e

e is a mathematical constant. A mathematical constant is any well-defined real number that is significantly interesting in some way. e has a value of about 2.718. e is an irrational number. It is named after Leonhard Euler and can also be called Euler's number because Euler proved e is an irrational number.
You can calculate e with this formula: 1 + 1/1! +1/2! +1/3! +1/4! +1/5! + 1/6! + 1/7! and so on so forth. if calculated out, the first few terms are 1 + 1 + 1/2 + 1/6 + 1/24 + 1/120 = 2.718055556. 
e is found in many interesting areas. To memorize e, remember this sentence:
to express e remember to memorize a sentence to simplify this.
(count the letters).
The value of e is used to find a nonlinear increase or decrease. e occurs naturally with some frequency so it is the base of natural logarithms.

 &  

next time: logarithms

Back to Napier!

By the way, Annis and I are collaborating! :D
You probably figured out this post is about John Napier, but he's a good mathematician. Today, you'll learn about his invention of logarithms!! A logarithm is a quantity representing the power in which a base must be raised to in order to produce another number. The formula is log b( x). Well, it doesn't look like that because the b is below log and x. Anyways, the b is base and the x is the number to be produced. For example, log 3 (9) is 2 because 3 to the power of 2 or 3 squared is 9! Get it??

Well, there is also what is called common logs. Common logs are regular logarithms just by 10s. So, the equation for common logs is log x. So, log 100 is 2 because 10 squared is 100.  Now, you might just be thinking, why the heck do I need logarithms because they seem ridiculous.When they were invented, they were used to calculate big and long numbers because they didn't have calculators, which is really funny because Napier helped invent the calculator. Now, they are used to calculate pH scales, the Richter scale, and astronomers use logarithms too. Engineers use logarithms.
Logarithms are everywhere!
You might be thinking at this point, logarithms seem to be similar to exponents. Well, not exactly. Exponents of a number says how many times that number is multiplying itself. Logarithms are the opposite. It asks the question, what exponent produced this number?

 &

P.S: I how you enjoy our recent collaborations,because we might just have more!!

Pythagoras

Kazuma has already done a post about the Pythagorean Theorem. Who was behind this equation?
Why, Pythagoras, of course.
Pythagoras is recognized as the first mathematician. It was probably Pythagoras who said that numbers can uncover the secrets of the universe.
Pythagoras is known the best for his Pythagorean Theorem where  .
This formula is used to find the approximate length of the hypotenuse of a right triangle. Note, this only works on right triangles.
Pythagoras paved the paths for all aspiring mathematicians.

Next Time: e

More Euler, Less History!

Ok, well first of all, Euler is awesome.However I couldn't really find history on his really cool formula, so I figured I'd just blog normally. Anyways, I thought I'd blog about Euler's formula. Euler's formula, first of all is V-E+F=2  or V+F-E=2. V for vertices, E for edges and F for faces. Basically, this means the number of vertices and faces of a convex polyhedron(Click here for a definition!) will always be 2 more than the number of edges of the same polyhedron. Try it out! If a convex polyhedron(in this case a cube) has 8 vertices, 6 faces and 12 edges, what does the formula look like? That would be 8+6-12=2. You may find that some numbers don't work, but that's probably because your solid is just not a convex polyhedron. However, V+F-E can also equal 1and/or other values, so Euler's characteristic was made. He's pretty smart, huh? Anyway, the general formula is V+F-E=x.That is where Euler's characteristic comes in. Umm... so this is an ultra short blog, read up and  things I already explained here! Because Math is Fun! ;D See Ya!

Look it's Euler!!