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May 26, 2018 at 16:32 review Close votes
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Nov 11, 2015 at 12:36 comment added nabla @prakharlondhe yes, it's a similar idea. Of course you can use Maxwell's equations to obtain more precise results, or even quantum optics, but usually ray optics are just fine for our purposes and, of course, it is much easier to develop an intuition about a simpler model
Nov 11, 2015 at 4:00 comment added Prakhar Londhe Thanks @gerd, i got you. It is the same as dealing with ray optics as a special case of wave optics when we neglect the wavelength of light when dealing with large size objects(as compared to wavelength of light). Isn't it?
Nov 10, 2015 at 17:49 comment added user83548 @WillO if you combine linear algebra with calculus you get something bigger: distribution theory
Nov 10, 2015 at 17:09 comment added WillO @prahar---The whole point of calculus is to reduce global problems to local problems that can be solved by linear algebra. The whole point of general relativity is to reduce global problems to local problems that can be solved by special relativity.
Nov 10, 2015 at 17:06 comment added Prahar @WillO really? Could you elaborate?
Nov 10, 2015 at 17:05 comment added WillO @prahar: actually, calculus generalizes linear algebra in exactly the same sense that general relativity generalizes special relativity.
Nov 10, 2015 at 17:01 comment added Prahar @WillO While I completely agree with the sentiment, calculus and linear algebra deal with two quite different things. Therefor unlike the example here where special relativity is obtained as a special limit of general relativity, linear algebra and calculus are actually different areas. One does not imply the other.
Nov 10, 2015 at 17:00 comment added user83548 same as Newton's laws, they are easier to use and still accurate for some applications
Nov 10, 2015 at 16:59 comment added nabla When the stress-energy tensor is not too big (that is, usually, when gravitational fields are "weak" and your interactions and processes are not super high energy), and your frame of reference is inertial, special relativity is a really fine model of reality. For instance, quantum electrodynamics uses special relativity, and its predictions are incredibly accurate. You don't need general relativity to know that one apple and another apple add up to two apples; sometimes a simpler model gives the same results as a more complex one within the desired precision. So you choose the simple one.
Nov 10, 2015 at 16:56 comment added WillO Why is linear algebra still in use, if calculus is more broad?
Nov 10, 2015 at 16:46 history asked Prakhar Londhe CC BY-SA 3.0