Number theory Full Course [A to Z]
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio
From playlist Number Theory
Prove that there is a prime number between n and n!
A simple number theory proof problem regarding prime number distribution: Prove that there is a prime number between n and n! Please Like, Share and Subscribe!
From playlist Elementary Number Theory
Abundant, Deficient, and Perfect Numbers ← number theory ← axioms
Integers vary wildly in how "divisible" they are. One way to measure divisibility is to add all the divisors. This leads to 3 categories of whole numbers: abundant, deficient, and perfect numbers. We show there are an infinite number of abundant and deficient numbers, and then talk abou
From playlist Number Theory
How to Write a Direct Proof: The Sum of Even Integers is Even
How to Write a Direct Proof: The Sum of Even Integers is Even A basic proof but done very carefully.
From playlist Number Theory
Intro to Number Theory and The Divisibility Relation
This video introduces the divisibility relation and provided several examples. mathispower4u.com
From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)
Number Theory - Fundamental Theorem of Arithmetic
Fundamental Theorem of Arithmetic and Proof. Building Block of further mathematics. Very important theorem in number theory and mathematics.
From playlist Proofs
Theory of numbers: Gauss's lemma
This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di
From playlist Theory of numbers
Introduction to Number Theory, Part 1: Divisibility
The first video in a series about elementary number theory, following the book by Underwood Dudley. We define the basic concept of divisibility, and prove a fundamental lemma. Intro:(0:00) Definition of Divisibility:(6:40) Our First Theorem:(9:00)
From playlist Introduction to Number Theory
Number Theory | Fundamental Theorem of Arithmetic
We give a proof of the Fundamental Theorem of Arithmetic. http://www.michael-penn.net
From playlist Number Theory
Supersymmetric Gauge Dynamics, Part 1 - Nathan Seiberg
Supersymmetric Gauge Dynamics, Part 1 Nathan Seiberg Institute for Advanced Study July 21, 2010
From playlist PiTP 2010
Pure Gauge Flux Tubes and Effective Strings by N.D. Hari Dass
PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II
From playlist NUMSTRING 2022
Signatures of theories beyond General Relativity through GW by Sumanta Chakraborty
DISCUSSION MEETING THE FUTURE OF GRAVITATIONAL-WAVE ASTRONOMY ORGANIZERS : Parameswaran Ajith, K.G. Arun, B.S. Sathyaprakash, Tarun Souradeep and G. Srinivasan DATE : 19 August 2019 to 22 August 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This discussion meeting, or
From playlist The Future of Gravitational-wave Astronomy 2019
11. Atoms in External Fields III
MIT 8.421 Atomic and Optical Physics I, Spring 2014 View the complete course: http://ocw.mit.edu/8-421S14 Instructor: Wolfgang Ketterle In this video, the professor reviewed second order perturbation theory and discussed beyond the quadratic Stark effect, field ionization, and atoms in os
From playlist MIT 8.421 Atomic and Optical Physics I, Spring 2014
Giulia Galli - Embedding theories for quantum simulations on hybrid classical-quantum architectures
Recorded 28 March 2022. Giulia Galli of the University of Chicago, Chemistry, presents "Embedding theories for quantum simulations on hybrid classical-quantum architectures" at IPAM's Multiscale Approaches in Quantum Mechanics Workshop. Abstract: We discuss a quantum embedding theory [1] t
From playlist 2022 Multiscale Approaches in Quantum Mechanics Workshop
Intrinsic Diophantine approximation (Lecture 3) by Amos Nevo
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
From Weak to Strong Coupling Without Holography by Paul Romatschke
DISCUSSION MEETING EXTREME NONEQUILIBRIUM QCD (ONLINE) ORGANIZERS: Ayan Mukhopadhyay (IIT Madras) and Sayantan Sharma (IMSc Chennai) DATE & TIME: 05 October 2020 to 09 October 2020 VENUE: Online Understanding quantum gauge theories is one of the remarkable challenges of the millennium
From playlist Extreme Nonequilibrium QCD (Online)
The Whole of AQA A Level Psychology | Revision for Exams
A-Level Psychology Courses, FREE revision guide & workbooks https://primrosekitten.org/a-level-psychology/ To sign up to the mailing list for discount codes and updates https://mailchi.mp/161c4e43b8bf/primrosekitten Study planners https://www.primrosekitten.com/collections/study-planners
From playlist AQA A-Level Psychology | Revision Playlist
Scientific Seminar: First results from the Muon g-2 experiment at Fermilab
The first results from the Muon g-2 experiment at Fermilab were unveiled and discussed in a special seminar on April 7, 2021. The experimental result was presented by Chris Polly, Fermilab physicist and co-spokesperson for the Muon g-2 scientific collaboration, following a summary of the c
From playlist Muon g-2
How to construct the (true) complex numbers I | Famous Math Problems 21a | N J Wildberger
The usual story of complex numbers needs to be strengthened and enlarged for the 21st century! Supposing that the complex numbers are a quadratic field extension of the "real numbers" is clearly inadequate, as the arithmetic of "real numbers" is mostly absent, and essentially vacuous. Noti
From playlist Famous Math Problems