7 videos in "Induction / Proofs"
Mathematical Induction (Part 3)
Mathematical Induction (Part 3)
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Part of video series Mathematical Induction
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.
