Calculus Study: Differential and Integral Calculus
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Calculus Study: Differential and Integral Calculus

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Questions and Answers

What are the two major branches of calculus?

Differential calculus and integral calculus

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

Gottfried Wilhelm Leibniz and Isaac Newton

What fundamental notions are used by the two branches of calculus to relate to each other?

Fundamental theorem of calculus

What does the word 'calculus' mean in Latin?

<p>Small pebble</p> Signup and view all the answers

In mathematics education, what does calculus denote?

<p>Courses of elementary mathematical analysis</p> Signup and view all the answers

Who developed modern calculus independently of each other?

<p>Isaac Newton and Gottfried Wilhelm Leibniz</p> Signup and view all the answers

Which ancient mathematician developed the method of exhaustion to prove formulas for cone and pyramid volumes?

<p>Eudoxus of Cnidus</p> Signup and view all the answers

In which ancient culture was the method of exhaustion discovered independently to find the area of a circle?

<p>China</p> Signup and view all the answers

Who derived a formula for the sum of fourth powers in the Middle East?

<p>Hasan Ibn al-Haytham</p> Signup and view all the answers

Which ancient mathematician combined the method of exhaustion with a concept of the indivisibles?

<p>Archimedes</p> Signup and view all the answers

Which mathematician developed the concept of limits, putting the development of infinitesimal calculus on a more solid conceptual footing?

<p>Archimedes</p> Signup and view all the answers

What did Leibniz originally call the mathematical study of continuous change?

<p>Integral calculus</p> Signup and view all the answers

Which ancient culture discovered the method of exhaustion independently to find the area of a circle?

<p>Egyptian</p> Signup and view all the answers

Who combined the method of exhaustion with a concept of the indivisibles in ancient mathematics?

<p>Euclid</p> Signup and view all the answers

What ancient mathematician developed the method of exhaustion to prove formulas for cone and pyramid volumes?

<p>Eudoxus</p> Signup and view all the answers

Who is credited with developing modern calculus independently of each other?

<p>Gottfried Wilhelm Leibniz</p> Signup and view all the answers

In which ancient culture was the method of exhaustion discovered independently to find the area of a circle?

<p>China</p> Signup and view all the answers

Which ancient mathematician combined the method of exhaustion with a concept of the indivisibles, a precursor to infinitesimals?

<p>Archimedes</p> Signup and view all the answers

Who derived a formula for the sum of fourth powers in the Middle East?

<p>Alhazen</p> Signup and view all the answers

Which ancient Greek mathematician developed the method of exhaustion to prove the formulas for cone and pyramid volumes?

<p>Eudoxus of Cnidus</p> Signup and view all the answers

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