Mathematica represents Boolean expressions in symbolic form, so they can not only be evaluated, but also be symbolically manipulated and transformed. Incorporating ...

ArcTan[z] gives the arc tangent tan -1 (z) of the complex number z. ArcTan[x, y] gives the arc tangent of y/x, taking into account which quadrant the point (x, y) is in.

ArithmeticGeometricMean[a, b] gives the arithmetic-geometric mean of a and b.

CosIntegral[z] gives the cosine integral function Ci(z).

Even more so than for other special functions, you need to be very careful about the arguments you give to elliptic integrals and elliptic functions. There are several ...

ChineseRemainder[{r_1, r_2, ...}, {m_1, m_2, ...}] gives the smallest non-negative x that satisfies all the integer congruences x mod m_i = r_i mod m_i.

Quartics is an option for functions that involve solving algebraic equations that specifies whether explicit forms for solutions to quartic equations should be given.

The method "DoubleStep" performs a single application of Richardson's extrapolation for any one-step integration method. Although it is not always optimal, it is a general ...

SquaresR[d, n] gives the number of ways r_d (n) to represent the integer n as a sum of d squares.

ParallelCombine[f, h[e_1, e_2, ...], comb] evaluates f[h[e_1, e_2, ...]] in parallel by distributing parts of the computation to all parallel kernels and combining the ...