History of the Theory of Numbers

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

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

Number theory and algebra in Asia (a) | Math History | NJ Wildberger

After the later Alexandrian mathematicians Ptolemy and Diophantus, Greek mathematics went into decline and the focus shifted eastward. This lecture discusses some aspects of Chinese, Indian and Arab mathematics, in particular the interest in number theory: Pell's equation, the Chinese rema

From playlist MathHistory: A course in the History of Mathematics

Number systems and Stevin's decimals | Math History | NJ Wildberger

We review some of the development of number systems from the ancient Greeks, followed by the Indian and then Arabic development of our Hindu-Arabic numeral system. Then we focus on the new directions forged by the European mathematicians of the 15th and 16th centuries, culminating in the w

From playlist MathHistory: A course in the History of Mathematics

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 and algebra in Asia (b) | Math History | NJ Wildberger

After the later Alexandrian mathematicians Ptolemy and Diophantus, Greek mathematics went into decline and the focus shifted eastward. This lecture discusses some aspects of Chinese, Indian and Arab mathematics, in particular the interest in number theory (Pell's equation, the Chinese rema

From playlist MathHistory: A course in the History of Mathematics

Algebraic number theory and rings I | Math History | NJ Wildberger

In the 19th century, algebraists started to look at extension fields of the rational numbers as new domains for doing arithmetic. In this way the notion of an abstract ring was born, through the more concrete examples of rings of algebraic integers in number fields. Key examples include

From playlist MathHistory: A course in the History of Mathematics

Greek Mathematics: The Beginning of Greek Math & Greek Numerals

Welcome to the History of Greek Mathematics mini-series! This series is a short introduction to Math History as a subject and the some of the important theorems created in ancient Greece. You are watching the first video in the series. If this series interested you check out our blog for

From playlist The History of Greek Mathematics: Math History

1. Introduction to Theory of City Form

MIT 4.241J Theory of City Form, Spring 2013 View the complete course: http://ocw.mit.edu/4-241JS13 Instructor: Julian Beinart This lecture covers the motivations for the course, an introduction of urban history, and the role of cities throughout human history. The professor gives a brief

From playlist MIT 4.241J Theory of City Form, Spring 2013

The State of the Universe - J. Hartle - 12/9/2013

A conference celebrating the 50th anniversary of quarks honoring Murray Gell-Mann was held at Caltech on December 9-10, 2013. For more information, visit: http://hep.caltech.edu/gm/

From playlist The 50th Anniversary of Quarks Honoring Murray Gell-Mann

David Deutsch - Many Worlds of Quantum Theory

Quantum theory is very strange. No act is wholly sure. Everything works by probabilities, described by a wave function. But what is a wavefunction? One theory is that every possibility is in fact a real world of sorts. This is the Many Worlds interpretation of Hugh Everett and what it clai

From playlist Closer To Truth - David Deutsch Interviews

Lecture 10 | New Revolutions in Particle Physics: Basic Concepts

(December 3, 2009) Leonard Susskind gives the tenth lecture of a three-quarter sequence of courses that will explore the new revolutions in particle physics. In this lecture he continues on the subject of quantum field theory, including, the diary equation and Higgs Particles. Leonard S

From playlist Lecture Collection | Particle Physics: Basic Concepts

Aaron Gerow: History of Japanese Film Theory

February 19, 2014 Professor Gerow teaches courses in Japanese cinema and popular culture, film studies, and film genre, as well as seminars on Japanese film and cultural theory. He has published numerous articles and books in English, Japanese, and other languages on such topics as Japanes

From playlist The MacMillan Report

Michael Atiyah, Geometry in 2, 3, and 4 Dimensions

From playlist Mathematics

Consistent quantum histories and the probability for singularity resolution by Parampreet Singh

21 November 2016 to 10 December 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Quantum Theory has passed all experimental tests, with impressive accuracy. It applies to light and matter from the smallest scales so far explored, up to the mesoscopic scale. It is also a necessary ingredie

From playlist Fundamental Problems of Quantum Physics

Setting a New Stage for History of Science - A. Shapiro - 4/26/2019

On April 26-27 2019, the Division of Humanities & Social Sciences at Caltech hosted a conference in honor of Jed Z. Buchwald, “Looking Back as We Move Forward: The Past, Present, and Future of the History of Science.” This event was sponsored by the Division of the Humanities & Social Sci

From playlist Looking Back as We Move Forward - A Conference in Honor of Jed Z. Buchwald - 4/26-27/2019

History of Science and Technology Q&A (March 9, 2022)

Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram If you missed the original livestream of

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

A Brief History of Number Systems (2 of 3: From Tallies to Fractions)

via YouTube Capture

From playlist Mathematical Exploration

Why the West Rules -- For Now

October 21, 2010 - Ian Morris discusses why the western world dominates the planet today and how it came to gain control. He suggests that looking at long-term history can tell us why this happened -- and what might happen next. This talk was presented as part of the Classes Without Quizz

From playlist Reunion Homecoming