# Mathematical Contributions of Leonhard Euler

Everyone knows that *e* is called Euler number in honor of Leonhard Euler. But the contribution of this great guy is far beyond that.

Before we head to his contributions though, let me introduce Euler. He was born on April 15, 1707 in Basel, Switzerland. He got married twice. This great mathematician got blind due to cataract. At the age of 76, following the announcement of the discovery of planet Uranus and its orbit, he died because of Brain Hemorrhage.

Contributions:

* Discovered the base of natural logarithm e, an irrational constant equal to 2.7182818…

* Discovered the gamma constant also called the Euler-Mascheroni Constant that is approximately equal to 0.57721. It is still not known if this constant is rational or irrational, algebraic or transcendental.

* First to introduced the concept of functions and used f(x) to denote a function.

* First used the symbol for summation, i for imaginary and for the ratio of circumference to its diameter.

* Advances infinitesimal calculus, he is fond of power series. One of this is power series is his own number.

* Derived his famous equation in which if this equation reduces to . This equation is believed to have proved the existence of God. It is called the Euler’s Identity.

* Discovered the connection between the Riemann Zeta Function and prime numbers.

* He proved the newton’s identity and Fermat’s little theorem.

* He also invented the Totient function which is defined as the number of positive integers less than or equal to the integer that are coprime to .

* Conjectured the law of quadratic reciprocity, the theorem in modular arithmetic that gives conditions on the solvability of quadratic equations modulo prime numbers.

* Discovered the formula relating the number of vertices, edge, and faces of a Convex Polyhedron. That is .

These are just some highlights of his contributions in Mathematics. He also contributed a lot in Astronomy, Mechanics, Philosophy, etc.

You are welcome to add more of his achievements by leaving a comment below.

If you are a Mathematician reading this post, you might already realize how wide his contributions in Mathematics that made our lives easier. Totally opposite if you will share this with your friends thinking that they should have not failed their Mathematics if Euler didn’t invent these stuff. 😀

### Dan

#### Latest posts by Dan (see all)

- 2016 MMC Schedule - November 4, 2015
- 2014 MTAP reviewer for Grade 3 - September 30, 2015
- 2015 MTAP reviewer for 4th year solution part 1 - August 22, 2015

Having that much content do you ever get any issues of copyright infringement? My blog has a lot of completely unique material I’ve written myself or outsourced but it looks like a lot of it is popping it up all over the internet without my authorization. Do you know any ways to help prevent content from being stolen? I’d definitely appreciate it.

Hello Web Admin, I noticed that your On-Page SEO is is missing a few factors, for one you do not use all three H tags in your post, also I notice that you are not using bold or italics properly in your SEO optimization. On-Page SEO means more now than ever since the new Google update: Panda. No longer are backlinks and simply pinging or sending out a RSS feed the key to getting Google PageRank or Alexa Rankings, You now NEED On-Page SEO. So what is good On-Page SEO?First your keyword must appear in the title.Then it must appear in the URL.You have to optimize your keyword and make sure that it has a nice keyword density of 3-5% in your article with relevant LSI (Latent Semantic Indexing). Then you should spread all H1,H2,H3 tags in your article.Your Keyword should appear in your first paragraph and in the last sentence of the page. You should have relevant usage of Bold and italics of your keyword.There should be one internal link to a page on your blog and you should have one image with an alt tag that has your keyword….wait there’s even more Now what if i told you there was a simple WordPress plugin that does all the On-Page SEO, and automatically for you? That’s right AUTOMATICALLY, just watch this 4minute video for more information at. Seo Plugin

I am now not positive the place you’re getting your information, however good topic. I needs to spend some time learning more or understanding more. Thanks for great information I used to be in search of this information for my mission.

Excellent publish from specialist also it will probably be a fantastic know how to me and thanks really much for posting this helpful data with us all.