England · 1616-1703
John Wallis
John Wallis was mathematician and cryptanalyst. He advanced algebra, analytic methods, infinite products, and notation including the infinity symbol.
Biographical and historical reference works document John Wallis’s role and the mathematical work summarized on this page.
6-8, 9-12, College
The person and the work
Biography
John Wallis was mathematician and cryptanalyst associated with England. He advanced algebra, analytic methods, infinite products, and notation including the infinity symbol.
The Wallis product expresses pi through an infinite multiplication of rational factors. Together, these contributions connect algebra and functions 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
He advanced algebra, analytic methods, infinite products, and notation including the infinity symbol.
Method, teaching, or application
The Wallis product expresses pi through an infinite multiplication of rational factors.
Why this matters
The larger lesson
John Wallis shows that mathematics grows through proof, calculation, observation, design, teaching, or careful records. The lasting lesson is that algebra and functions and calculus and change can turn a difficult question into a method another person can inspect and reuse.
Place the work in time
Timeline
- 1616
Life and working period
John Wallis worked as mathematician and cryptanalyst in England.
- Legacy
Lasting mathematical connection
The Wallis product expresses pi through an infinite multiplication of rational factors.
Key idea
An equation balances two descriptions
John Wallis’s work shows how symbols can represent an unknown quantity while preserving equality.
In 8x + 7 = 31, subtracting 7 and dividing by 8 gives x = 3.
Try it yourself
Solve the equation
Solve 8x + 7 = 31.
- Subtract 7 from both sides.
- Divide both sides by 8.
- Substitute the result to check.
Show the answer
x = 3.
Math at work
Programmers and data analysts use the same habits
Programmers and data analysts use algebra and functions to plan, compare, test, or communicate decisions. John Wallis’s work provides a historical example of that connection.
Keep curiosity alive
A little-known fact
The Wallis product expresses pi through an infinite multiplication of rational factors.
John Wallis matters because of only one famous formula or anecdote.
The documented record is broader: He advanced algebra, analytic methods, infinite products, and notation including the infinity symbol.
Keep exploring