Building on a mathematical and algorithmic breakthrough made at Wolfram Research, Mathematica 7 introduces full symbolic coverage of roots of transcendental functions. The systematic treatment of traditional algebraic equations based on polynomials was a central achievement of nineteenth century mathematics. Until now, transcendental equations have mostly been treated on a case-by-case basis. Mathematica 7 for the first time allows systematic treatment of transcendental equations, providing exact representations of roots in a symbolic form suitable for general manipulation, and yielding validated global numerical results to any degree of precision.