Euclid's elements: definitions, postulates, and axioms
This is a beginners introduction to Euclid's elements. Support my channel with this special custom merch! https://www.etsy.com/listing/1037552189/wooden-large-platonic-solids-geometry Learn step-by-step here: http://pythagoreanmath.com/euclids-elements/ visit my site: http://www.pythago
From playlist Euclid's Elements Book 1
Euclid's algorithm and Bezout's identity
In this video we do some examples of Euclid's algorithm and we reverse Euclid's algorithm to find a solution of Bezout's identity. At the end of the video we prove a fundamental consequence of Bezout's identity, namely Euclid's lemma which will be a fundamental ingredient in the proof of t
From playlist Number Theory and Geometry
Euclid's Elements | Arithmetic and Geometry Math Foundations 19 | N J Wildberger
Euclid's book `The Elements' is the most famous and important mathematics book of all time. To begin to lay the foundations of geometry properly, we first have to make contact with Euclid's thinking. Here we look at the basic set-up of Definitions, Axioms and Postulates, and some of the hi
From playlist Math Foundations
Euclid rationalizing Lie groups: SO(2, ℚ) ⊂ U(1)
Lie Theory Reading Group: https://discord.gg/MNtv4mFTkJ In this video we're discussing Euclid's theorem about Pythagorean triples from a Lie group sort of angle. The text with all the links shown is found under https://gist.github.com/Nikolaj-K/015b23249d5aa92741f3e78f48fd6464 Two minor t
From playlist Algebra
Linear Algebra 21g: Euler Angles and a Short Tribute to Leonhard Euler
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 3 Linear Algebra: Linear Transformations
This video given Euler's identity, reviews how to derive Euler's formula using known power series, and then verifies Euler's identity with Euler's formula http://mathispower4u.com
From playlist Mathematics General Interest
Number Theory - Euclid's Division Lemma
From playlist ℕumber Theory
Euler's formulas, Rodrigues' formula
In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5
From playlist Algebra
Wolfram Physics Project: Working Session Aug 18, 2020 [Physicalization of Empirical Metamathematics]
This is a Wolfram Physics Project working session on empirical metamathematics and its physicalization. Begins at 3:00 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement
From playlist Wolfram Physics Project Livestream Archive
C39 A Cauchy Euler equation that is nonhomogeneous
A look at what to do with a Cauchy Euler equation that is non-homogeneous.
From playlist Differential Equations
Wolfram Physics Project: Working Session Sept. 15, 2020 [Physicalization of Metamathematics]
This is a Wolfram Physics Project working session on metamathematics and its physicalization in the Wolfram Model. Begins at 10:15 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the
From playlist Wolfram Physics Project Livestream Archive
This seminar covers the Propositions 23, 24 of Euclid's Elements, presented by Kenneth Chan and Daniel Murfet. You can join this seminar from anywhere, on any device, at https://www.metauni.org. This video was recorded in The Rising Sea (https://www.roblox.com/games/8165217582/The-Rising
From playlist Euclid
[ANT01] Algebraic number theory: an introduction, via Fermat's last theorem
The existence of the Euclidean algorithm is what makes multiplication in Z so nice. But some other rings have Euclidean algorithms too. Here's how we can exploit this for profit.
From playlist [ANT] An unorthodox introduction to algebraic number theory
From playlist L. Number Theory
A theorem about isosceles -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Every Subgroup of a Cyclic Group is Cyclic | Abstract Algebra
We prove that all subgroups of cyclic groups are themselves cyclic. We will need Euclid's division algorithm/Euclid's division lemma for this proof. We take an arbitrary subgroup H from our Cyclic group G, then we take an arbitrary element a^t from H. Certainly, all powers of a^t are in H,
From playlist Abstract Algebra
Wolfram Physics Project: Working Session Tuesday, Aug. 4, 2020 [Empirical Physical Metamathematics]
This is a Wolfram Physics Project working session on empirical physical metamathematics. Stephen discusses this in A New Kind of Science: https://www.wolframscience.com/nks/notes-12-9--empirical-metamathematics/ Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-dat
From playlist Wolfram Physics Project Livestream Archive
Euclid and proportions | Arithmetic and Geometry Math Foundations 20 | N J Wildberger
The ancient Greeks considered magnitudes independently of numbers, and they needed a way to compare proportions between magnitudes. Eudoxus developed such a theory, and it is the content of Book V of Euclid's Elements. This video describes this important idea. This lecture is part of the
From playlist Math Foundations