Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers (arithmetic). Classic geometry was focused in compass and straightedge constructions. Geometry was revolutionized by Euclid, who introduced mathematical rigor and the axiomatic method still in use today. His book, The Elements is widely considered the most influential textbook of all time, and was known to all educated people in the West until the middle of the 20th century. In modern times, geometric concepts have been generalized to a high level of abstraction and complexity, and have been subjected to the methods of calculus and abstract algebra, so that many modern branches of the field are barely recognizable as the descendants of early geometry. (See Areas of mathematics and Algebraic geometry.) (Wikipedia).
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
Mechanics and curves | Math History | NJ Wildberger
The laws of motion as set out by Newton built upon work of Oresme, Galileo and others on dynamics, and the relations between distance, velocity and acceleration in trajectories. With Newton's laws and the calculus, a whole new arena of practical and theoretical investigations opened up to
From playlist MathHistory: A course in the History of Mathematics
Introduction to Geometry: Ancient Greece and the Pythagoreans
I have to tell you, Ancient Greece is my favorite era of history. Oh, how I wish I could have been there to philosophize with the greats! Socrates, Plato, Aristotle, plus all of the mathematicians, like Pythagoras. He loved math so much, he made a religion out of it! I mean it makes sense,
From playlist Geometry
Analytic geometry and the continuum (b) | Math History | NJ Wildberger
The development of Cartesian geometry by Descartes and Fermat was one of the main accomplishments of the 17th century, giving a computational approach to Euclidean geometry. Involved are conics, cubics, Bezout's theorem, and the beginnings of a projective view to curves. This merging of nu
From playlist MathHistory: A course in the History of Mathematics
Non-Euclidean geometry | Math History | NJ Wildberger
The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sadness, confusion and orthodoxy, that is reflected even the geometry studied today. The important insights of Gauss, Lobachevsky and Bo
From playlist MathHistory: A course in the History of Mathematics
A brief history of geometry I | Sociology and Pure Mathematics | N J Wildberger
An overview of the early history of geometry from Mesolithic times, through to the ancient Greeks, Indian and Islamic mathematicians around 1400 A. D. Along the way we discuss some of the more important theorems in this history, and meet also the Platonic solids. The story of geometry has
From playlist Sociology and Pure Mathematics
Geometry for Kids - Introduction
This is a series of videos on Geometry, with kids in mind (~ 9 or 10 years old). We will start from some basic definitions, and then work on some elementary plane geometry: lines, angles, polygons, triangles, etc, and work our way up to proving some theorems! In this first video, we introd
From playlist Geometry for Kids
Greek Mathematics: Pythagoras and His Followers
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 second video in the series. If this series interested you check out our blog for
From playlist The History of Greek Mathematics: Math History
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
Edward Witten: On the Shoulders of Giants
Acknowledging the scientists who blazed intellectual trails before him, Isaac Newton wrote, “If I have seen a little further it was by standing on the shoulders of giants.” In this special annual series, we invite our audience to stand on the shoulders of a modern-day giant. In 2015, we
From playlist Watch Our Most Popular Programs
Ancient Aliens: UFO Hot Spots CONNECTED by SACRED GEOMETRY (Season 14) | History
Watch all new episodes of Ancient Aliens returning soon, and stay up to date on all of your favorite History Channel shows at https://history.com/schedule. Ancient Astronaut Theorists believe that on Earth there are powerful hot spots that enable intergalactic teleportation. To find these
From playlist Ancient Aliens: Official Series Playlist | New Episodes Fridays at 9/8c | History
20. Paradise XVIII, XIX, XXI, XXII
Dante in Translation (ITAL 310) In this lecture, Professor Mazzotta examines Paradise XVIII-XIX and XXI-XXII. In Paradise XVIII, Dante enters the Heaven of Jupiter, where the souls of righteous rulers assume the form of an eagle, the emblem of the Roman Empire. The Eagle's outcry agains
From playlist Dante in Translation with Giuseppe Mazzotta
The History of Non-Euclidean Geometry - Sacred Geometry - Extra History - #1
Before we get into non-Euclidean geometry, we have to know: what even is geometry? What's up with the Pythagorean math cult? Who was Euclid, for that matter? And what the heck is the 5th Postulate? Support us on Patreon! http://bit.ly/EHPatreon (--More below) Subscribe for new episodes ev
From playlist Extra History: Chronological Order (1700 CE - Present)
Golden Age of Athens, Pericles and Greek Culture | World History | Khan Academy
Overview of cultural contributions of Classical Greece. Golden Age of Athens. Age of Pericles. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/socrates-plato-aristotle Missed the previous lesson? Watch here: https://www.khan
From playlist 600 BCE - 600 CE Second-Wave Civilizations | AP World History | Khan Academy
Maps between Surfaces by Athanase Papadopoulos
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
A brief history of geometry II: The European epoch | Sociology and Pure Mathematics | N J Wildberger
Let's have a quick overview of some of the developments in the European story of geometry -- at least up to the 19th century. We'll discuss Cartesian geometry, Projective geometry, Descriptive geometry, Algebraic geometry and Differential geometry. This is meant for people from outside m
From playlist Sociology and Pure Mathematics
Long-term history and ephemeral configurations – Catherine Goldstein – ICM2018
Plenary Lecture 12 Long-term history and ephemeral configurations Catherine Goldstein Abstract: Mathematical concepts and results have often been given a long history, stretching far back in time. Yet recent work in the history of mathematics has tended to focus on local topics, over a s
From playlist Plenary Lectures