Is today calculus more similar to Leibnitz's or Newton's approach? [on hold] The Next CEO of Stack Overflowhow exactly did calculus change our understanding of the world?When was the term “mathematics” first used?What do we lose by differentiating without using the rules of differential calculus?Difference between Double and triple integral?Orthogonality properties in Newton's calculus.Calculus Related rates of kite problemWhy two symbols for the Golden Ratio?How to approach calculus?What was the most advanced form of Mathematics in the times of Copernicus?Difference between Roberval and Newton about differentiation.
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Is today calculus more similar to Leibnitz's or Newton's approach? [on hold]
The Next CEO of Stack Overflowhow exactly did calculus change our understanding of the world?When was the term “mathematics” first used?What do we lose by differentiating without using the rules of differential calculus?Difference between Double and triple integral?Orthogonality properties in Newton's calculus.Calculus Related rates of kite problemWhy two symbols for the Golden Ratio?How to approach calculus?What was the most advanced form of Mathematics in the times of Copernicus?Difference between Roberval and Newton about differentiation.
-1
$begingroup$
And if both are used, what are the differences and in which sectors of science are they employed and why?
calculus math-history
edited Mar 28 at 10:38
N. F. Taussig
45k103358
asked Mar 28 at 8:52
NetHackerNetHacker
1143
$endgroup$
put on hold as off-topic by Mauro ALLEGRANZA, Shailesh, Claude Leibovici, José Carlos Santos, Delta-u Mar 28 at 12:24
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Mauro ALLEGRANZA, Shailesh, Claude Leibovici, José Carlos Santos, Delta-u
|
show 2 more comments
-1
$begingroup$
And if both are used, what are the differences and in which sectors of science are they employed and why?
calculus math-history
edited Mar 28 at 10:38
N. F. Taussig
45k103358
asked Mar 28 at 8:52
NetHackerNetHacker
1143
$endgroup$
put on hold as off-topic by Mauro ALLEGRANZA, Shailesh, Claude Leibovici, José Carlos Santos, Delta-u Mar 28 at 12:24
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Mauro ALLEGRANZA, Shailesh, Claude Leibovici, José Carlos Santos, Delta-u
$begingroup$
Current notation is more similat to Leibniz's one.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 8:56
1
$begingroup$
"in which sectors of science are they employed ?" Everywhere.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 8:57
$begingroup$
@MauroALLEGRANZA of course, I meant if both approaches are used, in which different sectors of science are they used and why? For instance, is newton's approach more useful for certains applications?
$endgroup$
– NetHacker
Mar 28 at 8:58
$begingroup$
Todays official version is not close any of those, since neither Leibniz nor Newton used the (modern) notion of functions and the $f(x)$ notation. And if you assume that Newton's $dotx$ meant the same as Leibniz $dx$, then both of the approaches are isomorphic, up to a small notational difference.
$endgroup$
– Michael Bächtold
Mar 28 at 8:58
$begingroup$
The symbols are difefrent but the two approaches are equivalent. This means that today we have one calculus : the calculus, and not two.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 9:01
|
show 2 more comments
-1
-1
-1
$begingroup$
And if both are used, what are the differences and in which sectors of science are they employed and why?
calculus math-history
edited Mar 28 at 10:38
N. F. Taussig
45k103358
asked Mar 28 at 8:52
NetHackerNetHacker
1143
$endgroup$
And if both are used, what are the differences and in which sectors of science are they employed and why?
calculus math-history
calculus math-history
edited Mar 28 at 10:38
N. F. Taussig
45k103358
asked Mar 28 at 8:52
NetHackerNetHacker
1143
edited Mar 28 at 10:38
N. F. Taussig
45k103358
asked Mar 28 at 8:52
NetHackerNetHacker
1143
edited Mar 28 at 10:38
N. F. Taussig
45k103358
edited Mar 28 at 10:38
N. F. Taussig
45k103358
edited Mar 28 at 10:38
N. F. Taussig
45k103358
45k103358
asked Mar 28 at 8:52
NetHackerNetHacker
1143
asked Mar 28 at 8:52
NetHackerNetHacker
1143
asked Mar 28 at 8:52
NetHackerNetHacker
1143
1143
put on hold as off-topic by Mauro ALLEGRANZA, Shailesh, Claude Leibovici, José Carlos Santos, Delta-u Mar 28 at 12:24
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Mauro ALLEGRANZA, Shailesh, Claude Leibovici, José Carlos Santos, Delta-u
put on hold as off-topic by Mauro ALLEGRANZA, Shailesh, Claude Leibovici, José Carlos Santos, Delta-u Mar 28 at 12:24
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Mauro ALLEGRANZA, Shailesh, Claude Leibovici, José Carlos Santos, Delta-u
$begingroup$
Current notation is more similat to Leibniz's one.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 8:56
1
$begingroup$
"in which sectors of science are they employed ?" Everywhere.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 8:57
$begingroup$
@MauroALLEGRANZA of course, I meant if both approaches are used, in which different sectors of science are they used and why? For instance, is newton's approach more useful for certains applications?
