France and England · 1667-1754
Abraham de Moivre
Abraham de Moivre was mathematician. He connected complex numbers with trigonometry and developed probability approximations.
Biographical and historical reference works document Abraham de Moivre’s role and the mathematical work summarized on this page.
6-8, 9-12, College
The person and the work
Biography
Abraham de Moivre was mathematician associated with France and England. He connected complex numbers with trigonometry and developed probability approximations.
De Moivre’s formula links powers of complex numbers to angle multiplication. Together, these contributions connect algebra and functions, trigonometry, and statistics and probability to the working problems, tools, and questions of the period.
Mathematical contribution
What this hero added or preserved
Core mathematical work
He connected complex numbers with trigonometry and developed probability approximations.
Method, teaching, or application
De Moivre’s formula links powers of complex numbers to angle multiplication.
Why this matters
The larger lesson
Abraham de Moivre shows that mathematics grows through proof, calculation, observation, design, teaching, or careful records. The lasting lesson is that algebra and functions, trigonometry, and statistics and probability can turn a difficult question into a method another person can inspect and reuse.
Place the work in time
Timeline
- 1667
Life and working period
Abraham de Moivre worked as mathematician in France and England.
- Legacy
Lasting mathematical connection
De Moivre’s formula links powers of complex numbers to angle multiplication.
Key idea
An equation balances two descriptions
Abraham de Moivre’s work shows how symbols can represent an unknown quantity while preserving equality.
In 3x + 14 = 44, subtracting 14 and dividing by 3 gives x = 10.
Try it yourself
Solve the equation
Solve 3x + 14 = 44.
- Subtract 14 from both sides.
- Divide both sides by 3.
- Substitute the result to check.
Show the answer
x = 10.
Math at work
Merchants and business owners use the same habits
Merchants and business owners use algebra and functions to plan, compare, test, or communicate decisions. Abraham de Moivre’s work provides a historical example of that connection.
Keep curiosity alive
A little-known fact
De Moivre’s formula links powers of complex numbers to angle multiplication.
Abraham de Moivre matters because of only one famous formula or anecdote.
The documented record is broader: He connected complex numbers with trigonometry and developed probability approximations.
Keep exploring
Connected learning paths
Practice these ideas
- Pre-AlgebraBridge arithmetic and algebra with integers, ratios, and equations.
- Algebra IPractice equations, variables, functions, ratios, and inequalities.
- Algebra IIWork with quadratics, polynomials, systems, and sequences.
- TrigonometryUse angles, right triangles, radians, and trigonometric functions.
- Statistics & ProbabilityWork with averages, data sets, probability, and spread.