History of algebra

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

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

Algebraic number theory and rings II | 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

Group theory | Math History | NJ Wildberger

Here we give an introduction to the historical development of group theory, hopefully accessible even to those who have not studied group theory before, showing how in the 19th century the subject evolved from its origins in number theory and algebra to embracing a good part of geometry.

From playlist MathHistory: A course in the History of Mathematics

Mechanics and the solar system | Math History | NJ Wildberger

The main historical problem in the history of science is: to explain what is going on with the night sky, in particular what the planets are doing. The resolution of this was the greatest achievement of the 17th century. The key figures were Copernicus, Galileo, Brahe, Kepler and most fa

From playlist MathHistory: A course in the History of Mathematics

Algebra for Beginners | Basics of Algebra

#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten

From playlist Linear Algebra

Calculus | Math History | N J Wildberger

Calculus has its origins in the work of the ancient Greeks, particularly of Eudoxus and Archimedes, who were interested in volume problems, and to a lesser extent in tangents. In the 17th century the subject was widely expanded and developed in an algebraic way using also the coordinate ge

From playlist MathHistory: A course in the History of Mathematics

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

History of computers - A Timeline

A timeline from the first computer, The Turing Machine, to the 1970's. Hope you guys enjoy,and make sure to subscribe and like! Adding subtitles for our video is welcomed! Your translation can help people around the world see our awesome videos! http://www.youtube.com/timedtext_cs_panel?c

From playlist Computers

SDS 460: The History of Algebra — with Jon Krohn

In this episode, I talk about the ancient history of algebra, an important component of data science today. Additional materials: https://www.superdatascience.com/460

From playlist Super Data Science Podcast

Quantum Mechanics -- a Primer for Mathematicians

Juerg Frohlich ETH Zurich; Member, School of Mathematics, IAS December 3, 2012 A general algebraic formalism for the mathematical modeling of physical systems is sketched. This formalism is sufficiently general to encompass classical and quantum-mechanical models. It is then explained in w

From playlist Mathematics

Start here to learn abstract algebra

I discuss H.M. Edwards' Galois Theory, a fantastic book that I recommend for anyone who wants to get started in the subject of abstract algebra and Galois theory, the algebraic theory of solving polynomial equations. I give a guide to the contents of the book, and explain what makes this b

From playlist Math

Creating a bar chart | Applying mathematical reasoning | Pre-Algebra | Khan Academy

We're going to create a bar chart together using using data from a survey. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/e/creating_bar_charts_1?utm_source=YT&utm_medium=Desc&utm_campaign

From playlist Analyzing categorical data | AP Statistics | Khan Academy

History of representation theory in quantum mechanics

In this video I speak about the early history of group representation theory in quantum mechanics using the rather recent history book by Schneider on van der Waerden, called "Zwischen Zwei Disziplinen". Other names dropped are Frobenius, Burnside, Schur, Killing, Study, Cartan, Weyl, Brau

From playlist Physics

Rinat Kedem: From Q-systems to quantum affine algebras and beyond

Abstract: The theory of cluster algebras has proved useful in proving theorems about the characters of graded tensor products or Demazure modules, via the Q-system. Upon quantization, the algebra associated with this system is shown to be related to a quantum affine algebra. Graded charact

From playlist Mathematical Physics

Pythagoras' theorem (a) | Math History | NJ Wildberger

Pythagoras' theorem is both the oldest and the most important non-trivial theorem in mathematics. This is the first part of the first lecture of a course on the History of Mathematics, by N J Wildberger, the discoverer of Rational Trigonometry. We will follow John Stillwell's text Mathem

From playlist MathHistory: A course in the History of Mathematics

Algebra 2 Regents August 2019 #25

In this video, we work through a probability example from the August 2019 Algebra 2 Regents exam. Here is the playlist for all the probability examples from the Algebra 2 Regents: https://www.youtube.com/playlist?list=PLntYGYK-wJE1TjpH6Xlvu-zb3yCZoCsYp Here is the playlist for the enti

From playlist Algebra 2 Regents - Probability

Pythagoras' theorem (b) | Math History | NJ Wildberger

Pythagoras' theorem is both the oldest and the most important non-trivial theorem in mathematics. This is the second part of the first lecture of a short course on the History of Mathematics, by N J Wildberger at UNSW (MATH3560 and GENS2005). We will follow John Stillwell's text Mathem

From playlist MathHistory: A course in the History of Mathematics

History of Mathematics - Complex Analysis Part 1: complex numbers. Oxford Maths 3rd Yr Lecture

Complex numbers pervade modern mathematics, but have not always been well understood. They first emerged in the sixteenth century from the study of polynomial equations, and were quickly recognised as useful – if slightly weird – mathematical tools. In these lectures (this is the first

From playlist Oxford Mathematics 3rd Year Student Lectures