$endgroup$
– NetHacker
Mar 28 at 8:58
$begingroup$
Todays official version is not close any of those, since neither Leibniz nor Newton used the (modern) notion of functions and the $f(x)$ notation. And if you assume that Newton's $dotx$ meant the same as Leibniz $dx$, then both of the approaches are isomorphic, up to a small notational difference.
$endgroup$
– Michael Bächtold
Mar 28 at 8:58
$begingroup$
The symbols are difefrent but the two approaches are equivalent. This means that today we have one calculus : the calculus, and not two.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 9:01
|
show 2 more comments
$begingroup$
Current notation is more similat to Leibniz's one.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 8:56
1
$begingroup$
"in which sectors of science are they employed ?" Everywhere.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 8:57
$begingroup$
@MauroALLEGRANZA of course, I meant if both approaches are used, in which different sectors of science are they used and why? For instance, is newton's approach more useful for certains applications?
$endgroup$
– NetHacker
Mar 28 at 8:58
$begingroup$
Todays official version is not close any of those, since neither Leibniz nor Newton used the (modern) notion of functions and the $f(x)$ notation. And if you assume that Newton's $dotx$ meant the same as Leibniz $dx$, then both of the approaches are isomorphic, up to a small notational difference.
$endgroup$
– Michael Bächtold
Mar 28 at 8:58
$begingroup$
The symbols are difefrent but the two approaches are equivalent. This means that today we have one calculus : the calculus, and not two.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 9:01
$begingroup$
Current notation is more similat to Leibniz's one.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 8:56
$begingroup$
Current notation is more similat to Leibniz's one.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 8:56
1
1
$begingroup$
"in which sectors of science are they employed ?" Everywhere.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 8:57
$begingroup$
"in which sectors of science are they employed ?" Everywhere.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 8:57
$begingroup$
@MauroALLEGRANZA of course, I meant if both approaches are used, in which different sectors of science are they used and why? For instance, is newton's approach more useful for certains applications?
$endgroup$
– NetHacker
Mar 28 at 8:58
$begingroup$
@MauroALLEGRANZA of course, I meant if both approaches are used, in which different sectors of science are they used and why? For instance, is newton's approach more useful for certains applications?
$endgroup$
– NetHacker
Mar 28 at 8:58
$begingroup$
Todays official version is not close any of those, since neither Leibniz nor Newton used the (modern) notion of functions and the $f(x)$ notation. And if you assume that Newton's $dotx$ meant the same as Leibniz $dx$, then both of the approaches are isomorphic, up to a small notational difference.
$endgroup$
– Michael Bächtold
Mar 28 at 8:58
$begingroup$
Todays official version is not close any of those, since neither Leibniz nor Newton used the (modern) notion of functions and the $f(x)$ notation. And if you assume that Newton's $dotx$ meant the same as Leibniz $dx$, then both of the approaches are isomorphic, up to a small notational difference.
$endgroup$
– Michael Bächtold
Mar 28 at 8:58
$begingroup$
The symbols are difefrent but the two approaches are equivalent. This means that today we have one calculus : the calculus, and not two.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 9:01
$begingroup$
The symbols are difefrent but the two approaches are equivalent. This means that today we have one calculus : the calculus, and not two.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 9:01
|
show 2 more comments
0
active
oldest
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0
active
oldest
votes
0
active
oldest
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oldest
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oldest
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$begingroup$
Current notation is more similat to Leibniz's one.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 8:56
1
$begingroup$
"in which sectors of science are they employed ?" Everywhere.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 8:57
$begingroup$
@MauroALLEGRANZA of course, I meant if both approaches are used, in which different sectors of science are they used and why? For instance, is newton's approach more useful for certains applications?
$endgroup$
– NetHacker
Mar 28 at 8:58
$begingroup$
Todays official version is not close any of those, since neither Leibniz nor Newton used the (modern) notion of functions and the $f(x)$ notation. And if you assume that Newton's $dotx$ meant the same as Leibniz $dx$, then both of the approaches are isomorphic, up to a small notational difference.
$endgroup$
– Michael Bächtold
Mar 28 at 8:58
$begingroup$
The symbols are difefrent but the two approaches are equivalent. This means that today we have one calculus : the calculus, and not two.
$endgroup$
– Mauro ALLEGRANZA
Mar 28 at 9:01