# I would like to ask about how do certain calculations for example Wolfram Alpha, are there general guidelines?

I would like to ask in a next future how a CAS (I mean a symbolic calculator in mathematics, but I don't understand/know basics in symbolic calculus) does to calculate some operations in mathematics.

Example 1. I do not want to ask about how finds, for example Wolfram Alpha, a root of a non-linear equation. Since the users that provide me answers should said that is only an implementation of, for example, Newton method. Or for example how calculated the LU factorization, a limit or a definite integral. I accept also that there are methods to solve certain problems as plot graphics.

But from my ignorance there is a kind of questions that I don't want to discard because are curious. My problem is that I don't know noting about how symbolic calculators work.

Example 2. I would like to know for example for an identity yet solved in Mathematics Stack Exchange, how a CAS (for example the cited) can obtain such solution. Since it seems magic, and is curious how knows that a series converges or what it is sum, how calculates double integrals or define the convergence or functions.

My

Question. How one can ask (in my situation since I ignore how works such calculator) about how did such calculations (I say for a fixed example) a symbolic calculator? Are rights any of cited questions in Example 2? Since I don't know nothing about how are working with my questions, for example Wolfram Alpha, and I don't know nothing about its engineering, if my example is tagged with (wolfram-alpha) are there more interesting cases, different of those that I cited in Example 2? Thanks in advance.

• If there are examples, near to my purpose, in Mathematics Stack Exchange you can add as a comment or in your answer. Thanks. Also if you want add more tags to this current question in this META. – user243301 Aug 12 '16 at 13:09
• You might want to consider Mathematica for this purpose instead, by the way. – Asaf Karagila Aug 12 '16 at 15:43
• Note that as a rule the Mathematica.SE Community excludes as off-topic questions pertaining to Wolfram Alpha. – hardmath Aug 12 '16 at 18:28
• I undersand then that the best way is continue studying mathematics and using different CAS, and search information in internet or books. Thanks, thus I discard in a next future asks about this kind or questions. – user243301 Aug 12 '16 at 19:11