Numerical Mathematics. Mathamatics - Online Free. Probability. Dimensions Home. A film for a wide audience!

Nine chapters, two hours of maths, that take you gradually up to the fourth dimension. Mathematical vertigo guaranteed! Background information on every chapter: see "Details". Click on the image on the left to watch the trailer ! (turn your speakers on please). Free download and you can watch the films online! The film can also be ordered as a DVD. This film is being distributed under a Creative Commons license. Now with even more languages for the commentary and subtitles: Commentary in Arabic, English, French, German, Italian, Japanese, Spanish and Russian. Spherical Ring. A spherical ring is a sphere with a cylindrical hole cut so that the centers of the cylinder and sphere coincide, also called a napkin ring.

Let the sphere have radius and the cylinder radius Note that as illustrated above, the hole cut out consists of a cylindrical portion plus two spherical caps. Ring turns into a sphere. Math Gems. Student's t-distribution. In probability and statistics, Student's t-distribution (or simply the t-distribution) is a family of continuous probability distributions that arise when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.

It plays a role in a number of widely used statistical analyses, including the Student's t-test for assessing the statistical significance of the difference between two sample means, the construction of confidence intervals for the difference between two population means, and in linear regression analysis. Math Symbols. From AoPSWiki This article will provide a short list of commonly used LaTeX symbols.

Operators Relations. Math Help. An Engineers Quick References to Mathematics Algebra Help Math SheetThis algebra reference sheet contains the following algebraic operations addition, subtraction, multiplication, and division.

It also contains associative, commutative, and distributive properties. There are example of arithmetic operations as well as properties of exponents, radicals, inequalities, absolute values, complex numbers, logarithms, and polynomials. Maths is flawed because of Zero. Clever student: I know!

Now we just plug in x=0, and we see that zero to the zero is one! Cleverer student: No, you’re wrong! You’re not allowed to divide by zero, which you did in the last step. Which is true since anything times 0 is 0. Cleverest student : Weierstrass functions. Weierstrass functions are famous for being continuous everywhere, but differentiable "nowhere".

Here is an example of one: It is not hard to show that this series converges for all x. In fact, it is absolutely convergent. Education.

Mathematical Background. This web page is a revised and extended version of Appendix A from the book Conceptual Structures by John F.

Sowa. It presents a brief summary of the following topics for students and general readers of that book and related books such as Knowledge Representation and books on logic, linguistics, and computer science. Note: Special symbols in this file that are outside the Latin-1 character set (ISO 8859-1) are represented by a .gif image for each character. The alt tag for each image gives the name of the character. Twitter. Maths 50: 1st Birthday Spectacular!

Maths Software. Bezier curves - a primer. Preface In order to draw things in 2D, we usually rely on lines, which typically get classified into two categories: straight lines, and curves.

The first of these are as easy to draw as they are easy to make a computer draw. Give a computer the first and last point in the line, and BAM! Straight line. No questions asked. An Intuitive Explanation of Fourier Theory. Steven Lehar slehar@cns.bu.edu Fourier theory is pretty complicated mathematically. But there are some beautifully simple holistic concepts behind Fourier theory which are relatively easy to explain intuitively. There are other sites on the web that can give you the mathematical formulation of the Fourier transform. I will present only the basic intuitive insights here, as applied to spatial imagery.

Basic Principles: How space is represented by frequency Higher Harmonics: "Ringing" effects An Analog Analogy: The Optical Fourier Transform Fourier Filtering: Image Processing using Fourier Transforms Basic Principles. A First Course in Linear Algebra (A Free Textbook) Open-Source Textbooks Instead I am concentrating recommendations and examples within the undergraduate mathematics curriculum, so please visit the Open Math Curriculum page.

If you are linking to this site, please use that page for a broad list, or link to linear.pugetsound.edu specifically for the Linear Algebra text. Thanks for your help publicizing open textbooks. This page contains some links to similar open-source textbooks. Algebra Basic For Elementary School kids. Math is Fun - Maths Resources. What's Special About This Number? What's Special About This Number? If you know a distinctive fact about a number not listed here, please e-mail me. primes graphs digits sums of powers bases combinatorics powers/polygonal Fibonacci geometry repdigits algebra perfect/amicable pandigital matrices divisors games/puzzles.

MathPages. Impress your friends with mental Math tricks » Fun Math Blog. See Math tricks on video at the Wild About Math! Mathcasts page. Being able to perform arithmetic quickly and mentally can greatly boost your self-esteem, especially if you don't consider yourself to be very good at Math.

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