Gregory's series, is an infinite Taylor series expansion of the inverse tangent function.It was discovered in 1668 by James Gregory. It was re-rediscovered a few years later by Gottfried Leibniz, who re obtained the Leibniz formula for π as the special case x = 1 of the Gregory series. (Wikipedia).
(October 8, 2012) Leonard Susskind continues his discussion of Riemannian geometry and uses it as a foundation for general relativity. This series is the fourth installment of a six-quarter series that explore the foundations of modern physics. In this quarter, Susskind focuses on Einst
From playlist Lecture Collection | General Relativity
The history of Taylor Series and Maclaurin Series including the works of de Lagny, Halley, Gregory, and Madhava using primary sources whenever possible. Lesson also presents the Taylor Theorem along with visualizations of James Gregory's equations. Finally the video discusses the time peri
From playlist Numerical Methods
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
(October 1, 2012) Leonard Susskind introduces some of the building blocks of general relativity including proper notation and tensor analysis. This series is the fourth installment of a six-quarter series that explore the foundations of modern physics. In this quarter, Susskind focuses o
From playlist Lecture Collection | General Relativity
A01 An introduction to a series on space medicine
A new series on space medicine.
From playlist Space Medicine
Cassini: Four Years of Discovery
New revelations of Saturn, its moons and rings, courtesy of NASA's Cassini mission to Saturn.
From playlist Cassini at Saturn
Lagrange Bicentenary - Cédric Villani's conference
From the stability of the Solar system to the stability of plasmas
From playlist Bicentenaire Joseph-Louis Lagrange
Lagrange Bicentenary - Jacques Laskar's conference
Lagrange and the stability of the Solar System
From playlist Bicentenaire Joseph-Louis Lagrange
Computing π: Machin-like formula
Machin-like formulae are used to find many decimal places of pi, although why they work can seem confusing. This lesson shows how the Taylor Series of arctangent is used to compute π, and the power of combining it with Machin's approach, as well as covering the history of Gregory, Leibniz,
From playlist Numerical Methods
Adorable Bear Cubs Crash Campsite | Expedition Raw
Imagine arriving at one of the last places on Earth, where, as Bertie Gregory puts it, “wild land meets wild ocean.” It would take two planes, multiple car rides, and a ferry just to begin the journey. There is no access to the Internet and no phone signal. Then imagine a surprise visit
From playlist Exploration | National Geographic
Why don't they teach Newton's calculus of 'What comes next?'
Another long one. Obviously not for the faint of heart :) Anyway, this one is about the beautiful discrete counterpart of calculus, the calculus of sequences or the calculus of differences. Pretty much like in Alice's Wonderland things are strangely familiar and yet very different in this
From playlist Recent videos
Sea Wolf: The Search Begins (Episode 1) | wild_life with bertie gregory
UPDATE: Love the wild_life series? Check back for all-new episodes starting October 4! In the first episode of wild_life with Bertie Gregory, Bertie heads to Vancouver Island, British Columbia, where he prepares to spend three months in the wild filming the epic animals that call this pla
From playlist Trending Videos | National Geographic
Whales (Episode 10) | wild_life with bertie Gregory
Bertie Gregory has been so focused on the large land animals of this place, he's hardly noticed what's lurking in the waters just off shore. So this week, he's on the hunt for the biggest animals in this ecosystem: whales and orcas, some of the most massive animals on Earth. Even though we
From playlist Animals & Wildlife | Nat Geo Wild
Wolves: Waiting for a Sighting (Episode 4) | wild_life with bertie gregory
After weeks of roaming around the pristine landscape of Vancouver Island in search of the mysterious coastal wolves, wildlife photographer Bertie Gregory is trying a different method. Instead of chasing footprints through the woods, he’s putting down roots and spending a week in a hide in
From playlist Trending Videos | National Geographic
Sea Wolf Encounter (Episode 16) | wild_life with bertie gregory
Setting off in the darkness before sunrise, Bertie returns to the spot where he discovered promising signs of coastal wolf activity the day before. Getting into position near an animal carcass and armed with a remote camera, he waits ... and waits, and waits—until he finally spies what he
From playlist Animals & Wildlife | Nat Geo Wild
A Quest to Find Canada’s Elusive Coastal Wolf | Nat Geo Live
After Bertie Gregory received heartbreaking news that a coastal wolf he had photographed while working as a deckhand off the coast of Vancouver Island had been killed, Gregory returns with the intent of helping to raise awareness for the conservation of the species. ➡ Subscribe: http://bit
From playlist Exploration | National Geographic
The History of Autobiography and Byzantine Literature
This paper was delivered by Stratis Papaioannou at the Byzantine/Modernism Symposium in a panel entitled, "Byzantine Subjectivity in Modernity," which also included a paper by Gayatri Chakravorty Spivak and was chaired by Roland Betancourt. Professor Papaioannou's paper analyzes the (mis-
From playlist Byzantium/Modernism
The geometric series.
From playlist Advanced Calculus / Multivariable Calculus