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| Knopp K. — Theory and applications of infinite series |
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| Предметный указатель |
Summation, index of 99
Summation, range of 398
Sums of columns of rows 144
Sylvester, J.J. 180
Symbolic equations 183 523 526
Tangent 202 seq. 417
Tauber, A. 486 500
Tauberian theorems 486 500
Taylor's series 175—176
Taylor, B. 175
Term by term passage to the limit see "Passage"
Terms of a product 219
Terms of a series 99
Test of convergence see "Convergence tests"
Theory of convergence, general remarks on 298—305
Theory of convergence, systematization of 305—311
Titchmarsh, E.C. 444
Toeplitz' limit theorem 74 391
Toeplitz, O. 74 474 489—490
Tonelli, L. 350
Transformation of series 240 seqq. 260
Trigonometrical functions 198—208 414—419
Trigonometrical functions, calculation of 258—259
Trigonometrical series 350 seq.
Ultimate behaviour of a sequence 16 47 95 103
Unconditionally convergent 139 226
Uniform continuity 162
Uniform convergence of Dirichlet series 442
| Uniform convergence of faculty series 446—447
uniform convergence of Fourier series 355—356
Uniform convergence of Lambert series 449
Uniform convergence of power series 332 seqq.
Uniform convergence of products 381
Uniform convergence of series 326 seq. 428
Uniform convergence, tests of 344 seq. 381
Uniform summability 496
Uniformly bounded 337
Uniqueness of the system of real numbers 33 seqq.
Uniqueness, theorem of 35 172
UNIT 10
Unit circle 402
Value of a series 101 460
Van Orstrand, C.E. 187
Vieta, F. 218
Vivanti, G. 344
Voss, A. 322
Wallis' product 384 529
Wallis, J. 20 39 219 556
Weierstrass' approximation 497
Weierstrass' test for complex series 398 seq.
Weierstrass' test of uniform convergence 345
Weierstrass' theorem on double series 430 seqq.
Weierstrass, K. 1 91 334 345 379 394 398 408 430
Wiener, N. 451
Wirtinger, W. 521 seq.
Zero 10
Zygmund, A. 350
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