Transcendental number theory is a branch of number theory that investigates transcendental numbers (numbers that are not solutions of any polynomial equation with rational coefficients), in both qualitative and quantitative ways. (Wikipedia).
Transcendental numbers powered by Cantor's infinities
In today's video the Mathologer sets out to give an introduction to the notoriously hard topic of transcendental numbers that is both in depth and accessible to anybody with a bit of common sense. Find out how Georg Cantor's infinities can be used in a very simple and off the beaten track
From playlist Recent videos
Transcendental Functions 19 The Function a to the power x.mp4
The function a to the power x.
From playlist Transcendental Functions
Transcendental Functions 16 Proof of the Properties of Logarithms Part 1.mov
Proof of some of the properties of logarithms.
From playlist Transcendental Functions
Transcendental Functions 21 The Derivative of e to the power x.mp4
The derivative of e to the power x.
From playlist Transcendental Functions
In this chapter I look at the limits of transcendental functions. It includes an explanation of the squeeze or sandwich theorem.
From playlist Life Science Math: Limits in calculus
"Transcendental Number Theory: Recent Results and Open Problems" by Prof. Michel Waldschmidt
This lecture will be devoted to a survey of transcendental number theory, including some history, the state of the art and some of the main conjectures.
From playlist Number Theory Research Unit at CAMS - AUB
Galois theory: Field extensions
This lecture is part of an online course on Galois theory. We review some basic results about field extensions and algebraic numbers. We define the degree of a field extension and show that a number is algebraic over a field if and only if it is contained in a finite extension. We use thi
From playlist Galois theory
Transcendental Functions 9 Proof of the First Derivative of e to the x.mov
Proof of the first derivative of the function e to the power x.
From playlist Transcendental Functions
Galois theory: Transcendental extensions
This lecture is part of an online graduate course on Galois theory. We describe transcendental extension of fields and transcendence bases. As applications we classify algebraically closed fields and show hw to define the dimension of an algebraic variety.
From playlist Galois theory
Yuri Manin - Numbers as functions
Numbers as functions
From playlist 28ème Journées Arithmétiques 2013
FIT2.3.2. Cardinality and Transcendentals
Field Theory: We show that the set of algebraic numbers is countable and that any extension of a countable field F by a transcendental is countable. We then give an overview of known results on transcendental numbers.
From playlist Abstract Algebra
Transcendental Functions 1 Introduction.mov
Transcendental Functions in Calculus.
From playlist Transcendental Functions
Jacob Tsimerman, Unlikely intersections and the André-Oort conjecture
VaNTAGe Seminar, December 7, 2021 License: CC-BY-NC-SA
From playlist Complex multiplication and reduction of curves and abelian varieties
Adventures in Perturbation Theory by Jake Bourjaily
PROGRAM RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online
From playlist Recent Developments in S-matrix Theory (Online)
Daniel Huybrechts: Algebraic and arithmetic aspects of twistor spaces
I will recall the well-known notion of twistor spaces for K3 surfaces (and Hyperkähler manifolds) and discuss some natural questions relating to the algebraic and arithmetic geometry of their fibres. Recording during the meeting "The Geometry of Algebraic Varieties" the October 02, 2019 a
From playlist Algebraic and Complex Geometry
Transcendental Numbers In this video, I define the concepts of algebraic and transcendental numbers, which have to do with roots of polynomials. In particular, I show that the number ((2^1/2 - 3)/5)^1/3, even though complicated-looking, is algebraic. Enjoy! Check out my Real Numbers Play
From playlist Real Numbers
Transcendental Functions 14 Derivative of Natural Log of x Example 3.mov
More examples to work through.
From playlist Transcendental Functions
Sebastian Eterović, UC Berkeley
April 12, Sebastian Eterović, UC Berkeley Existential Closedness and Differential Algebra
From playlist Spring 2022 Online Kolchin seminar in Differential Algebra
Transcendental Functions 19 The Function exp e.mp4
Euler's number to the power x.
From playlist Transcendental Functions