History of Calculus Quiz

Who developed infinitesimal calculus independently in the late 17th century?

• Isaac Newton

• Gottfried Wilhelm Leibniz

• Archimedes

• Euclid

Which ancient mathematician used the method of exhaustion to calculate the area under a parabola?

• Eudoxus

• Archimedes

• Zeno of Elea

• Democritus

Who independently invented the method of exhaustion in China in the 4th century AD?

• Zu Chongzhi

• Liu Hui

• Alhazen

• Ibn al-Haytham

Which European mathematician introduced the concept of adequality, closely related to differentiation?

• Isaac Newton

• René Descartes

• Pierre de Fermat

• Blaise Pascal

Who provided the first full proof of the fundamental theorem of calculus?

• James Gregory

• Isaac Newton

• Gottfried Wilhelm Leibniz

• John Wallis

Who denoted the infinitesimal increments of abscissas and ordinates dx and dy, and the summation of infinitely many infinitesimally thin rectangles as a long s (∫)?

• Blaise Pascal

• Leonhard Euler

• Isaac Newton

• Gottfried Wilhelm Leibniz

Which mathematician showed that using infinitesimal quantities in calculus could be given a solid foundation?

• Abraham Robinson

• Gottfried Wilhelm Leibniz

• Maria Gaetana Agnesi

• Isaac Newton

Who is credited with giving the discipline of calculus the name it is known by today?

• Isaac Newton

• Maria Gaetana Agnesi

• Blaise Pascal

• Gottfried Wilhelm Leibniz

Which mathematician contributed extensively to the theory of calculus of variations?

• All of the above

• Joseph Louis Lagrange

• Adrien-Marie Legendre

• Carl Friedrich Gauss

Who was the first to consider in a general way the question of what differential equations can be integrated in a finite form by the aid of ordinary functions?

• Augustin Louis Cauchy

• Leonhard Euler

• Joseph Fourier

• Niels Henrik Abel