Stephen Wolfram

JUNE 28, 2023

Line, Surface and Contour Integration “Find the integral of the function ” is a typical core thing one wants to do in calculus. But particularly in applications of calculus, it’s common to want to ask slightly more elaborate questions, like “What’s the integral of over the region ?”, or “What’s the integral of along the line ?”

Computer 121

Computer Calculus Construction Mathematics 121

Robert Talbert, Ph.D.

FEBRUARY 10, 2023

My students are using Geogebra , Wolfram|Alpha , and Excel every week in Calculus; LaTeX in my proof-oriented classes; Mathematica in my linear algebra and Calculus 3 classes; and so on. This is mostly calculus, linear algebra, and differential equations. Instead, bring it in and teach students how to use it well.

Mathematics 52

Mathematics Computer Algebra Calculus 52

Stephen Wolfram

JANUARY 9, 2024

So did that mean we were “finished” with calculus? Somewhere along the way we built out discrete calculus , asymptotic expansions and integral transforms. And in Version 14 there are significant advances around calculus. Another advance has to do with expanding the range of “pre-packaged” calculus operations.

Computer 100

Computer Calculus Construction Accessibility 100

Stephen Wolfram

JUNE 29, 2022

You can give Threaded as an argument to any listable function, not just Plus and Times : &#10005. we’re adding SymmetricDifference : find elements that (in the 2-argument case) are in one list or the other, but not both. If one’s doing something like astronomy, this kind of “physical” date computation is probably what one wants.

Calculus 116

Calculus Construction Computer Argumentation 116

Stephen Wolfram

JANUARY 31, 2023

But in 1798 Benjamin Thompson (Count Rumford) (1753–1814) measured the heat produced by the mechanical process of boring a cannon, and began to make the argument that, in contradiction to the caloric theory, there was actually some kind of correspondence between mechanical energy and amount of heat.

Energy 91

Energy Physics Argumentation Mathematics 91

Stephen Wolfram

DECEMBER 14, 2022

But it’s also got some “surprise” new dramatic efficiency improvements, and it’s got some first hints of major new areas that we have under development—particularly related to astronomy and celestial mechanics. Relativity also isn’t important in geography, but it is in astronomy. Calculus & Its Generalizations.

Computer 77

Computer Astronomy Construction Algebra 77