The third day (Tritiya) of the waxing Moon in Vaishakha month - the only day when both Sun and Moon are exalted annually.
Akshaya means that which never ends. All over India people celebrate weddings, plan new business ventures, long journeys and other events on this day and buy gold, silver and other assets. It is a good time to begin what you want to be eternal.
The two legends about this date are both connected with Mahabharata. When Pandavas were in exile, Lord Krishna gave Draupadi a bowl called the Akshaya Pathram. Whatever food Draupadi put in this bowl, it never finished, so she could feed her family despite having few resources.
Ved Vyas, the great Rishi wrote many of the great books including Shrimad Bhaagvat. While writing the Mahabharata, Ved Vyasa realised that his thoughts were flowing faster than he could write. So on this auspicious Akshaya tritiya, He requested Ganesha to help him write. Ganesha put a condition to Ved Vyasa that he ( Ved Vyas) should not to stop his narration. Ved Vyas agreed to this only if Ganesha himself only write the shlokas if he understood them. So the great Rishi and his divine helper both gave us the great epic Mahabharatha.
On Akshaya tritiya, Panchanga need not be consulted as this day is so auspicious that it cancels all negative influences of difficult planets and yogas. Often this is a day chosen for beginning new projects. It is also an excellent day to get married.
Performing Vishnu Pooja and reciting the Vishnu Sahasranama Stotra (1008 names of Vishnu) are considered highly auspicious on this day for prosperity and progress.
It is a good day to begin study or writing as you get many spiritual benefits and special energy that allows you to process higher thoughts quickly.
Dana (donation) given today is said to give manyfold results. you can feed the poor, do service to humanity, give to your favourite charity. Anna dana - feeding the poor is considered the best donation of all.
How to celebrate Akshaya Tritiya
Make a donation to a worthy cause.
Give Annadanam - donate food as a service to humanity.
Begin an important project.
If you have always wanted to write, this is a great day to put pen to paper and write the first words.
You must only do these if you believe in this philosophy. if you undertake projects half heartedly, the results are not so good.