Hello I want help with What would you say are the biggest differences between how calculus was approached in the late 1600's and early 1700's and how it's approached today? For those of you who are...

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Hello I want help with What would you say are the biggest differences between how calculus was approached in the late 1600's and early 1700's and how it's approached today? For those of you who are teachers, do you think it would be better to teach calculus using Leibniz's idea of infinitesimals? Is the loss of rigor worth it? One problem we've discussed with early calculus is how mathematicians based their methods on unproven assumptions. Which assumption do you think is the biggest problem, and why? I want the answer on own word and free from plagrism

Answered Same DayDec 25, 2021

Answer To: Hello I want help with What would you say are the biggest differences between how calculus was...

David answered on Dec 25 2021

125 Votes

The biggest difference between how calculus was approached in late 1600’s and today is of
the whole definition and approach with infinitesimals.
The theory taught or practiced in today’s calculus denies the existence of infinitesimals. For
e.g.: - Nowadays instead of calling let dx be infinitesimal it is denoted as let delta(x) tend to
zero. The theory or idea which needs to be emphasized upon is that dy/dx should not be
considered as a ratio of infinitesimal differences dy and dx...

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Hello I want help with What would you say are the biggest differences between how calculus was approached in the late 1600's and early 1700's and how it's approached today? For those of you who are...

Answer To: Hello I want help with What would you say are the biggest differences between how calculus was...

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