transcendental function (idea)

Wolfram Research, the company which produces Mathematica, a popular and powerful tool for learning and "doing" mathematics on a Personal Computer (PC), lists the following mathematical functions as "Elementary Transcendental Functions":

• The exponential function, e^z
• The natural logarithm, log_e(z)
• The logarithm to base b, log_b(z)
• The trigonometric functions Sine(z), Cosine(z), Tangent(z), Cosecant(z), Secant(z) and Cotangent(z)
• The inverse trigonometric functions Sine^-1(z), Cosine^-1(z), Tangent^-1(z), Cosecant^-1(z), Secant^-1(z) and Cotangent^-1(z)
• The hyperbolic functions HypSine(z), HypCosine(z), HypTangent(z), HypCosecant(z), HypSecant(z) and HypCotangent(z)
• The inverse hyperbolic functions HypSine^-1(z), HypCosine^-1(z), HypTangent^-1(z), HypCosecant^-1(z), HypSecant^-1(z) and HypCotangent^-1(z)