People
This person properly established the theory of infinitesimals
Who is Cauchy?
This place is where infinitesimals (along with many other mathematical concepts) was first theorized
What is Ancient Greece?
Pythagorus believed that everything could be described through whole numbers and their _____
What are ratios?
Infinitesimals approach but never reach this value
What is zero?
Pictures of cool ____
Curves
This person theorized a version of the infinitesimal (indivisible) in 450 BCE
Who is Democritus?
Both Newton and Leibniz used infinitesimals in what we currently know as _____
What is calculus?
Democritus' ____ theory an early basis for the study of infinitesimals
What is atom/indivisible particle?
What is finite?
Last __ ____!
BC Class
This person's discovery of irrational numbers was important in the later study of infinitesimals
Who is Hippasus?
The idea that led to geometry was that discrete numbers and points could never capture a world made up of _______ entities (lines and surfaces)
What is continuous?
L'Hopital postulated that "a curved line may be regarded as being made up of __________ _____ straight line segments"
What is infinitely small?
Infinitesimals are commonly represented through the use of these
What are limits?
Integrate rectangles of infinitesimal _____
Width
This critic to infinitesimals charged that they undermined all rationality
Who is Berkeley?
One issue with the infinitesimal theory was that it was based on precarious ____ ______
What are logical functions/logic?
Aristotle defined _______ to be the property of infinite divisibility
What is continuity?
_____ calculus was initially referred to as infinitesimal calculus
What is differential/integral?
Newton Leibniz make a ____
Fuss
This person banished the idea of the infinitesimal from mathematical thought (in Ancient Greece)
Who is Eudoxus?
Cauchy gave a rigorous definition of an integral as a _______ __ ____
What is limit of sums?
Infinitesimals played an important role in the method for finding ______ by calculation
What are tangents?
What are variable magnitudes?
____ proved it?, I forgot
Cauchy