Changes

== Introduction ==

== Introduction ==

Ganita literally means “the science of calculation” which means mathematics. The term “Ganita” is an ancient one and occurs widely in the Vedic literature. In earliest times, ganita included astronomy, but later on it was studied separately.

Ganita literally means “the science of calculation” which means mathematics. The term “Ganita” is an ancient one and occurs widely in the Vedic literature. In earliest times, ganita included astronomy, but later on it was studied separately.

<span style="color:#ff7f50">यथा शिखा मयूराणां नागानां मणयो यथा ।

<span style="color:#ff7f50">'''तद्वद्वेदाङ्गशास्त्राणां ज्योतिषं (गणितं) मूर्धनि स्थितम् ॥ १९ ॥''' </span>(Veda. Jyot. 4 <ref>''Yajus Jyotisham (Vedanga Jyotisa) by Lagadha'' ([https://insa.nic.in/writereaddata/UpLoadedFiles/IJHS/Vol19_3_10_SupplementVedangjyotishaofLagdha.pdf Page 27])</ref>)

Meaning: As the crests on the heads of peacocks, as the gems on the hoods of snakes, so is ganita at the top of the sciences known as the Vedanga.  

 

Meaning: As the crests on the heads of peacocks, as the gems on the hoods of snakes, so is ganita at the top of the sciences known as the Vedanga. '''(Illustration Required)'''

Numbers in India, were known since the earliest times, as we find them described in the Vedas which are said to be the oldest literary material available. The concept of nine numerals, decimal place-value, with the introduction of zero significantly contributed to the development of mathematics in ancient India. Before learning about Ganita, let us seek blessings for our good understanding of the subject, just like Bhaskaracharya.

Numbers in India, were known since the earliest times, as we find them described in the Vedas which are said to be the oldest literary material available. The concept of nine numerals, decimal place-value, with the introduction of zero significantly contributed to the development of mathematics in ancient India. Before learning about Ganita, let us seek blessings for our good understanding of the subject, just like Bhaskaracharya.

== Mangalacharana ==

== Mangalacharana ==

The Lilavati is one of the greatest mathematical contributions given to the world by Bhaskaracharya, for a student to learn computing in a delightful way using simple examples from daily life. However, before we start any work, as laid out by our ancient rshis and gurus, we first seek the blessings of the deities to successfully guide us in our activities, in the form of mangalacharana. Let’s learn the mangalacharana of Bhaskaracharya as given in Lilavati.

The Lilavati is one of the greatest mathematical contributions given to the world by Bhaskaracharya, for a student to learn computing in a delightful way using simple examples from daily life. However, before we start any work, as laid out by our ancient rshis and gurus, we first seek the blessings of the deities to successfully guide us in our activities, in the form of mangalacharana. Let’s learn the mangalacharana of Bhaskaracharya as given in Lilavati.

प्रीतिं भक्तजनस्य यो जनयते विघ्नं विनिघ्नन् स्मृत-

प्रीतिं भक्तजनस्य यो जनयते विघ्नं विनिघ्नन् स्मृत-

सङ्क्षिप्ताक्षरकोमलामलपदैर्लालित्यलीलावतीम् ।। (शार्दूलविक्रीडितम् लीला. 1.1)  

सङ्क्षिप्ताक्षरकोमलामलपदैर्लालित्यलीलावतीम् ।। (शार्दूलविक्रीडितम् लीला. 1.1)  

Having saluted the elephant-faced devata (Ganesha), whose feet are worshipped by all devatas and who bestows happiness on devotees by destroying obstacles when remembered, I state (start) a lucid, graceful, and a charming work on arithmetic by using simple, soft and clear words, which will give joy to the intelligent. '''(Illustration Required for following place-holder)'''

Having saluted the elephant-faced devata (Ganesha), whose feet are worshipped by all devatas and who bestows happiness on devotees by destroying obstacles when remembered, I state (start) a lucid, graceful, and a charming work on arithmetic by using simple, soft and clear words, which will give joy to the intelligent.  

As is the tradition in India, Bhaskaracharya begins Lilavati with this mangalacharana shloka seeking the blessings of Ganesha, the remover of obstacles, who is the Prathama-pujya, for successful completion of writing this book. He also states that this is a work on arithmetic, delightfully interesting to the mind, written in an easily understood manner.

As is the tradition in India, Bhaskaracharya begins Lilavati with this mangalacharana shloka seeking the blessings of Ganesha, the remover of obstacles, who is the Prathama-pujya, for successful completion of writing this book. He also states that this is a work on arithmetic, delightfully interesting to the mind, written in an easily understood manner.