Functions and mappings | Number theory | Calculus

List of mathematical functions

In mathematics, some functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions in more detail. There is a large theory of special functions which developed out of statistics and mathematical physics. A modern, abstract point of view contrasts large function spaces, which are infinite-dimensional and within which most functions are 'anonymous', with special functions picked out by properties such as symmetry, or relationship to harmonic analysis and group representations. See also List of types of functions (Wikipedia).

Video thumbnail

Describing Functions (Discrete Math)

This video covered the various ways to describe functions in a discrete math class.

From playlist Functions (Discrete Math)

Video thumbnail

What is a function?

This video explains what a mathematical function is and how it defines a relationship between two sets, the domain and the range. It also introduces three important categories of function: injective, surjective and bijective.

From playlist Foundational Math

Video thumbnail

Pre-Calculus - Vocabulary of functions

This video describes some of the vocabulary used with functions. Specifically it covers what a function is as well as the basic idea behind its domain and range. For more videos visit http://www.mysecretmathtutor.com

From playlist Pre-Calculus - Functions

Video thumbnail

Formal Definition of a Function using the Cartesian Product

Learning Objectives: In this video we give a formal definition of a function, one of the most foundation concepts in mathematics. We build this definition out of set theory. **************************************************** YOUR TURN! Learning math requires more than just watching vid

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

Video thumbnail

What is a Function in Math and Physics? (A more intuitive explanation of Function Definition)

0:00 Introduction 3:35 Examples of functions and why we care 14:55 Make own function 19:12 Definition of a function 21:48 Outro

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

Reconsidering `functions' in modern mathematics | Arithmetic and Geometry Math Foundations 43

The general notion of `function' does not work in mathematics, just as the general notions of `number' or `sequence' don't work. This video explains the distinction between `closed' and `open' systems, and suggests that mathematical definitions should respect the open aspect of mathemat

From playlist Math Foundations

Video thumbnail

Theory of numbers: Multiplicative functions

This lecture is part of an online undergraduate course on the theory of numbers. Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.

From playlist Theory of numbers

Video thumbnail

Determine if a Relation is a Function

http://mathispower4u.wordpress.com/

From playlist Intro to Functions

Video thumbnail

Mathematica Experts Live: Integration with R using RLink

Yu-Sung Chang gives an overview of Mathematica's built-in integration with R using RLink as part of Mathematica Experts Live: New in Mathematica 9. For more information about Mathematica, please visit: http://www.wolfram.com/mathematica

From playlist Mathematica Experts Live: New in Mathematica 9

Video thumbnail

A Mathematical Definition of an Algorithm | The Art Of Computer Programming Visualised #SoME1

A visual explanation of the mathematical definition of an algorithm inspired by the book series "The Art of Computer Programming" by Donald Knuth. Timestamps: 0:00 0. Motivation 1:05 1. High-level Overview 3:23 2. Implementation 6:11 3.1 States 7:46 3.2 State Transitions 9:36 4. A Side No

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

Is pure mathematics logically viable? Five Challenges! | Sociology and Pure Maths | N J Wildberger

Some tough talk directed towards the professoriat and students of the subject: is it time to re-evaluate what exactly is going on in Pure Mathematics? This is part of a series on the Sociology of Pure Mathematics, where we try to delve into and unravel some of the mysteries of the profess

From playlist Sociology and Pure Mathematics

Video thumbnail

The Essence of Functional Programming

This talk dives into the origins of functional programming, going all the way back to where the term was first introduced, to see how it evolved over time into our modern understanding of what FP essentially involves. PUBLICATION PERMISSIONS: Original video was published with the Creative

From playlist Functional Programming

Video thumbnail

Mathematica Experts Live: Data Manipulation and Visualization

A panel of Mathematica experts share a number of examples showcasing new capabilities of Mathematica 9 for data manipulation and visualization, including image and signal processing, interactive gauges, legends for plots and charts, and integration with R. For more information about Math

From playlist Mathematica Experts Live: New in Mathematica 9

Video thumbnail

Functions, Curves and Signed Areas with GeoGebra | Algebraic Calculus One | Anna Tomskova

Dr Anna Tomskova explains how to use GeoGebra to graph functions and curves, and to find both areas under curve segments and signed areas of curve segments. This video is part of the Algebraic Calculus One course, which is laying out a new foundation for calculus--without limits, real numb

From playlist Algebraic Calculus One

Video thumbnail

MATH1131 Calculus Chapter 6 Q1

Showing that two functions are inverses by calculating their composition.

