India · 476-c. 550
Aryabhata
Aryabhata was mathematician and astronomer. He wrote compact rules for arithmetic, algebra, trigonometry, astronomical calculation, and an approximation to pi.
Biographical and historical reference works document Aryabhata’s role and the mathematical work summarized on this page.
3-5, 6-8, 9-12, College
The person and the work
Biography
Aryabhata was mathematician and astronomer associated with India. He wrote compact rules for arithmetic, algebra, trigonometry, astronomical calculation, and an approximation to pi.
His sine table and rotation-based explanation of daily sky motion were especially influential. Together, these contributions connect arithmetic, algebra and functions, and trigonometry to the working problems, tools, and questions of the period.
Mathematical contribution
What this hero added or preserved
Core mathematical work
He wrote compact rules for arithmetic, algebra, trigonometry, astronomical calculation, and an approximation to pi.
Method, teaching, or application
His sine table and rotation-based explanation of daily sky motion were especially influential.
Why this matters
The larger lesson
Aryabhata shows that mathematics grows through proof, calculation, observation, design, teaching, or careful records. The lasting lesson is that arithmetic, algebra and functions, and trigonometry can turn a difficult question into a method another person can inspect and reuse.
Place the work in time
Timeline
- 476
Life and working period
Aryabhata worked as mathematician and astronomer in India.
- Legacy
Lasting mathematical connection
His sine table and rotation-based explanation of daily sky motion were especially influential.
Key idea
An algorithm is a dependable sequence
Aryabhata’s work illustrates how a clear sequence of operations turns a difficult task into repeatable calculation.
Following multiplication before addition gives 12 × 4 + 14 = 62.
Try it yourself
Follow the operation order
Calculate 12 × 4 + 14.
- Multiply first.
- Add the remaining value.
- Check by estimating the size of the result.
Show the answer
12 × 4 = 48, and 48 + 14 = 62.
Math at work
Navigators and pilots use the same habits
Navigators and pilots use arithmetic to plan, compare, test, or communicate decisions. Aryabhata’s work provides a historical example of that connection.
Keep curiosity alive
A little-known fact
His sine table and rotation-based explanation of daily sky motion were especially influential.
Aryabhata matters because of only one famous formula or anecdote.
The documented record is broader: He wrote compact rules for arithmetic, algebra, trigonometry, astronomical calculation, and an approximation to pi.
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.