Math Multiverse for iPad app for iPhone and iPad

Math Multiverse is an RPN calculator to explore alternate math universes (i.e., algebraic fields).

There are seven types of structures to explore: integers (Z) and modular integers (Z/mZ), binary polynomials (F2[x]) and modular binary polynomials (F2[x]/g(x)F2[x]), and polynomials (Fp[x]) and extension fields (Fp[x]/g(x)Fp[x]) over odd prime fields and the symmetric group (Sn).

The app contains a selection of prime integers and (primitive) polynomials of various degrees to choose from.

1) All prime integers less than 2^{19} ;
2) Binary (i.e., F2) primitive polynomial for degrees 2 thru 48;
3) A selection of primitive polynomials for all odd prime base fields less than 256.

Up to 50 elements per tab can be stored, and data can be manipulated and moved between the various worlds by selecting an element in the table.