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MTH 126 Rowan College at Gloucester County Pascals Triangle Essay

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Question Description

  • Topic 1: Leonard Euler
    • Leonard Euler was one of the famous mathematicians of all time. He made countless contributions to math including some that pertain to Discrete Mathematics. Discuss at least three significant achievements of Euler. This must include a discussion to graph theory or topology.
  • Topic 2: Pascal’s Triangle
    • Pascal’s Triangle has an intimate connection to the Binomial Theorem. It also has many significant (and non-obvious) patterns in it. Discuss several of the patterns with illustrations and/or formulas arising from the Triangle.
  • Topic 3: Cryptography and Code Breaking
    • Cryptography has a long history from at least as early as Julius Caesar. American code breakers were instrumental in breaking the German Enigma codes and the Japanese Red and Purple codes during World War II. Discuss several of the developments and the people involved in cryptography and/or code breaking over the ages. A great reference would be J. Fagone’s book, “The Woman Who Smashed Codes,” which covered World War I to World War II.
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