Georg Friedrich Bernhard Riemann (German: [ˈɡeːɔʁk ˈfʁiːdʁɪç ˈbɛʁnhaʁt ˈʁiːman]; 17 September 1826 – 20 July 1866) was a German mathematician who made contributions to analysis, number theory, and differential geometry. In the field of real analysis, he is mostly known for the first rigorous formulation of the integral, the Riemann integral, and his work on Fourier series. His contributions to complex analysis include most notably the introduction of Riemann surfaces, breaking new ground in a natural, geometric treatment of complex analysis. His 1859 paper on the prime-counting function, containing the original statement of the Riemann hypothesis, is regarded as a foundational paper of analytic number theory. Through his pioneering contributions to differential geometry, Riemann laid the foundations of the mathematics of general relativity. He is considered by many to be one of the greatest mathematicians of all time. (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 Riemann Hypothesis, Explained
The Riemann hypothesis is the most notorious unsolved problem in all of mathematics. Ever since it was first proposed by Bernhard Riemann in 1859, the conjecture has maintained the status of the "Holy Grail" of mathematics. In fact, the person who solves it will win a $1 million prize from
From playlist Explainers
Marcus du Sautoy on John Tates' work
Marcus Peter Francis du Sautoy is a British mathematician, author, and populariser of science and mathematics. You can view more content of Marcus du Sautoy here: https://www.youtube.com/channel/UCYF21Xc9fSdqVWRxpBAOleQ/featured This video is a clip from the Abel Prize Announcement 2009
From playlist Popular presentations
The Riemann Hypothesis - Picturing The Zeta Function
in this chapter i will show how to visualize the zeta and eta functions in the proper way meaning that everything on those two functions is made out of spirals all over the grid and the emphasis in this chapter will be on the center points of the spirals mainly the divergent spirals 0:00
From playlist Summer of Math Exposition Youtube Videos
Definite integral as the limit of a Riemann sum | AP Calculus AB | Khan Academy
Definite integrals represent the exact area under a given curve, and Riemann sums are used to approximate those areas. However, if we take Riemann sums with infinite rectangles of infinitely small width (using limits), we get the exact area, i.e. the definite integral! Created by Sal Khan.
From playlist Integration and accumulation of change | AP Calculus BC | Khan Academy
Imaginary Numbers Are Real [Part 12: Riemann's Solution]
Want to experiment with Riemann's idea yourself? You can download your very own copy of of the final w-planes to experiment with here: http://www.welchlabs.com/blog/2016/6/30/imaginary-numbers-are-real-part-12-riemanns-solution Supporting Code: https://github.com/stephencwelch/Imaginary-N
From playlist Imaginary Numbers are Real
The History of Non-Euclidean Geometry - A Most Terrible Possibility - Extra History - #4
In the early 19th century, people started to wonder if the Fifth Postulate couldn't be proven at all--meaning that it could be right, but it could also be wrong. Bolyai, Lobachevsky, and Riemann started exploring hyperbolic geometry and other strange realms... Support us on Patreon! http:/
From playlist Extra History: Chronological Order (1700 CE - Present)
Euler’s Pi Prime Product and Riemann’s Zeta Function
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) What has pi to do with the prime numbers, how can you calculate pi from the licence plate numbers you en
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Riemann's paradox: pi = infinity minus infinity
With the help of a very famous mathematician the Mathologer sets out to show how you can subtract infinity from infinity in a legit way to get exactly pi. Thank you very much to Danil Dmitriev the official Mathologer translator for Russian for his subtitles. Enjoy :) Thank you very muc
From playlist Recent videos
In this video, we explore the "pattern" to prime numbers. I go over the Euler product formula, the prime number theorem and the connection between the Riemann zeta function and primes. Here's a video on a similar topic by Numberphile if you're interested: https://youtu.be/uvMGZb0Suyc The
From playlist Other Math Videos
The Basel Problem (1 of 9: Prologue)
This video is one of nine parts. Watch the rest here: https://youtube.com/playlist?list=PL5KkMZvBpo5CHAV85gvW2DrckWx0ARiJE More resources available at www.misterwootube.com
From playlist The Basel Problem