Wilson's Theorem ← Number Theory
A proof of Wilson's Theorem, a basic result from elementary number theory. The theorem can be strengthened into an iff result, thereby giving a test for primality. (Though in practice there are far more efficient tests.) Subject: Elementary Number Theory Teacher: Michael Harrison Artist
From playlist Number Theory
This lecture is part of an online undergraduate course on the theory of numbers. We prove Wilsons' theorem that (p-1)! = -1 mod p, and give some generalizations and applications of it. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52Qf7lc3H
From playlist Theory of numbers
Number Theory | Wilson's Theorem Example
We give an example of an application of Wilson's Theorem. www.michael-penn.net
From playlist Number Theory
Number Theory | Wilson's Theorem
We state and prove Wilson's Theorem. www.michael-penn.net
From playlist Number Theory
Number Theory | Wilson's Theorem and Classification of Primes
We give a Corollary to Wilson's Theorem as well as a classification of primes using this result. www.michael-penn.net
From playlist Number Theory
(n-1)! is multiple of n when n≠4 is composite, in contrast to Wilson's Theorem for prime numbers
#numbertheory (n-1)! is multiple of n when n≠4 is composite. For prime numbers, Wilson's theorem, in number theory, states that any prime p divides (p − 1)! + 1
From playlist Elementary Number Theory
Topics in Combinatorics lecture 16.6 --- The Frankl-Wilson theorem on restricted intersection sizes
Let F be a family of subsets of {1,2,...,n} such that every set in F has size that satisfies some congruence condition mod p and every intersection of two distinct sets in F fails to satisfy that condition. How large can F be? The Frankl-Wilson theorem addresses this question and has had a
From playlist Topics in Combinatorics (Cambridge Part III course)
Cayley-Hamilton Theorem: General Case
Matrix Theory: We state and prove the Cayley-Hamilton Theorem over a general field F. That is, we show each square matrix with entries in F satisfies its characteristic polynomial. We consider the special cases of diagonal and companion matrices before giving the proof.
From playlist Matrix Theory
Introduction to number theory lecture 12 Wilson's theorem
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We discuss Wilsons theorem that (p-1)! = 1 mod p. The textbook is "An introduction to the
From playlist Introduction to number theory (Berkeley Math 115)
Wilson's Theorem Number Theory 14
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From playlist Number Theory
Wilson's Theorem -- Number Theory 14
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From playlist Number Theory v2
MATH1081 Discrete Maths: Chapter 3 Question 18
We show that if p is prime number then (p - 2)! is congruent to 1 mod p. Presented by Peter Brown of the School of Mathematics and Statistics, Faculty of Science, UNSW.
From playlist MATH1081 Discrete Mathematics
Croatian Mathematical Olympiad | 2005 Q11.1
We solve a nice number theory problem from the 2005 Croatian Mathematical Olympiad. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/mathematics/ Randolph Coll
From playlist Math Contest Problems
Extremal Combinatorics with Po-Shen Loh - 04/27 Mon
Carnegie Mellon University is protecting the community from the COVID-19 pandemic by running courses online for the Spring 2020 semester. This is the video stream for Po-Shen Loh’s PhD-level course 21-738 Extremal Combinatorics. Professor Loh will not be able to respond to questions or com
From playlist CMU PhD-Level Course 21-738 Extremal Combinatorics
In this video, I present Stokes' Theorem, which is a three-dimensional generalization of Green's theorem. It relates the line integral of a vector field over a curve to the surface integral of the curl of that vector field over the corresponding surface. After presenting an example, I expl
From playlist Multivariable Calculus
