Ancient
What core belief led to the discovery of irrational numbers
The belief of all things are number
Who invented the symbol of summation of infinitely
leibniz
who discovered the theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
pythagoras
How did Egyptians express numbers
In decimal scheme
What were the areas of interest of Leibniz (besides calculus)?
Metaphysics, law, economics, politics, logic, and mathematics (Imaginary numbers, symbolic algebra, solving of linear equations using numerical arrays/matrices)
What were Newton's original interests that led him to create calculus?
Optics and physics
Who wrote the elements
Euclid
What was Barrow's conjecture, which was proved by Newton?
Fundamental Theorem of Calculus
What was the motivation of Leibniz in the creation of calculus?
To study curves and analytic geometry
what is nnii according to the Egyptians
22
What is the definition of infinitesimals
quantity that is closer to 0 than what any standard non-zero real number is, but is not 0
How many book is in Euclid's Element
13
What did the elements proof(give one)
the congruence of triangles, the properties of parallel lines, and the area relations of triangles and parallelograms
What was Newton's attempt to avoid the use of the infinitesimal
Forming calculations based on ratios of changes
What value is the human symbol stand for in Egyptian time
1,000,000/1 million