Meromorphic functions | Functions and mappings | Types of functions | Special functions | Analytic functions

Transcendental function

In mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function. In other words, a transcendental function "transcends" algebra in that it cannot be expressed algebraically. Examples of transcendental functions include the exponential function, the logarithm, and the trigonometric functions. (Wikipedia).

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Transcendental Functions 1 Introduction.mov

Transcendental Functions in Calculus.

From playlist Transcendental Functions

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Transcendental Functions 13 Derivatives of a Function and its Inverse.mov

The first derivative of a function and the inverse of that function.

From playlist Transcendental Functions

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Transcendental Functions 11 Inverse Functions Part 1.mov

Moving on in our study of transcendental functions, we look at the inverse of a function.

From playlist Transcendental Functions

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"Transcendental Number Theory: Recent Results and Open Problem​s" 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

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Anna Miriam Benini: Polynomial versus transcendental dynamics

HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 24, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM

From playlist Dynamical Systems and Ordinary Differential Equations

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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

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Kant's Copernican Turn - Kant's Project (Bernstein - 2007)

J.M. Bernstein discusses Kant's overall project through his famous Copernican Turn. This is from the first lecture of a course on Kant's Third Critique (The Critique of Judgment) as part of the so-called Bernstein Tapes. I thought it provided a good introduction to Kant. Note, the audio ha

From playlist Kant & Hegel's Philosophy (J.M. Bernstein - 2007)

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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

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Transcendental Numbers

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

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11/16/2019, Jonathan Kirby, University of East Anglia

Jonathan Kirby, University of East Anglia Local Definability of Holomorphic Functions Given a collection F of complex or real analytic functions, one can ask what other functions are obtainable from them by finitary algebraic operations. If we just mean polynomial operations we get some

From playlist Fall 2019 Kolchin Seminar in Differential Algebra

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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

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James Waterman: Docile transcendental entire functions

HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 20, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM'

From playlist Dynamical Systems and Ordinary Differential Equations

Related pages

Transcendental number | Inverse function | Differential algebra | Gelfond–Schneider theorem | Rational function | Upper half-plane | Generalized function | Elliptic function | Bessel function | Schanuel's conjecture | Hypertranscendental function | Logarithm | Continuous function | Quadrature (mathematics) | Archimedes | Hyperbolic sector | Mathematical analysis | Algebraic number | Algebraic number field | Entire function | Polynomial | Algebraic differential equation | Dimensional analysis | Special functions | Factorial | Exponential function | Transcendental number theory | Algebra | E (mathematical constant) | List of types of functions | Euler's formula | Generalized hypergeometric function | Gamma function | Mathematics | Function (mathematics) | Base (exponentiation) | Trigonometric tables | Linear interpolation | Algebraic function | List of special functions and eponyms | Cosine | J-invariant | Bijection | Ferdinand von Lindemann | Hyperbolic logarithm | Ptolemy's table of chords | Analytic function | Complex number | Natural logarithm | Square root | Alternating series | Grégoire de Saint-Vincent | Hyperbolic functions | Leonhard Euler | Degree of a field extension | Multiplicative inverse