Mathematical Induction (Part 3)

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Taught by IsAllAboutMath
  • Currently 3.0/5 Stars.
2544 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Description:

Learn about strong mathematical induction, the well ordering principle, and Fermat's method of infinite descent. Two famous proofs are also presented.

Questions answered by this video:
  • What is principle of strong or complete mathematical induction?
  • What is Fermat's method of infinite descent?
  • What is the well-ordering principle?
  • How can you prove that any natural number k > 1 is either prime or the product of primes?
  • How can you prove that the square root of 2 is irrational?
  • Staff Review

    • Currently 3.0/5 Stars.
    This lesson finishes off this series of lessons with strong mathematical induction. Also discussed are Fermat’s method of infinite descent, the well ordering principle, the proof that any natural number k > 1 is either prime or the product of primes, and a very unconventional proof that the square root of 2 is irrational using the method of infinite descent. A very interesting lesson on proof.