Computer Science Project Abstract
COMPUTER EXPLORATIONS OF FRACTALS
Presenter:
Daniel Gulotta, Illinois Mathematics and Science Academy, 1500 West Sullivan Road, Aurora, IL 60506; dgulotta@imsa.edu
Advisors:
Laura Nickerson, Science, Illinois Mathematics and Science Academy, 1500 West Sullivan Road, Aurora, IL 60506; physnicks@imsa.edu; 630-907-5915
David Workman, Ph.D., Science, Illinois Mathematics and Science Academy, 1500 West Sullivan Road, Aurora, IL 60506; workman@imsa.edu; 630-907-5915
Abstract:
There are often many ways to solve a physics problem. Solutions may be valued for elegance, clarity, and ability to generalize. The use of Lagrangian and Hamiltonian mechanics can often simplify problems and lead to advanced theorems. Often, techniques such as the superposition principle and change of variables prove useful. While there is no appraoch that is always effective, familiarity with these techniques is extremely beneficial. They often lead to beautiful, relatively simple, solutions that are not raedily apparent. This presentation will give examples of elegant solutions that come from these techniques. The focus wll be on mechanics, although other areas of physics will be included. Many problems will involve mathematical tricks that make calculcations much simpler. The goal of this presentation is to convey unique ways of looking at physics that are both pratical and intriguing.