Līlāvatī
A treatise by Indian mathematician Bhāskara : Squaring a number
Bhāskarācārya (1114-1185 CE) is one of ancient India's most famous mathematician-astronomers. He is also referred to as Bhaskara II.
One of his works in mathematics is titled Līlāvatī.
Before we begin our journey in unravelling Bharatiya Ganita by learning to chant this invocation from Līlāvati.
He followed the tradition of India and Bhāskara begins Līlāvatī with an invocatory verse (mangalācaraṇam) bowing down to Lord Gaṇeśa, the prathama-pūjya~ the first one to whom we offer our prayers.
Bhaskara says the objective of the book is to state the methods/techniques in arithmetics by the phrase "sadganitasya pāṭīm vacmi".
Here the term pātīganita means the branch of mathematics (arithmetics) that deals with [operations on] known quantities. With the phrase "caturaprītipradām", he states that this book shall bring great joy to the intellectuals. May we also recite this verse and learn maths successfully with the blessings of Lord Gaṇeśa!
Squaring method in Līlāvatī
meaning: Suppose an Ista (a number which makes you easy to use) is added and subtracted to the given number, multiply them and add the square of the Ista. If a is the number to be squared then an Ista number, b,
The techniques used in Lilavati and Vedic Mathematics show some similarities. It appears that Tirthaji may have adapted the methods from Lilavati. I believe that Vedic Mathematics and Lilavati complement each other, so exploring one should involve exploring the other as well.