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Most Math Lectures Make Me Want To Take A Nap. This One Made Me Rethink Most Of Earth's Problems. 8 math talks to blow your mind. Mathematics gets down to work in these talks, breathing life and logic into everyday problems.

8 math talks to blow your mind

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? Here, he tells of his travels around the continent in search of an answer.

How big is infinity? There are more whole numbers than there are even numbers … right? Arthur Benjamin does “Mathemagic” A whole team of calculators is no match for Arthur Benjamin, as he does astounding mental math in the blink of an eye. Scott Rickard: The beautiful math behind the ugliest music What makes a piece of music beautiful? 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.

Cool math trick: Converting between miles and kilometers

It's 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144… Dot Product Basics. 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

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.

Perfect numbers

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. Boyfriend And Girlfriend Discussing Math - - Funny Pictures, Epic Fails, Funny Planet, iPhone Autocorrects, Awkward Texts, LOL Photos, TheFunnyPlanet, Hilarious, Animal LOLs, Troll Comics, Gags, Cartoon , Humour, Funny Facts, Movies, Ep.

Web Equation. Nerd Paradise : Calculating Base 10 Logarithms in Your Head. Calculating base 10 logarithms in your head on the fly is a lot easier than you may think.

Nerd Paradise : Calculating Base 10 Logarithms in Your Head

It is simply a matter of memorization and a little estimation... First memorize all the single digit base 10 logs. Don't worry, it's not as painful as it sounds. I even made the chart for you: Remember this rule from high school? And what about this one, you remember it too? Good. Example #1: base 10 log of 400 That's the same thing as log(4*100) which equals log 4 + log 100. log of 4 you know from the table above. Impress your friends with mental Math tricks « Wild About Math! See Math tricks on video at the Wild About Math!

Impress your friends with mental Math tricks « 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 tricks in this article all involve multiplication. Don't be discouraged if the tricks seem difficult at first. As you learn and practice the tricks make sure you check your results by doing multiplication the way you're used to, until the tricks start to become second nature. Stephen Wolfram: Computing a theory of everything. Fibonacci in Nature. The Fibonacci numbers play a significant role in nature and in art and architecture.

Fibonacci in Nature

We will first use the rectangle to lead us to some interesting applications in these areas. Most Popular Math Fun Facts. Foundations of Mathematics. Prime numbers. Version for printing Prime numbers and their properties were first studied extensively by the ancient Greek mathematicians.

Prime numbers

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. Perfect numbers. Version for printing.

Perfect numbers

Prime Time. Pauls Online Math Notes. Math Gems. Mathematical Atlas: A gateway to Mathematics. 6174. 6174 is known as Kaprekar's constant[1][2][3] 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. 9990 – 0999 = 8991 (rather than 999 – 999 = 0) 9831 reaches 6174 after 7 iterations: 8820 – 0288 = 8532 (rather than 882 – 288 = 594)

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… (Illustration courtesy Common Craft) The modern definition is precise, sure. Unfortunately, math understanding seems to follow the DNA pattern. Phi.