History of calculus | Works by Archimedes | Archimedes
The Method of Mechanical Theorems (Greek: Περὶ μηχανικῶν θεωρημάτων πρὸς Ἐρατοσθένη ἔφοδος), also referred to as The Method, is one of the major surviving works of the ancient Greek polymath Archimedes. The Method takes the form of a letter from Archimedes to Eratosthenes, the chief librarian at the Library of Alexandria, and contains the first attested explicit use of indivisibles (sometimes erroneously referred to as infinitesimals). The work was originally thought to be lost, but in 1906 was rediscovered in the celebrated Archimedes Palimpsest. The palimpsest includes Archimedes' account of the "mechanical method", so called because it relies on the center of weights of figures (centroid) and the law of the lever, which were demonstrated by Archimedes in On the Equilibrium of Planes. Archimedes did not admit the method of indivisibles as part of rigorous mathematics, and therefore did not publish his method in the formal treatises that contain the results. In these treatises, he proves the same theorems by exhaustion, finding rigorous upper and lower bounds which both converge to the answer required. Nevertheless, the mechanical method was what he used to discover the relations for which he later gave rigorous proofs. (Wikipedia).
Simple Machines (3 of 7) Pulleys; Calculating Forces, Distances, MA, Part 2
For the pulley simple machine shows how to calculate the input force, input distance and the mechanical advantage. A simple machine is a mechanical device that changes the direction and the magnitude of a force. In general, they can be defined as the simplest mechanisms that use mechani
From playlist Mechanics
Newton's Method | Lecture 14 | Numerical Methods for Engineers
Derivation of Newton's method for root finding. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmat
From playlist Numerical Methods for Engineers
Simple Machines (2 of 7) Pulleys; Calculating Distances, Forces, MA, Part 1
For the pulley simple machine shows how to calculate the input and output distances, the input and output forces and mechanical advantage. A simple machine is a mechanical device that changes the direction and the magnitude of a force. In general, they can be defined as the simplest mech
From playlist Mechanics
Simple Machines (1 of 7) Pulleys; Defining Forces, Distances and MA
For the pulley simple machine this video defines the terms input and output force, input and output distance and mechanical advantage. A simple machine is a mechanical device that changes the direction and the magnitude of a force. In general, they can be defined as the simplest mechanis
From playlist Mechanics
Convergence of Newton's Method | Lecture 17 | Numerical Methods for Engineers
Calculation of the order of convergence of Newton's method. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?s
From playlist Numerical Methods for Engineers
[Calculus] Newton's Method || Lecture 36
Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any que
From playlist Calculus 1
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How To Use Newton's Method from Calculus. An easy example using the formula.
From playlist Calculus
Simple Machines (4 of 7) Pulleys; Calculating the Amount of Work Done
For the pulley simple machine shows how to calculate the amount of work done when raising an object and why simple machines do not make your work easier! A simple machine is a mechanical device that changes the direction and the magnitude of a force. In general, they can be defined as th
From playlist Mechanics
Physical Science 4.2e - Mechanical Advantage
Continuation of the discussion of levers, in which the term Mechanical Advantage is introduced, and in which the trade off between force and distance is discussed.
From playlist Physical Science Chapter 4
The Saddle Point Accountant for Differential Privacy
A Google TechTalk, presented by Shahab Asoodeh, 2022/10/19 Differential Privacy for ML seminar series.
From playlist Differential Privacy for ML
Symmetry, invariance and the structure of matter – Richard James – ICM2018
Mathematics in Science and Technology Invited Lecture 17.12 Symmetry, invariance and the structure of matter Richard James Abstract: We present a mathematical view of the structure of matter based on the invariance of the classical equations of physics. © International Congress of Mat
From playlist Mathematics in Science and Technology
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From playlist Kurt Gödel Centenary
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From playlist Differential Privacy Symposium - November 12, 2016
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How to Come Up with the Semi-Implicit Euler Method Using Hamiltonian Mechanics #some2 #PaCE1
Notes for this video: https://josephmellor.xyz/downloads/symplectic-integrator-work.pdf When you first learn about Hamiltonian Mechanics, it seems like Lagrangian Mechanics with more work for less gain. The only reason we even learn Hamiltonian Mechanics in undergrad is that the Hamiltoni
From playlist Summer of Math Exposition 2 videos
Perspectives in Math and Art by Supurna Sinha
KAAPI WITH KURIOSITY PERSPECTIVES IN MATH AND ART SPEAKER: Supurna Sinha (Raman Research Institute, Bengaluru) WHEN: 4:00 pm to 5:30 pm Sunday, 24 April 2022 WHERE: Jawaharlal Nehru Planetarium, Bengaluru Abstract: The European renaissance saw the merging of mathematics and art in th
From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)
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