India · 1114-1185
Bhaskara II
Bhaskara II was mathematician and astronomer. His works Lilavati and Bijaganita developed arithmetic, algebra, indeterminate equations, geometry, and astronomical computation.
Biographical and historical reference works document Bhaskara II’s role and the mathematical work summarized on this page.
3-5, 6-8, 9-12, College
The person and the work
Biography
Bhaskara II was mathematician and astronomer associated with India. His works Lilavati and Bijaganita developed arithmetic, algebra, indeterminate equations, geometry, and astronomical computation.
He described ideas resembling instantaneous motion and used cyclic methods for Pell-type equations. Together, these contributions connect arithmetic, algebra and functions, geometry and measurement, and calculus and change to the working problems, tools, and questions of the period.
Mathematical contribution
What this hero added or preserved
Core mathematical work
His works Lilavati and Bijaganita developed arithmetic, algebra, indeterminate equations, geometry, and astronomical computation.
Method, teaching, or application
He described ideas resembling instantaneous motion and used cyclic methods for Pell-type equations.
Why this matters
The larger lesson
Bhaskara II shows that mathematics grows through proof, calculation, observation, design, teaching, or careful records. The lasting lesson is that arithmetic, algebra and functions, geometry and measurement, and calculus and change can turn a difficult question into a method another person can inspect and reuse.
Place the work in time
Timeline
- 1114
Life and working period
Bhaskara II worked as mathematician and astronomer in India.
- Legacy
Lasting mathematical connection
He described ideas resembling instantaneous motion and used cyclic methods for Pell-type equations.
Key idea
An algorithm is a dependable sequence
Bhaskara II’s work illustrates how a clear sequence of operations turns a difficult task into repeatable calculation.
Following multiplication before addition gives 7 × 8 + 14 = 70.
Try it yourself
Follow the operation order
Calculate 7 × 8 + 14.
- Multiply first.
- Add the remaining value.
- Check by estimating the size of the result.
Show the answer
7 × 8 = 56, and 56 + 14 = 70.
Math at work
Navigators and pilots use the same habits
Navigators and pilots use arithmetic to plan, compare, test, or communicate decisions. Bhaskara II’s work provides a historical example of that connection.
Keep curiosity alive
A little-known fact
He described ideas resembling instantaneous motion and used cyclic methods for Pell-type equations.
Bhaskara II matters because of only one famous formula or anecdote.
The documented record is broader: His works Lilavati and Bijaganita developed arithmetic, algebra, indeterminate equations, geometry, and astronomical computation.
Keep exploring
Connected learning paths
Practice these ideas
- AdditionPractice adding whole numbers, integers, and decimals.
- SubtractionPractice subtracting whole numbers, including results below zero.
- MultiplicationBuild multiplication fluency with basic facts and larger values.
- DivisionSolve division problems with whole-number and decimal answers.
- Pre-AlgebraBridge arithmetic and algebra with integers, ratios, and equations.