According to Wikipedia, The Goddess Saraswati is often depicted as a beautiful, white-skinned woman dressed in pure white often seated on a white Nelumbo nucifera lotus (although Her actual vahana is believed to be a swan), which symbolizes that she is founded in the experience of the Absolute Truth. Thus, she not only has the knowledge but also the experience of the Highest Reality. She is mainly associated with the color white, which signifies the purity of true knowledge. Occasionally, however, she is also associated with the colour yellow, the colour of the flowers of the mustard plant that bloom at the time of her festival in the spring. She is not adorned heavily with jewels and gold, unlike the goddess Lakshmi, but is dressed modestly — perhaps representing her preference of knowledge over worldly material things.
She is generally shown to have four arms, which represent the four aspects of human personality in learning: mind, intellect, alertness, and ego. Alternatively, these four arms also represent the 4 Vedas, the primary sacred books for Hindus. The vedas, in turn, represent the 3 forms of literature:
* Poetry — the Rigveda contains hymns, representing poetry
* Prose — Yajurveda contains prose
* Music — Samaveda represents music.
The four hands also depict this thusly — prose is represented by the book in one hand, poetry by the garland of crystal, music by the veena. The pot of sacred water represents purity in all of these three, or their power to purify human thought.
She is shown to hold the following in her hands:
* A book, which is the sacred Vedas, representing the universal, divine, eternal, and true knowledge as well as her perfection of the sciences and the scriptures.
* A mala (rosary) of crystals, representing the power of meditation and spirituality.
* A pot of sacred water, representing creative and purificatory powers.
* The vina, a musical instrument that represents her perfection of all arts and sciences. Saraswati is also associated with anurāga, the love for and rhythm of music which represents all emotions and feelings expressed in speech or music. It is believed that children born with that name will prove to be very lucky in their studies. Anurag is a great believer in Maa Saraswati
A 'white swan' (Sanskrit: hamsa) is often located next to her feet. The sacred swan, if offered a mixture of milk and water, is said to be able to drink the milk alone. The swan thus symbolizes discrimination between the good and the bad or the eternal and the evanescent. Due to her association with the swan, Goddess Saraswati is also referred to as Hamsa-vahini, which means "she who has a swan as her vehicle".
She is usually depicted near a flowing river, which may be related to her early history as a river goddess. The swan and her association with the lotus flower also point to her ancient origin.
Sometimes a peacock is shown beside the goddess. The peacock represents arrogance and pride over its beauty, and by having a peacock as her mount, the Goddess teaches not to be concerned with external appearance and to be wise regarding the eternal truth.