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
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)
Theory of numbers:Introduction
This lecture is part of an online undergraduate course on the theory of numbers. This is the introductory lecture, which gives an informal survey of some of the topics to be covered in the course, such as Diophantine equations, quadratic reciprocity, and binary quadratic forms.
From playlist Theory of numbers
The Prime Number Theorem, an introduction ← Number Theory
An introduction to the meaning and history of the prime number theorem - a fundamental result from analytic number theory. Narrated by Cissy Jones Artwork by Kim Parkhurst, Katrina de Dios and Olga Reukova Written & Produced by Michael Harrison & Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways t
From playlist Number Theory
Computational Number Theory - Lecture 1/4 by Harris Daniels [CTNT 2018]
Full playlist: https://www.youtube.com/playlist?list=PLJUSzeW191QxlmJmz1glCXN0AF-VhXi-G Mini-course D: “Computational Number Theory” by Harris Daniels (Amherst College). Both Magma and Sage/CoCalc are extremely useful computer algebra packages for doing research in number theory. The
From playlist Number Theory
Introduction to Number Theory (Part 4)
The Euclidean algorithm is established and Bezout's theorem is proved.
From playlist Introduction to Number Theory
CTNT 2018 - "Computational Number Theory" (Lecture 2) by Harris Daniels
This is lecture 2 of a mini-course on "Computational Number Theory", taught by Harris Daniels, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - "Computational Number Theory" by Harris Daniels
A Short Course in Algebra and Number Theory - Elementary Number Theory
To supplement a course taught at The University of Queensland's School of Mathematics and Physics I present a very brief summary of algebra and number theory for those students who need to quickly refresh that material or fill in some gaps in their understanding. This is the fourth lectu
From playlist A Short Course in Algebra and Number Theory
Computing Reality (Lecture - 01) by David B Kaplan
Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography
Emergent geometry: The duality between gravity and quantum field theory - Juan Maldacena
Emergent geometry: The duality between gravity and quantum field theory - Juan Maldacena Juan Maldacena Institute for Advanced Study; Faculty, School of Natural Science February 20, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
An Introduction to Class-S and Tinkertoys (Lecture 2 )by Jacques Distler
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Lenore Blum - Alan Turing and the other theory of computing and can a machine be conscious?
Abstract Most logicians and theoretical computer scientists are familiar with Alan Turing’s 1936 seminal paper setting the stage for the foundational (discrete) theory of computation. Most however remain unaware of Turing’s 1948 seminal paper which introduces the notion of condition, sett
From playlist Turing Lectures
Univalence from a computer science point-of-view - Dan Licata
Vladimir Voevodsky Memorial Conference Topic: Univalence from a computer science point-of-view Speaker: Dan Licata Affiliation: Wesleyan University Date: September 14, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
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
The abstract chromatic number - Leonardo Nagami Coregliano
Computer Science/Discrete Mathematics Seminar I Topic: The abstract chromatic number Speaker: Leonardo Nagami Coregliano Affiliation: University of Chicago Date: March 22, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
The Abel lectures: László Lovász and Avi Wigderson
0:30 Introduction by the Abel Prize Committee Chair, Hans Munthe-Kaas 02:42 László Lovász: Continuous limits of finite structures 49:27 Questions and answers 1:00:31 Avi Wigderson: The Value of Errors in Proofs 1:41:24 Questions and answers 1:50:20 Final remarks by John Grue, Chair of the
From playlist Abel Lectures
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
Anne Baanen - Computing with or despite the computer - IPAM at UCLA
Recorded 14 February 2023. Anne Baanen of Vrije Universiteit presents "Computing with or despite the computer" at IPAM's Machine Assisted Proofs Workshop. Abstract: I have recently been collaborating on a project where we compute the class number of quadratic number fields, formally verifi
From playlist 2023 Machine Assisted Proofs Workshop