1. (n.) The science of numbers; the art of computation by figures.

2. (n.) A book containing the principles of this science.

Boolean algebra Euclidean geometry Fourier analysis Lagrangian function algebra algebraic geometry analysis analytic geometry associative algebra binary arithmetic calculation calculus ciphering circle geometry descriptive geometry differential calculus division algebra equivalent algebras estimation figuring game theory geodesy geometry graphic algebra group theory higher algebra higher arithmetic hyperbolic geometry infinitesimal calculus integral calculus intuitional geometry invariant subalgebra inverse geometry line geometry linear algebra mathematical physics matrix algebra metageometry modular arithmetic n-tuple linear algebra natural geometry nilpotent algebra number theory plane trigonometry political arithmetic projective geometry proper subalgebra quaternian algebra reckoning reducible algebra set theory simple algebra solid geometry speculative geometry spherical trigonometry statistics subalgebra systems analysis topology trig trigonometry universal algebra universal geometry vector algebra zero algebra