Friday, 13 November 2009

Chaos Theory, Dynamic Systems, And Fractal Geometry

Welcome to the Chaos Theory, Dynamic Systems, And Fractal Geometry web page! This is an educational web page whose purpose is to make learning many of the complicated theories and ideas behind the theory of chaos, dynamic systems, and fractal geometry easier and more fun. It approaches problems from many different angles and gives users the feel of having their own private tutor.
To navigate your way around this site, use the menu in the left frame. Clicking on the any of the text or its ajoining sphere will lead to what the tag suggests. If your browser supports
Sun Microsystems' Java, when you move the mouse over the tag's ajoining sphere, a menu with references to indivual sections of the document will apear, allowing quick access to more specific topics. To return to this page at any time, select Main Page from the menu. Please note that just because a particular topic is not listed on the menu, does not mean that it is not covered in that page. There are far too many topics covered in each page to list in one menu. It is strongly encouraged that you begin reading from the top of the page and read through untill the end. For more information on the indivual items of the menu, please keep reading.
The second item on the menu, chaos theory, leads to a page dealing with the theory of chaos and dynamic systems. It also deals with many of the principles behind chaos theory, such as sensitive dependance. The main topic of this page is the idea that simple dynamic processes can behave very complex and in an almost random fashion.

Fractal geometry, the third item on the menu, leads to a page covering fractals and the geometry of fractals; to include their graphical representation and their relevance to everyday life. The complex mathematical meaning behind fractals will also be examined and explained in a way such that most anyone can understand.
The fourth item on the menu leads to a comprehensive
glossary of terms and phrases relating to chaos theory, dynamic systems, and fractal geometry. It is a buildable glossary, which means that if you have another word which you think would be helpful or if you would like to build upon the definition of an already present word, you can add a word to it.
The last items on menu are the
appendices. The first appendix, entitled documentation, has a list of several supplementary documents which have been written to aid you on your journey through chaos theory, dynamic systems, and fractal geometry. The second appendix is a comprehensive list of all of the source code used in this site.



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