Proof of the Sum of Square Numbers

In the first part of this series, we have counted  the number of squares on a chessboard, and we have discovered that it is equal to the sum of the squares of the first 8 positive integers. The numbers 1^2, 2^2, 3^2 and so on are called  square numbers.

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This method can be generalized to compute for the number of squares on larger square boards. If the measure of a board is n \times n, then the number of squares on it is » Read more

Free tools every math blogger should learn

Although the list below is specialized for math bloggers, they can be used by bloggers of any field. I have used all the software below,

  • WordPress. WordPress is a free blogging site. Upgrade is available (for a fee) for larger storage and domain name customization.  I chose WordPress to host Mathematics and Multimedia mainly because of its Latex support. As of this writing, as far as I know, two of its top competitors, Blogspot and Typepad, do not support Latex yet.

  • Blogger/Blogspot. Blogger is also a blogging website that is included in Google Applications.  Once you have a Google Account, you already have a blogspot account, you just need to activate it. I use Blogger to embed GeoGebra applets since JavaScript embedding is not allowed in WordPress.com.
  • Google Docs. Google Docs can be used to store and share documents online. It has its own word processor, spreadsheet, and presentation software. It has currently released a new drawing software.  You can use Google Docs to store your documents and link your blog to it.

» Read more

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