लीलावती - भारतीयगणितशास्त्रविलासः
Lilavati - A Primer of Indian Mathematics
Lilavati is one of the most important and famous texts of Indian Mathematics, composed by the great Mathematician Bhaskaracharya, in the 12th century CE. In this course, Lilavati will be studied along with the commentary Buddhivilasini of Ganeśa Daivajna.
About the Course
What will you gain from this course? (Key Benefits / Learning Outcomes)
- Glimpse into the ancient mathematical wisdom.
- Understanding the great mathematical work of Bhaskaracharya with audio-visual support.
- Improved capacities (faster, easier, more effective) in modern calculations using ancient techniques.
What are the materials/support you get?
- 44 Pre-recorded (audio and video) classes which you can access anytime, from any device.
- Presentations used for the classes in PDF format.
- Doubt clarifications through Email.
What are the pre-requisites to get the best out of this course? (Eligibility)
- Ability to understand spoken Sanskrit, and basic knowledge of Sanskrit (The course will be taught entirely in Sanskrit).
- Interest in Mathematics.
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About the Teacher
Know More about the Course
About Lilavati
Lilavati is a treatise on mathematics by the Indian mathematician Bhaskara II, written in 1150. It is the first volume of his main work, the Siddhanta Shiromani, alongside the Bijaganita, the Grahaganita, and the Goladhyaya. There is a legend that says that Bhaskara composed this text for his daughter, who was called Lilavati.
The book contains thirteen chapters, mainly definitions, arithmetical terms, interest computation, arithmetical and geometrical progressions, plane geometry, solid geometry, the shadow of the gnomon, the Kuttaka - a method to solve indeterminate equations, and combinations. Lilavati includes a number of methods of computing numbers such as multiplications, squares, and progressions, with examples using kings and elephants, objects which a common man could understand.
About Bhaskaracharya
Bhaskara is also known as Bhaskara II or as Bhaskaracharya. Bhaskaracharya's father was a Brahmana named Mahesvara. Mahesvara himself was famed as an astrologer.
Bhaskaracharya became head of the astronomical observatory at Ujjain, the leading mathematical centre in India at that time. Outstanding mathematicians such as Varahamihira and Brahmagupta had worked there and built up a strong school of mathematical astronomy in the 12th century.
Six works by Bhaskaracharya are known. the six works are:
- Lilavati (The Beautiful) which is on Arithmetic;
- Bijaganita (Seed Counting or Root Extraction) which is on Algebra;
- The Siddhantasiromani is in two parts, the first on mathematical astronomy with the second part on the sphere;
- The Vasanabhasya of Mitaksara which is Bhaskaracharya's own commentary on the Siddhantasiromani ;
- The Karanakutuhala (Calculation of Astronomical Wonders) or Brahmatulya which is a simplified version of the Siddhantasiromani; and
- The Vivarana is a commentary on the Shishyadhividdhidatantra of Lalla.
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