Questions tagged [calculus]

Question 1

I came across an old Cambridge Tripos question (The 1861 Smith's Prize Exam) which asks: Indicate methods of expanding $a^x$ and $\sin(\frac{x}{m})$. Show that the former function may be expanded ...

Question 2

It is commonplace to hear that Newton and Leibniz introduced calculus in the 17th century, and it is also commonplace to hear that they did not, since some ancient Greeks, especially Archimedes, ...

Question 3

We can see directly from Maxwell`s equations that his equations are for local changes not global which translates to delay and propagation of field changes rather than instant settlements Question : ...

Question 4

Anyone who reads the "Method" of Archimedes will be struck by the resemblance of his methods to Cavalieri's principle, introduced many centuries later, except that Archimedes uses a more ...

Question 5

Background As the inventor of the notation $\dfrac{\mathrm d^n y}{\mathrm dx^n}$ for the derivative of the $n$ order ($n$ integer), Leibniz was asked by L'Hospital in a letter dated September 30, 1695:...

Question 6

Historian Vogt mentioned in an interview that the chemist Schorlemmer once told Marx that one might be able to use the calculus to predict periodic crises of capitalist economy. However, she does not ...

Question 7

What was the problem that Roger Cotes was trying to solve that he came up with the idea of radian measure? Was he trying to find a suitable unit of angle measure so that the derivative of $\sin x$ is ...

Question 8

Maxwell proved Stokes theorem as part of the Smith examination [PDF]. How did Maxwell prove Stokes theorem? How did Stokes himself prove it? Did they use geometric arguments? Given the tools available ...

Question 9

In the minute 2 of a video called 'General proof of the New Calculus Derivative Definition' is showed a way to compute the tangent (it is not based on the methodogy by central differences). For the ...

Question 10

Without providing a source, Ince's book (1920) claims that the expression aequatio differentialis (differential equation) was first used by Leibniz in 1676. This information is repeated in many other ...

Question 11

Background In this post they link this paper about the history of the chain rule. It's in the context of about the educational / pedagogical aspect and possibly error of using the definition of the ...

Question 12

In the book "A Brief History of π" by Petr Beckmann, he writes, in a chapter about Euler, "He did not prove that one is greater than zero or that the circle has no discontinuities (as ...

Question 13

How do we know that Newton and Leibniz discovered calculus independently, or is it just a community agreement that both get the same credit? If Leibniz published calculus first, do we have papers on ...

Question 14

When browsing Mathematics Stack Exchange, I found one question about the following formula \begin{equation} \frac{d}{dt} \left( \int_{a(t)}^{b(t)} f(x,t) dx \right) =f(b(t),t) b'(t) - f(a(t),t) a'(t) +...

Question 15

Where was the word "linear" first used in terms like "linear function" or "linear equation" and what was the reason behind this name?

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Questions tagged [calculus]

Meaning of “expand by algebra” in an old Tripos question about $a^x$ and $\sin(x/m)$?

Is the fundamental theorem of calculus the main thing distinguishing Newton and Leibniz from their precessors?

How earlier physicists like Maxwell specifically accounted for delay and propagation of changes in fields rather than their instant settlement?

History of Cavalieri's principle before, during, and after Cavalieri's life

Exact meaning of a remark by Leibniz on the meaning of the fractional derivative $\mathrm d^{1/2}x$

Marx, calculus and crises of capitalism

How did Roger Cotes come up with the idea of radian measure?

How did Maxwell prove Stokes theorem?

Regarding the original date of a particular method to compute the tangent [closed]

In what document was the expression "differential equation" first used?

What are the chain rule's earlier and newer formulation?

Was it ever fashionable to try to prove that circles don't have discontinuities?

How do we know that Newton and Leibniz discovered calculus independently?

Who discovered this formula in multivariable calculus?

Use of the word "linear"

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