From playlist Mathematics 1A (Calculus)

Video thumbnail

B. Riemann and the complex sphere | Sociology and Pure Mathematics | N J Wildberger

Bernhard Riemann was a major pioneer in several important areas of mathematics, and in particular he helped develop a theory of higher dimensional spaces and how to view them metrically, made important advances in complex analysis and what became known as Riemann surfaces, and of course he

From playlist Sociology and Pure Mathematics

Video thumbnail

Effective Use of the Mathematica Compiler and Code Generation

Even if you have never used the Mathematica function Compile directly, it has probably been used under the hood for a variety of things you have done. This talk from the Wolfram Technology Conference 2011 shows you how to effectively use the Mathematica compiler and code generation. For

From playlist Wolfram Technology Conference 2011

Video thumbnail

RLink: Linking Mathematica and R

Mathematica offers built-in ways to integrate R code into your Mathematica workflow. In this talk from the Wolfram Technology Conference, Leonid Shifrin explains how users can use R Link to access thousands of functions from across the full Mathematica system. For more information about M

From playlist Wolfram Technology Conference 2012

Video thumbnail

Intro to Functions

As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.

From playlist Basics: College Algebra

Related pages

Hacovercosine | Differential equation | Group representation | Rational function | Summation | Legendre chi function | Indicator function | Prime-counting function | Step function | Exponential integral | Covercosine | Painlevé transcendents | Excosecant | Euler's totient function | Modular form | Sextic equation | Chebyshev polynomials | Transcendental function | Periodic function | Spence's function | Square wave | Student's t-distribution | Hermite polynomials | Nome (mathematics) | Spherical harmonics | Dirichlet function | Arithmetic–geometric mean | Gamma function | Binomial coefficient | Kelvin functions | Incomplete gamma function | Tangent (trigonometry) | Logarithmic integral function | Nth root | Quartic function | Lemniscate elliptic functions | Prime number | Dirichlet L-function | Parabolic cylinder function | Barnes G-function | Dawson function | Lamé function | Heaviside step function | Common logarithm | Divisor function | Carlson symmetric form | Scorer's function | Confluent hypergeometric function | Exponentiation | Triangle wave | Elliptic function | Fresnel integral | Partition function (number theory) | Dirichlet eta function | Symmetry | Havercosine | Hypergeometric function | Exponential function | Legendre form | List of types of functions | Polygamma function | Natural number | Kummer's function | Liouville function | Sinc function | Normal distribution | J-invariant | Weierstrass function | Square root | Geometry | Thomae's function | Incomplete polylogarithm | Meijer G-function | Sawtooth wave | Multivariate gamma function | Ackermann function | Ellipse | Bessel function | Statistics | Logarithm | Mathieu function | Tetration | Probability | Modular lambda function | Polynomial | Super-logarithm | List of mathematical abbreviations | Secant (trigonometry) | Special functions | Computable function | Digamma function | Factorial | Gudermannian function | Arithmetic function | Polylogarithm | Iterated logarithm | Mathematics | Prime omega function | Quadratic function | Theory of computation | Pentation | Constant function | Beta function | Dedekind eta function | Coversine | Chebyshev function | Cosecant | Prime number theorem | Laguerre polynomials | Carmichael function | Binary logarithm | Fox H-function | Bessel–Clifford function | Mittag-Leffler function | Harmonic analysis | Ceiling function | Quarter period | Neville theta functions | Hacoversine | Riemann zeta function | Elliptic integral | Primitive recursive function | Absolute value | Synchrotron function | Linear function | Dirichlet beta function | Continuous function | Differentiable function | Haversine | Hurwitz zeta function | Rectangular function | Lambert W function | Faddeeva function | Von Mangoldt function | Exsecant | Clausen function | Riemann Xi function | Parabola | Cube root | Cotangent | Vercosine | Error function | Versine | Sign function | Multivariate statistics | Complete Fermi–Dirac integral | Dirac delta function | K-function | Trigonometric integral | Distribution (mathematics) | Algebraic function | Cubic function | Divisor | Function space | Legendre function | Airy function | Möbius function | Power series | Linear combination | Riesz function | Cosine | Natural logarithm | Dirichlet series | Incomplete Fermi–Dirac integral