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Now Bootstrap is probably best known for their mix of computer science and algebra but they are moving into more areas of the curriculum and I think that is a great thing. Last spring, while I was teaching at a new (to me) school I spend some time with a teacher of astronomy.
Through their systematic observations and logical deductions, they established the foundations of mathematics, astronomy, physics, and medicine that we still build upon today. The Greeks also made advances in algebra and number theory. Their pursuit of these answers was not merely academic—it was revolutionary.
PROFESSOR RAJA GUHATHAKURTA Professor of Astronomy and Astrophysics University of California Santa Cruz, USA. . Amanda talks about her astronomy work to a class of school students over Skype. The highlight of my career actually has nothing to do with astronomy! I think there are parallels between art and astronomy.
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As I teach my Linear Algebra and Differential Equations class this semester, which uses more computing than ever, I'm thinking even more about these topics. The computer is a tool for studying mathematical ideas in the same sense that a microscope is for studying biology and a telescope is for studying astronomy.
But what if we ask a question where the answer is some algebraic expression? But in an algebra course, one wouldn’t want to consider the unfactored form a “correct answer” to the factoring problem, even though it’s “mathematically equal”. But at first only some date functions supported granularity; now in Version 13.3
So, for example, astronomy is an area we’ve significantly developed in Version 14 , and supporting astronomy has required adding several new “high-precision” time capabilities, such as the TimeSystem option, as well as new astronomy-oriented calendar systems. Another example concerns date arithmetic. In Version 3.0
we’re connecting to “Descartes-style” analytic geometry, converting geometric descriptions to algebraic formulas. Given three symbolically specified points, GeometricTest can give the algebraic condition for them to be collinear: ✕. Things get even more complicated if we want to get precise times in astronomy.
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. Introducing Astro Computation. Dates are complicated.
Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. Turning from calculus to algebra, we’ve added the function PolynomialSumOfSquaresList that provides a kind of “certificate of positivity” for a multivariate polynomial. But if you’re doing astronomy they can really matter.
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