Mathematical Induction (Part 3)

Mathematical Induction (Part 3)
  • Currently 3.0/5 Stars.
2235 views, 1 rating - 00:12:00
Part of video series Mathematical Induction
Taught by IsAllAboutMath
Learn about strong mathematical induction, the well ordering principle, and Fermat's method of infinite descent. Two famous proofs are also presented.
  • 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?
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.
  • Currently 3.0/5 Stars.
Reviewed by MathVids Staff on March 13, 2009.
 
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