525–547, Madrid. </li>
<li>Lundmark, H. (2004). <em>Visualizing complex analytic functions using domain coloring.</em> <a href="http://users.mai.liu.se/hanlu09/complex/domain_coloring.html" target="_blank" title="Open link" class="w3-text-indigo w3-hover-text-blue"><i class="fas fa-external-link-alt"></i></a></li>
<li>Needham, T. (1997). <em>Visual Complex Analysis.</em> Oxford University Press, Oxford.</li>
<li>Marsden, J. E. & Hoffman, M. J. (1987) <em>Basic Complex Analysis.</em> (2nd ed.) W. H. Freeman and Co,
New York.</li>
<li>Farris, F. A. (1998). Review of Visual Complex Analysis. By Tristan Needham. <em>American Mathematical Monthly</em> 105 (1998), 570–576.</li>
<li>Wegert, E. (2010). Phase diagrams of meromorphic functions. <em>Comput. Methods Funct.</em> Theory 10, 639-661.</li>
<li>Wegert, E. (2012). <em>Visual Complex Functions: An introduction with phase portraits.</em> New York: Springer Basel.</li>
<li>Wegert, E. & Semmler, G. (2011). Phase plots of complex functions: a journey in illustration. <em>Notices Amer. Math. Soc.</em> 58, 768-780. <a href="https://www.ams.org/notices/201106/rtx110600768p.pdf" target="_blank" title="Open link" class="w3-text-indigo w3-hover-text-blue"><i class="fas fa-external-link-alt"></i></a></li>
<li>Wikipedia: <em>Domain Coloring</em> <a href="https://en.wikipedia.org/wiki/Domain_coloring" target="_blank" title="Open link" class="w3-text-indigo w3-hover-text-blue"><i class="fas fa-external-link-alt"></i></a></li>
</ol>
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