Most Math Lectures Make Me Want To Take A Nap. This One Made Me Rethink Most Of Earth's Problems.
Mathematics gets down to work in these talks, breathing life and logic into everyday problems. Prepare for math puzzlers both solved and unsolvable, and even some still waiting for solutions. Ron Eglash: The fractals at the heart of African designs When Ron Eglash first saw an aerial photo of an African village, he couldn’t rest until he knew — were the fractals in the layout of the village a coincidence, or were the forces of mathematics and culture colliding in unexpected ways?
Cool math trick: Converting between miles and kilometers The Fibonacci sequence is made up of numbers that are the sum of the previous two numbers in the sequence, starting with 0 and 1. It's 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144… 1 is 0+1, 2 is 1+1, 3 is 1+12, 5 is 2+3, and 8 is 3+5. The number after 144 is 233, or 89+144. The Fibonacci number describes the golden spiral, an ideal form much beloved by designerseverywhere. Interestingly, it also neatly matches the relationship between kilometers and miles.
Dot Product Basics Dot Product of Two Vectors The dot product of two vectors A and B is a key operation in using vectors in geometry. Dot Product Basics
Version for printing Today the usual definition of a perfect number is in terms of its divisors, but early definitions were in terms of the 'aliquot parts' of a number. An aliquot part of a number is a proper quotient of the number. So for example the aliquot parts of 10 are 1, 2 and 5. These occur since 1 = 10/10, 2 = 10/5, and 5 = 10/2. Note that 10 is not an aliquot part of 10 since it is not a proper quotient, i.e. a quotient different from the number itself.
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Calculating base 10 logarithms in your head on the fly is a lot easier than you may think. It is simply a matter of memorization and a little estimation... First memorize all the single digit base 10 logs.
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. And, getting comfortable with arithmetic might just motivate you to dive deeper into other things mathematical. This article presents nine ideas that will hopefully get you to look at arithmetic as a game, one in which you can see patterns among numbers and pick then apply the right trick to quickly doing the calculation.
The Fibonacci numbers play a significant role in nature and in art and architecture. We will first use the rectangle to lead us to some interesting applications in these areas. We will construct a set of rectangles using the Fibonacci numbers 1, 1, 2, 3, 5, 8, 13, 21, and 34 which will lead us to a design found in nature.
Foundations of Mathematics
Version for printing Prime numbers and their properties were first studied extensively by the ancient Greek mathematicians. The mathematicians of Pythagoras's school (500 BC to 300 BC) were interested in numbers for their mystical and numerological properties. They understood the idea of primality and were interested in perfect and amicable numbers. A perfect number is one whose proper divisors sum to the number itself. e.g. Prime numbers
Perfect numbers Version for printing Today the usual definition of a perfect number is in terms of its divisors, but early definitions were in terms of the 'aliquot parts' of a number. An aliquot part of a number is a proper quotient of the number. So for example the aliquot parts of 10 are 1, 2 and 5.
Prime Time Do you have hardwood, ceramic tile, travertine tiles, polished concrete or marble in your home? One way to spruce up these area are with the addition of a wool area rug. Sweaters, scarfs and other types of clothing usually come to mind when you think about wool.
Here is a complete listing of all the subjects that are currently available on this site as well as brief descriptions of each. Cheat Sheets & Tables Algebra Cheat Sheet - This is as many common algebra facts, properties, formulas, and functions that I could think of. There is also a page of common algebra errors included.
6174 is known as Kaprekar's constant after the Indian mathematician D. R. Kaprekar. This number is notable for the following property: Take any four-digit number, using at least two different digits. (Leading zeros are allowed.)Arrange the digits in ascending and then in descending order to get two four-digit numbers, adding leading zeros if necessary.Subtract the smaller number from the bigger number.Go back to step 2.
Developing Your Intuition For Math Our initial exposure to an idea shapes our intuition. And our intuition impacts how much we enjoy a subject. What do I mean? Suppose we want to define a “cat”: Caveman definition: A furry animal with claws, teeth, a tail, 4 legs, that purrs when happy and hisses when angry…Evolutionary definition: Mammalian descendants of a certain species (F. catus), sharing certain characteristics…Modern definition: You call those definitions? Cats are animals sharing the following DNA: ACATACATACATACAT…
Learn, apply and excel with Phi, the Golden Ratio This site exists to help you appreciate the incredible beauty and design in the world around you and to excel in whatever you do by applying these same principles of design to your own creative works, following in the thoughts of many great minds before you, from ancient civilizations to the Renaissance to the best of class in all areas of today’s arts and design. Applications of the Golden Ratio GoldenNumber.Net explores the pervasive appearance of Phi, 1.618, the Golden Ratio, in mathematics, geometry, life and the universe and shows you how to apply it, and its applications are limitless: Get started with an overview of the Golden Ratio Select an area of interest from the categories to the right or begin with Phi for NeoPhites or the Golden Ratio Overview article.