Functions and mappings | Number theory | Calculus
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).
Describing Functions (Discrete Math)
This video covered the various ways to describe functions in a discrete math class.
From playlist Functions (Discrete Math)
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
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
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)
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
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
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
Determine if a Relation is a Function
http://mathispower4u.wordpress.com/
From playlist Intro to Functions
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
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
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
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
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
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
MATH1131 Calculus Chapter 6 Q1
Showing that two functions are inverses by calculating their composition.
From playlist Mathematics 1A (Calculus)
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
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
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
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