INDEX 393

triangle inequality, 33, 375trichotomy, 14trigonometric functions, 165

uncountableunit interval, 78

uniform convergence, 287sequence, 117, 152series, 119

uniformly bounded, 122uniformly Cauchy, 118

sequence, 118uniformly continuous, 114unit interval

uncountable, 78upper semicontinuous, 115

variation of constants formula, 302Vitali covering, 347Vitali covering theorem, 345

vitali covers, 347

Wallis formula, 214Weierstrass, 102Weierstrass approximation

estimate, 120Weierstrass approximation theorem, 121Weierstrass Bolzano theorem, 184Weierstrass M test, 119, 292well ordered, 19winding number, 277

Young’s integral, 382estimates, 382

Zermelo, 53