From playlist Abstract Algebra 2
Definition of a Field In this video, I define the concept of a field, which is basically any set where you can add, subtract, add, and divide things. Then I show some neat properties that have to be true in fields. Enjoy! What is an Ordered Field: https://youtu.be/6mc5E6x7FMQ Check out
From playlist Real Numbers
Field Theory - Algebraically Closed Fields - Lecture 9
In this video we define what an algebraically closed field and assert without proof that they exist. We also explain why if you can find a single root for any polynomial, then you can find them all.
From playlist Field Theory
Field Examples - Infinite Fields (Abstract Algebra)
Fields are a key structure in Abstract Algebra. Today we give lots of examples of infinite fields, including the rational numbers, real numbers, complex numbers and more. We also show you how to extend fields using polynomial equations and convergent sequences. Be sure to subscribe so y
From playlist Abstract Algebra
Fundamentals of Mathematics - Lecture 33: Dedekind's Definition of Infinite Sets are FInite Sets
https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html
From playlist Fundamentals of Mathematics
Field Theory: Definition/ Axioms
This video is about the basics axioms of fields.
From playlist Basics: Field Theory
Physics - E&M: Ch 36.1 The Electric Field Understood (1 of 17) What is an Electric Field?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is an electric field. An electric field exerts a force on a charged place in the field, can be detected by placing a charged in the field and observing the effect on the charge. The stren
From playlist THE "WHAT IS" PLAYLIST
Introduction to number theory lecture 30. Fields in number theory
This lecture is part 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 We extend some of the results we proved about the integers mod p to more general fields.
From playlist Introduction to number theory (Berkeley Math 115)
Physics 36 Electric Field (6 of 18) Infinite Line Charge
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the electric field of an infinite line charge.
From playlist PHYSICS 22 E&M THE ELECTRIC FIELD
This lecture is part of an online graduate course on Galois theory. We use the theory of splitting fields to classify finite fields: there is one of each prime power order (up to isomorphism). We give a few examples of small order, and point out that there seems to be no good choice for
From playlist Galois theory
Finite Fields & Return of The Parker Square - Numberphile
Matt Parker introducing Finite Fields and re-visits the infamous Parker Square... Extra footage & become a millionaire by winning The Parker Prize: https://youtu.be/hn8SwBhhDvU More links & stuff in full description below ↓↓↓ The Original Parker Square video: https://youtu.be/aOT_bG-vWyg
From playlist Matt Parker (standupmaths) on Numberphile
Model Theory of Fields with Virtually Free Group Action - Ö. Beyarslan - Workshop 3 - CEB T1 2018
Özlem Beyarslan (Boğaziçi University) / 29.03.2018 Model Theory of Fields with Virtually Free Group Action This is joint work with Piotr Kowalski. A G-field is a field, together with an acion of a group G by field automorphisms. If an axiomatization for the class of existentially closed
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
NIP Henselian fields - F. Jahnke - Workshop 2 - CEB T1 2018
Franziska Jahnke (Münster) / 05.03.2018 NIP henselian fields We investigate the question which henselian valued fields are NIP. In equicharacteristic 0, this is well understood due to the work of Delon: an henselian valued field of equicharacteristic 0 is NIP (as a valued field) if and on
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
CTNT 2020 - Infinite Galois Theory (by Keith Conrad) - Lecture 3
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Infinite Galois Theory (by Keith Conrad)
Commutative algebra 32 Zariski's lemma
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We state and prove Zariski's lemma: Any field that is a finitely generated algebra over a field is a finitely generated modu
From playlist Commutative algebra
Galois theory: Primitive elements
This lecture is part of an online graduate course on Galois theory. We show that any finite separable extension of fields has a primitive element (or generator) and given n example of a finite non-separable extension with no primitive elements.
From playlist Galois theory
Elliptic Curves - Lecture 21 - The weak Mordell-Weil theorem (the Kummer pairing)
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
This video is about extensions of fields.
From playlist Basics: Field Theory
On the notion of genus for division algebras and algebraic groups - Andrei Rapinchu
Joint IAS/Princeton University Number Theory Seminar Topic: On the notion of genus for division algebras and algebraic groups Speaker: Andrei Rapinchu Affiliation: University of Virginia Date: November 2, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics