Field (mathematics)

Glossary of field theory

Field theory is the branch of mathematics in which fields are studied. This is a glossary of some terms of the subject. (See field theory (physics) for the unrelated field theories in physics.) (Wikipedia).

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Field Theory: Definition/ Axioms

This video is about the basics axioms of fields.

From playlist Basics: Field Theory

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Quantum field theory, Lecture 2

This winter semester (2016-2017) I am giving a course on quantum field theory. This course is intended for theorists with familiarity with advanced quantum mechanics and statistical physics. The main objective is introduce the building blocks of quantum electrodynamics. Here in Lecture 2

From playlist Quantum Field Theory

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Field Theory -- Qbar, the field of algebraic numbers -- Lecture 8

In this video we show that QQbar, the algebraic closure of the rational numbers is countable.

From playlist Field Theory

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Fields - Field Theory - Lecture 00

This is the first in a series of videos for my abstract algebra class during the 2020 shutdown. This lecture is intended to rapidly catch students up who are going to follow online and aren't from UVM. We are using Dummit and Foote.

From playlist Field Theory

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Field Definition (expanded) - Abstract Algebra

The field is one of the key objects you will learn about in abstract algebra. Fields generalize the real numbers and complex numbers. They are sets with two operations that come with all the features you could wish for: commutativity, inverses, identities, associativity, and more. They

From playlist Abstract Algebra

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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

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Representations of finite groups of Lie type (Lecture 1) by Dipendra Prasad

PROGRAM : GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fun

From playlist Group Algebras, Representations And Computation

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What is a Quantum Field?

Physicists Edward Finn and Rodney Brooks take on the task of describing quantum field theory to laypersons without using any math. They describe the six basic quantum fields, and show how the field picture, and only the field picture, enables a true understanding of physics. Read more at

From playlist Quantum Field Theory

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Bad Math Glossary, or Soviet Propaganda?

A review of "The Algebra Tutor, Algebra 1 and Algebra 2, Volume 1". A textbook/workbook by Willie L. Thomas. It has a great propaganda-esque cover design, and a very finicky glossary to put it nicely. #mathbook #math 00:00 Rest of the Review 19:33 The Bad Glossary 23:00 End Buy a copy o

From playlist The Math Library

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Dark Matter - II (Lecture 1) by Neal Weiner

PROGRAM LESS TRAVELLED PATH OF DARK MATTER: AXIONS AND PRIMORDIAL BLACK HOLES (ONLINE) ORGANIZERS: Subinoy Das (IIA, Bangalore), Koushik Dutta (IISER, Kolkata / SINP, Kolkata), Raghavan Rangarajan (Ahmedabad University) and Vikram Rentala (IIT Bombay) DATE: 09 November 2020 to 13 Novemb

From playlist Less Travelled Path of Dark Matter: Axions and Primordial Black Holes (Online)

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Quantum field theory, Lecture 1

*UPDATE* Lecture notes available! https://github.com/avstjohn/qft Many thanks to Dr. Alexander St. John! This winter semester (2016-2017) I am giving a course on quantum field theory. This course is intended for theorists with familiarity with advanced quantum mechanics and statistical p

From playlist Quantum Field Theory

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Number theory Full Course [A to Z]

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio

From playlist Number Theory

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What is Evolution?

Support Stated Clearly on Patreon: https://www.patreon.com/statedclearly Evolution is often considered a complex and controversial topic but it's actually a very simple concept to understand. Watch this short animation to see how evolution works. Share it with your friends on Facebook who

From playlist Genetics and Evolution

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The Study of Pre-modern Hebrew Philosophical and Scientific Terminology as a new Chapte... - Various

Near Eastern Studies and Digital Scholarship@IAS joint lecture Topic: The Study of Pre-modern Hebrew Philosophical and Scientific Terminology as a new Chapter in the Intellectual History of Europe and the Islamicate World: PESHAT in Context. Speakers (Affiliation): Giuseppe Veltri (Unive

From playlist Historical Studies

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My favorite LaTeX packages for writing beautiful math documents

Get started with LaTeX using Overleaf: ►https://www.overleaf.com?utm_source=yt&utm_medium=link&utm_campaign=im22tb Overleaf is an excellent cloud-based LaTeX editor that makes learning and using LaTeX just so much easier. My thanks to Overleaf for sponsoring this video! ►Check out my LaT

From playlist LaTeX Tutorials

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Wolfram Physics Project: One Month Update

This is a Wolfram Physics Project one-month update. Begins at 2:37 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 post: http://wolfr.am/physics-announcement Find the

From playlist Wolfram Physics Project Livestream Archive

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VilCretas Package

For the latest information, please visit: http://www.wolfram.com Speaker: Enrique Vilchez Quesada Educational Resource through the Use of Mathematica Software in the Field of Discrete Mathematics Wolfram developers and colleagues discussed the latest in innovative technologies for cloud

From playlist Wolfram Technology Conference 2016

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O'Reilly Webcast: Cyborg Anthropology: A Short Introduction

Cyborg Anthropology is a way of understanding how we live as technosocially connected citizens in the modern era. Our cell phones, cars and laptops have turned us into cyborgs. What does it mean to extend the body into hyperspace? What are the implications to privacy, information and the f

From playlist O'Reilly Webcasts

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Field Theory: Polynomials

This video is about polynomials with coefficients in a field.

From playlist Basics: Field Theory

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Building Beautiful Systems with Phoenix Contexts and DDD

Phoenix contexts are a powerful code organization tool - but without a clear idea of what business domains live under the hood of your systems, naively creating contexts leads to over-engineered, fragile systems. Today, we’ll learn about the philosophical roots of Bounded Contexts from the

From playlist Functional Programming

Related pages

Algebraic extension | Real closed field | Thin set (Serre) | Differential equation | Dimension of an algebraic variety | Algebraically closed field | Lie group | Tensor product of fields | Vector space | Algebraic closure | Finite field | Local field | Linked field | Radical extension | Primary extension | Artin–Schreier theory | Pseudo algebraically closed field | Transcendence degree | Kummer theory | Hilbert's irreducibility theorem | Algebraic number | Root of unity | Total order | Rational number | Separable polynomial | Perfect field | Polynomial ring | Regular extension | Cyclotomic field | Linearly disjoint | Formally real field | Separable extension | Splitting field | Normal extension | Field extension | Projective line | Dimension (vector space) | Complete field | Differential Galois theory | Field theory (mathematics) | Characteristic (algebra) | Mathematics | Function (mathematics) | Field (mathematics) | Global field | Integer | Primitive element theorem | Real number | Algebraic geometry | Biquaternion algebra | Algebraic number theory | Category theory | Simple extension | Rational point | Subset | Absolute Galois group | Galois group | Fundamental group | Prime number | Automorphism group | Complex number | Grothendieck's Galois theory | Quadratic field | CM-field | Galois extension | Division algebra | Ordered field | Profinite group | Normal basis | Abelian group | Degree of a field extension | Commutative ring