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[본문내용]

A Visualization of Euler’s Identity in the Complex Plane

 

Introduction:

KISS. Keep It Simple, Stupid”. This principle had been in instilled in the minds of engineers, technicians, and mathematicians around the globe. Dubbed the KISS Principle, it states that for any single problem, an elegant and beautiful solution can be made possible, regardless of the problem’s complexity. The only criterion to meet; simplicity and stupidity. As an aspiring computer scientist, this principle had been instilled in me since my introduction to the discipline of computing. The idea of a simple, elegant, and beautiful solution for any problem sounds enticing, and yet it works! For any problem that I approach, I am able to compute it through the KISS principle. Take the Fibonacci Sequence, a fascinating topic for both mathematicians and computer scientists for its simple, recursive nature. Another famous example is the Collatz Conjecture. Though unproved, mathematicians still marvel at it due to how such a simple set of functions could affect number theory, and computer scientists adore it due to how easy the results are to compute. There are numerous times where I would have not been able to solve problems had it not been for the principle. However, as versatile as the KISS Principle is in allowing for the understanding of nearly any topic, there is yet one problem in which it has failed me – Euler’s Identity. Consider the identity below…

 

  • 총 페이지수: 14 pages
  • 과목명: Mathematics
  • 주제: A Visualization of Euler’s Identity in the Complex Plane
  • The file is in PDF format. 
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