I define one of the most important constants in mathematics, the Euler-Mascheroni constant. It intuitively measures how far off the harmonic series 1 + 1/2 + ... + 1/n is from ln(n). In this video, I show that the constant must exist. It is an open problem to figure out if the constant is
From playlist Series
The Constant of Integration is ALWAYS Zero
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Constant of Integration is ALWAYS Zero
From playlist Math Magic
Maximum and Minimum of a set In this video, I define the maximum and minimum of a set, and show that they don't always exist. Enjoy! Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh
From playlist Real Numbers
The Limit Does NOT Exist (Limit Example 4)
Epsilon Definition of a Limit In this video, I illustrate the epsilon-N definition of a limit by showing that the limit of (-1)^n as n goes to infinity does NOT exist. The method I present is more generally useful to show that a limit does not exist. Other examples of limits can be seen
From playlist Sequences
Epsilon Delta Continuity (Example 6): 1/x
In this video, I use the epsilon-delta definition of continuity to show that f(x) = 1/x is continuous. This is a must-see for every calculus lover, enjoy! Continuity Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmB86yhDeAUZPY0dktFtb8Tj Subscribe to my channel: https://youtube
From playlist Limits and Continuity
Here I show that the ratio of two continuous functions is continuous. I do it both by using epsilon-delta and the sequence definition of continuity. Interestingly, the proof is similar to the proof of the quotient rule for derivatives. Enjoy! Reciprocals of limits: https://youtu.be/eRs84C
From playlist Limits and Continuity
In this video, I show a really neat result, namely that the maximum of two continuous functions is continuous. Enjoy the epsilon-delta extravaganza! Continuity Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmB86yhDeAUZPY0dktFtb8Tj Subscribe to my channel: https://youtube.com/d
From playlist Limits and Continuity
Derivative of a constant f(x) = -324
Derivative of a constant f(x) = -324
From playlist Random calculus problems:)
Michio Kaku Explains String Theory | Big Think
Michio Kaku Explains String Theory New videos DAILY: https://bigth.ink Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge ---------------------------------------------------------------------------------- The co-founder of Field String Theor
From playlist The universe explained | Big Think
Michio Kaku: The Universe Is a Symphony of Vibrating Strings | Big Think
Michio Kaku: The Universe Is a Symphony of Vibrating Strings New videos DAILY: https://bigth.ink Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge ---------------------------------------------------------------------------------- The co-fou
From playlist The universe explained | Big Think
The Constant Rule For Derivatives
This calculus video tutorial provides a basic introduction into the constant rule for derivatives. It contains plenty of examples and practice problems. Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to
From playlist New Calculus Video Playlist
Michio Kaku: The Dark Side of Technology | Big Think
What is the most dangerous technology? New videos DAILY: https://bigth.ink Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge ---------------------------------------------------------------------------------- Michio Kaku explores the dark si
From playlist Inventing the Future | Big Think
Michio Kaku: The Holy Grail of Planetary Astronomy | Big Think
The Holy Grail of Planetary Astronomy New videos DAILY: https://bigth.ink Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge ---------------------------------------------------------------------------------- The co-founder of Field String Th
From playlist Earth and Beyond | Big Think
Michio Kaku forecasts the future of space travel
New videos DAILY: https://bigth.ink Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge ---------------------------------------------------------------------------------- The co-founder of Field String Theory explains why the universe has
From playlist Journey to outer space | Big Think
Michio Kaku: String Theory Is The Only Game In Town | Big Think
Michio Kaku: String Theory Is The Only Game In Town New videos DAILY: https://bigth.ink Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge ---------------------------------------------------------------------------------- The co-founder of
From playlist Earth and Beyond | Big Think
LIGHTS, CAMERA, ACTION! - FILM MONTH ON BRITISH PATHÉ (FEBRUARY 2016): Special Report: On Set. With so many starry clips from the Golden Age of the Silver Screen to choose from, we've had to create more videos this month than usual. So in this extra long, 20 minute "Special Report", we v
From playlist Special Reports | British Pathé
Learn more math and science with brilliant.org, https://brilliant.org/blackpenredpen/ , first 200 people to sign up will get 20% off your subscription, and you can support my channel, too! Thank you! Proving sqrt(2) is irrational by using the Rational Zeros Theorem, https://youtu.be/ao6
From playlist [Math For Fun] Brilliant Problems
Proving Pi Is Irrational - What You Never Learned In School!
Happy Pi Day (3/14)! Everyone knows that pi is an irrational number, but how do you prove it? This video presents one of the shortest proofs that pi is irrational, and the proof requires only high school calculus to understand. Niven's proof http://www.ams.org/journals/bull/1947-53-06/S00
From playlist Pi
Epsilon Definition of a Limit In this video, I illustrate the epsilon-N definition of a limit by doing an example with reciprocals. More precisely, I show that if a nonzero sequence sn goes to s (with s nonzero), then the 1/sn goes to 1/s. From this, we can easily derive the quotient law
From playlist Sequences
Introduction to number theory lecture 1.
This lecture is the first lecture of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 This lecture gives a survey of some of the topics covered later in the course,
From playlist Introduction to number theory (Berkeley Math 115)