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History of Calculus

Calculus

A collection of historical facts regarding the development and key figures of calculus.

history mathematics calculus

12 Questions Easy Ages 12+ Aug 27, 2026

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About this Study Set

This study set covers Calculus through 12 practice questions. A collection of historical facts regarding the development and key figures of calculus. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

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1 Which 17th-century mathematician is widely credited with independently developing calculus alongside Isaac Newton?

A Gottfried Wilhelm Leibniz
B René Descartes
C Blaise Pascal
D Pierre de Fermat

2 In which book did Isaac Newton first publish his work on the laws of motion and universal gravitation, utilizing early forms of calculus?

A Principia Mathematica
B The Analyst
C Arithmetica Infinitorum
D De Moivre's Theorem

3 Which ancient Greek mathematician used the 'method of exhaustion' to calculate areas and volumes, a precursor to integral calculus?

A Archimedes
B Euclid
C Pythagoras
D Thales

4 What is the name of the 1734 critique written by Bishop George Berkeley that challenged the logical foundations of Newton's calculus?

A The Analyst
B The Calculus Controversy
C Principia
D The Method of Fluxions

5 Isaac Newton referred to the process of differentiation as the method of what?

A Fluxions
B Infinitesimals
C Integration
D Tangents

6 Gottfried Wilhelm Leibniz introduced which symbol, still used today, to represent the operation of integration?

A ∫
B Σ
C Δ
D ∂

7 Which mathematician was the first to use the term 'function' in a mathematical sense, a concept central to calculus?

A Gottfried Wilhelm Leibniz
B Leonhard Euler
C Carl Friedrich Gauss
D Bernhard Riemann

8 In the 'calculus priority dispute', which two nations were the primary rivals in claiming the invention of the field?

A England and Germany
B France and Italy
C Spain and Portugal
D Russia and Prussia

9 Which French mathematician is credited with formalizing the definition of the derivative using limits in the 19th century?

A Augustin-Louis Cauchy
B Pierre-Simon Laplace
C Joseph-Louis Lagrange
D Évariste Galois

10 What concept did Bernhard Riemann introduce to provide a rigorous definition of the definite integral?

A Riemann sum
B Newtonian series
C Leibnizian product
D Cauchy sequence

11 Before the term 'calculus' became standard, what term did Newton use to describe his mathematical system?

A Method of Fluxions
B The Fluxionary Calculus
C New Geometry
D Infinite Analysis

12 Which mathematical constant, frequently used in calculus for growth and decay problems, was discovered by Jakob Bernoulli?

A e
B π
C φ
D i

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