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| Hobson E.W. — Theory of Functions of a Real Variable and the Theory of Fourier's Series V1 |
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| Предметный указатель |
Metric density 178
Meyer 566
Mill, J.S. 1
Mirimanoff 245 247
Mittag-Leffler 72 96
Mollerup 237
Montel 376
Moore, E.H. 429 615 617 621
Nalli 629
negative numbers 17
Nets, systems of 65
Netto 433 566
Neumann, C. 330 566
Neville 77
Newton 20
Null-function, point-wise discontinuous 306
Order, notion of 2
Order-functions 227
Order-types 203
Order-types  208
Order-types, addition and Multiplication of 204
Order-types, of continuum 209
Ordinal numbers, arithmetic of 225
Ordinal numbers, definition of 4 216
Ordinal numbers, limiting 218
Ordinal numbers, of second class 91 218
Ordinal numbers, sum and product of 217
Ordinal numbers, transfinite 88
Oscillation, of function at a point 284
Oscillation, of function in an interval 328
Osgood 416
Padoa 7
PAL 110
Pasch 284
Peacock 21
Peano 10 24 183 248 303 318 381 401 403 417 424 425
Pereno 367
Pierpont 484 502 527
Pincherle 22
Poincare 7 247 248 254
Pollard 437
Pringsheim 10 20 47 48 49 186 334 338 384 475 484 486 487 566 591
Radon 615
Rational numbers, aggregate of 19
Rational numbers, section of aggregate of 23
Real numbers, Cantor's definition 29
Real numbers, convergent sequences of 34
Real numbers, Dedekind's definition 24
Real numbers, equivalence of two definitions of 39
Real numbers, everywhere dense 50
Real numbers, operations on 32
Real numbers, representation of 45
Rectifiable curves 318
Repeated, existence and equality of, limits of functions 384
Repeated, integrals 479 573
Repeated, limits of functions 381
Richard 87
Riemann 302 431 432 435 440 475 591
Riesz, F. 203 548 588
Rudio 48
Russell, B.A.W. 10 11 24 31 87 210 237 240 246 247 248
Saltus 283
Saltus, -function 291
Scheeffer 318 333 343 345 359 417
Schepp 56
Schoenflies 112 133 152 200 237 245 303 304 306 307 320 353 367 429 446 455 466 480 486
Schroder 196
Schubert 10
Schwarz 347 401 534
Schwarz's theorem 347
Schwarz's theorem on partial differential coefficients 401
Semi-continuous functions 290
| Sequences, ascending and descending 205
Sequences, convergent 27
Sequences, double 526
Sequences, monotone double 536
Sequences, simple 6
Serret 484
Sets of intervals, external, internal, and semi-external points of 101
Sets of intervals, or cells, limiting point of 63
Sets of intervals, properties of 96
Sets of points 58
Sets of points, analysis of 123
Sets of points, closed 73—94 112 120 142
Sets of points, Connex 142
Sets of points, degrees of points in 123
Sets of points, dense in themselves 73
Sets of points, derivatives of 71 78
Sets of points, detached 142
Sets of points, everywhere dense 74
Sets of points, frontier of 75 141
Sets of points, improper limiting point of 70
Sets of points, inner limiting 128
Sets of points, interior points of 74
Sets of points, irreducible 120
Sets of points, isolated 73
Sets of points, limiting points of 67
Sets of points, measurable 166
Sets of points, non-dense 74
Sets of points, non-dense cloud 112
Sets of points, non-dense perfect 112
Sets of points, of cardinal number of continuum 232
Sets of points, of first and second categories 129
Sets of points, of first and second species 71
Sets of points, open 75 143
Sets of points, perfect 73
Sets of points, reducible 120
Sets of points, residual 131 132
Sets of points, sequences of closed 94 175
Sets of points, transfinite derivatives of 95
Sets of points, unbounded 60
Sets of points, upper and lower boundaries of 59
Sierpinski 94 182 250 251 267
Smith, H.J.S. 72 119 446
Square, representation of, in linear interval 424
Steinitz 367
Stephanos 49
Stieltjes 506
Stolz 53 55 154 338 396 401 403 418 446 487 488
Study 311
Systems of nets 65
Tannery 31
Thomae 380 395 433 446 462 486
Torelli 561
Total fluctuation 311
Unenumerable, proof that continuum is 81
Unity, notion of 1
Vallee-Poussin, de la 67 75 76 104 149 161 166 169 171 180 182 329 437 523 540 542 555
Van Vleck 159 607
Variable, real 256
Variation 307 321
Veblen 210
Veltmann 187
Vergerio 324
Veronese 56
Vitali 536
Volterra 263 302 461
Wallis, J. 36
Watson, G.N. 152
Weierstrass 22 51 60 269 332 565
Westfall 416
Whitehead 11 87 193 237
Young, G.C. 110 111 152 360 368 370 376 377 422
Young, W.H. 101 102 107 110 111 112 123 125 134 152 166 175 177 227 287 296 297 298 309 324 326 338 360 376 378 381 391 401 402 407 416 422 444 509 516 526 527 547 553 561 572 598 599 608 609 628 653 655 656 662 663
Zermelo 196 237 248 253 254
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