Math notes / Recreational mathematics: Difference between revisions

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==Recreational mathematics==


In various areas of mathematics, such as logic and number theory, there are various posed questions with seemingly arbitrary specificity, such as logic puzzles, geometric puzzles, theorhetical game puzzles, and various properties within number theory such as integer and/or digit based (which are often base dependent) definitions such as the definition of Happy Numbers, various integer sequences (often based on such properties), and things like Magic Squares.
In various areas of mathematics, there are questions (sometimes very specific ones) with no apparent application, that may yet be interesting to figur eout
 
Within logic and number theory, consider logic puzzles, geometric puzzles, theorhetical game puzzles.
 
Within number theory, consider integer and/or digit based (which are often base dependent) definitions such as the definition of Happy Numbers, various integer sequences (often based on such properties), and things like Magic Squares.
 
 
They may
reveal interesting properties.
be good demonstrations,
lead to some good exercise of how to compute answers,
 
...or may have properties that end up being useful later.
Consider how prime number theory found importance in cryptography.


Some of these are purely recreational, others are direct displays of certain structures, or may reveal interesting properties.
Others are far less arbitrarily and more serious, often through the uses we found for them, such as how prime number theory found importance in cryptography.





Revision as of 15:58, 13 September 2022