Jacob Bernoulli (also known as James or Jacques; 6 January 1655 [O.S. 27 December 1654] – 16 August 1705) was one of the many prominent mathematicians in the Bernoulli family. He was an early proponent of Leibnizian calculus and sided with Gottfried Wilhelm Leibniz during the Leibniz–Newton calculus controversy. He is known for his numerous contributions to calculus, and along with his brother Johann, was one of the founders of the calculus of variations. He also discovered the fundamental mathematical constant e. However, his most important contribution was in the field of probability, where he derived the first version of the law of large numbers in his work Ars Conjectandi. (Wikipedia).
B24 Introduction to the Bernoulli Equation
The Bernoulli equation follows from a linear equation in standard form.
From playlist Differential Equations
B25 Example problem solving for a Bernoulli equation
See how to solve a Bernoulli equation.
From playlist Differential Equations
Solve a Bernoulli Differential Equation (Part 2)
This video provides an example of how to solve an Bernoulli Differential Equation. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Solve a Bernoulli Differential Equation (Part 1)
This video provides an example of how to solve an Bernoulli Differential Equation. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Journées Hénon - 15/21 - Alessandro Morbidelli
The famous Hénon and Heiles paper
From playlist Michel Hénon Memoriam
6 AWESOME DEMOS of Bernoulli's law!
In this video i show some simple experiments about Bernoulli' s law "coanda effect" and how airplane fly. Enjoy!
From playlist MECHANICS
The Bernoullis: When Math is the Family Business
If you’ve ever taken a science or math class, you’ve probably seen the name "Bernoulli" -- and maybe you assumed it was one person, but that family had a squad of mathematicians. Hosted by: Hank Green ---------- Support SciShow by becoming a patron on Patreon: https://www.patreon.com/scis
From playlist Uploads
The golden spiral | Lecture 13 | Fibonacci Numbers and the Golden Ratio
How to construct a golden spiral inside a golden rectangle. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1
From playlist Fibonacci Numbers and the Golden Ratio
Bernoulli convolutions for algebraic parameters - Péter Varjú
Special Analysis Seminar: Péter Varjú University of Cambridge May 8, 2015 More videos on http://video.ias.edu
From playlist Mathematics
Faulhaber's Formula and Bernoulli Numbers | Algebraic Calculus One | Wild Egg
This is a lecture in the Algebraic Calculus One course, which will present an exciting new approach to calculus, sticking with rational numbers and high school algebra, and avoiding all "infinite processes", "real numbers" and other modern fantasies. The course will be carefully framed on
From playlist Algebraic Calculus One from Wild Egg
Advice for research mathematicians | Bernoulli numbers and Faulhaber's sums of powers | WIld Egg
The Bernoulli numbers are an intriguing family of rational numbers that arise in many areas of analysis. We introduce them in the context of J. Faulhaber's formulas for sums of powers of natural numbers, which in fact give us another important family of polynomials or polynumbers. These n
From playlist Maxel inverses and orthogonal polynomials (non-Members)
Michelangeli - Debussy - Les collines d'Anacapri
Michelangeli - Debussy
From playlist experimental classical
The Catenary (hanging chain), how it was first solved.
The catenary is the mathematical shape of a hanging chain. Describing this shape is one of the famous original problems of calculus. I discuss the history of the problem, how it was determined that the curve was not a parabola, how to model the curve with a differential equation based on t
From playlist Tricky Parts of Calculus
Calculus 6.08a - L'Hopital and Bernoulli
An Introduction to L'Hopital's Rule.
From playlist Calculus Chapter 6 (selected videos)
MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: John Tsitsiklis License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu
From playlist MIT RES.6-012 Introduction to Probability, Spring 2018
MIT 8.05 Quantum Physics II, Fall 2013 View the complete course: http://ocw.mit.edu/8-05F13 Instructor: Barton Zwiebach In this lecture, the professor talked about properties of energy eigenstates in one dimension, the nature of the spectrum, variational principle, etc. License: Creative
From playlist 8.05 Quantum Physics II - Prof. Barton Zwiebach
Using L'Hopital's Rule to Find the e Limit // Math Minute [#60] [CALCULUS] [ANALYSIS]
It is e to the iπ week over here at @polymathematic HQ. All week long I will be publishing videos getting at an intuition for what on earth it might mean to raise e to an imaginary power, how the π fits into all that, and why we should expect that to equal –1. Subscribe: https://bit.ly/p
From playlist Math Minutes
Journées Hénon - 13/21 - Jacques Laskar
La stabilité du système solaire
From playlist Michel Hénon Memoriam
4.7.1 Law Of Large Numbers: Video
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015