Lilavati: 8 key ideas
The core ideas of Lilavati, each in under a minute, written in our own words. Want the full depth? Get the book.
- IDEA 1 OF 8
A mathematics book in verse
Lilavati is a book of arithmetic and geometry written by Bhaskaracharya, also called Bhaskara II, in the twelfth century.
It forms part of his larger work on astronomy and mathematics, and it was used to teach mathematics in India for centuries.
- IDEA 2 OF 8
A legend explains its name
According to a popular legend, Bhaskara named the book after his daughter Lilavati.
Her wedding hour was missed when a pearl fell into a water clock, and he wrote the book to console her, though historians treat the story as legend.
- IDEA 3 OF 8
Problems are set as poems
Many problems in the book are written as charming verses, often addressed to a young girl.
They involve bees, flowers, peacocks and pearls, making mathematics feel playful and memorable. Puzzles invite the reader to solve them.
- IDEA 4 OF 8
Basic operations are explained clearly
The book explains arithmetic operations such as addition, multiplication, fractions, squares and roots.
Bhaskara gives clear rules and examples so learners can practise each method. Each rule is followed by practice problems.
- IDEA 5 OF 8
Zero has its own rules
Bhaskara discusses how zero behaves in calculations, such as adding, subtracting and multiplying by zero.
These ideas show the advanced understanding of numbers in Indian mathematics. Some of his rules were ahead of their time.
- IDEA 6 OF 8
Counting arrangements is explored
Lilavati includes problems on permutations and combinations, such as counting the ways to arrange objects.
These topics show early work on what is now called combinatorics. They include arrangements of gods' symbols and verses.
- IDEA 7 OF 8
Geometry measures the world
The book covers geometry, including areas of shapes, volumes and properties of triangles.
Bhaskara applies these ideas to practical problems like measuring land. Builders and surveyors found it useful in their daily work.
- IDEA 8 OF 8
Equations are solved step by step
Bhaskara explains methods for solving certain equations, including the kuttaka, or pulveriser, method.
These techniques show the strength of Indian algebra in his time. Such methods impressed later mathematicians. They remain impressive.
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