# WELCOME!

**I am GAURAV TIWARI, a freelance blogger, web designer and a part time coder. I have an experience of over four years with WordPress, PHP and CSS. I have worked with more than 35 clients and companies all over the world. I empower websites and blogs with my experience and modern web technologies. Besides of WordPress experience, I own graduate degrees in mathematics and physics. That is why I write about these topics too. I am a multi-niche author focused on various blogging areas like WordPress, Education, Windows, Physics and even Mathematics.**

*Do you know?* I am *the first math blogger *from India.

Explore my blog for…

#### Mathematical Sciences

This place is an awesome destination for all students who love *Mathematics, Physics *and other mathematical sciences. I have a great collection of articles on each of these topics.

#### Study Notes

A growing library of e-books and study notes, for those who are waiting to get inspired. My study notes are well written and free to use. This means, you neither need to waste your brain nor your money.

#### Blogging Stuffs

With a work experience of about 4 years, I write here about the blogging stuffs. I mainly deal with WordPress Themes, Plugins and new updates. On the other hand you may find some posts about Joomla, Web Development and Blogger too.

## A Possible Proof of Collatz Conjecture

Plenty of proof attempts were made by various mathematicians. But none of those could flawlessly prove the statement. Mr. Chellappa’s attempt is elementarily based upon the famous Sieve of Eratosthenes. Despite of his experience & confidence, I can not guarantee if this work is perfect. I invite readers to cross check the flawlessness and tell what they think.

read more## 8 big online communities a math major should join

Online communities are the groups of web savvy people who share common interests. One such community is developed with a single idea or interest which binds member people through significant discussions. Mathematics can be said to be a popular interest as hundreds of small communities are spread all over the internet. Some mathematical communities are so big that they serve thousands of discussions daily. If you are a math student, reader or researcher you must join such huge online communities. Beyond helping in sharpening math skills, these communities can also assist you in connecting with other similar minded people. The following eight communities are notable:

read more## New Math Series: Selected Topics in Functional Analysis

This series of study notes is aimed for post-graduate (M.Sc.) students of Indian & international universities. The study of functional analysis can be started after basic topology and set theory courses. In this introductory article we will start with some elementary yet important definitions and notations from topology. Then we’ll be defining Norm & Normed Linear spaces from the notions of linear spaces. An elementary treatise of the completeness of Normed (linear) Spaces will be done afterwards. Using this we shall define complete normed spaces or Banach Spaces. After basic ideas are attained about Normed & Banach spaces, there will be rigorous discussion on their subspaces, quotient spaces. A relevant analysis of properties like joint continuity of addition and vector multiplication, equivalent norms, compactness, boundedness etc. will be done at last.

read more## Effective PHP Scripts to use for your WordPress blog

WordPress plugins are easy to use and work effective. They do what they are meant to. If you know, they are primarily built on PHP, a coding environment on which WordPress is based upon. You can get WP plugins for any modifications you want to do on your site. But there are still a few tweaks which can’t be done effectively by using plugins. Or, if they can be done — plugins will definitely take more load than usual. There are some PHP scripts which run into your WordPress’ site’s front-end and provide wanted results without installing any external plugins. This also strengthens your site’s security and keep bloats away.

read more## WP Rocket gives a performance dose to WordPress blogs

As a professional WordPress blogger, you start afresh. As the time and experience increase, feature demand is increased too. This costs adding new scripts to your site and makes your site heavy… and heavier. After a certain time you realize that you have made your site a garbage bin by unordered input of scripts and plugins. If you are at a fast loading CDN service or host, number of script files won’t bother you. But if you are using a comparatively slow web-host (like GoDaddy!) you surely need a great caching plugin.

read more## Clients I have worked with…

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