398 Index

union, 3

unit

normal vector, 352

tangent vector, 327

vector, 243

universal set, 4

upper

bound, 23

integral, 104, 278

sum, 102, 277

vanishing derivative, 91

variable

change of, 241

dependent, 240

vector, 162

addition, 162

components, 162

normal, 352

tangent, 245

vector space, 162, 280

basis, 215

finite-dimensional, 215

infinite-dimensional, 385

linear subspace, 215

vector-matrix

notation, 209

product, 209

velocity field, 363

volume, 283

inner, 283

of a rectangle, 276

outer, 283

zero, 285

wedge product, 332

Weierstrass M-test, 147, 206

well ordering

for the natural numbers, 379

well-ordered set, 383

well-ordering principle, 15

Well-ordering Theorem, 384

Zermelo-Fraenkel axioms, 383

zero vector, 162

Zorn’s Lemma, 383