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| Korner T.W. — Exercises in Fourier Analysis |
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| Предметный указатель |
Sphere, volume of n dimensional 193 274
Steinhauss theorem on natural boundaries 269—270
Stirling's formula, proved 76—77 290—291
Stirling's formula, used 78 79—80 180 278 333
Structure of finite Abelian groups 345
Structure of group of units 345—346
Student's t test 308—309
Su C.H., neat idea 59
Submarine, communication with 33 232
Summation methods, Abel 100—104
Summation methods, Borel 6—7
Summation methods, Cesaro 1 101—104
Summation methods, Euler 6—7
Summation methods, general 1—8
Summation methods, Poisson 100 103—105
Summation methods, Toeplitz 4
Symmetries for Fourier transforms 314
Tank, hot water 215
Tauberian theorems, examples of 102—103 362
Tautochrone 281—283
Taylor series, interesting 70—71
Taylor series, random 269—270
Taylor's theorem, counter examples 18 209—210
Taylor's theorem, proofs 18—21 180
Taylor's theorem, used 93—94
Tchebychev see also "Under polynomial and inequalities"
Tchebychev, prime number theorem 171—173
Term by term differentiation of power series 192 262
Theses, out of the ordinary 111—113 118—121 138 349
Theta function 236—239
| Transfer function (response function) 226—229 294—297
Uncertainty principles 234 315—317
Varopoulos, typically ingenious argument of 337—338
Vieta's infinite product for pi 284
Volterra's predator-prey equations 251—253
Wallis's infinite product for pi 77
Watson's lemma 279—281 324—325
Wavelets (simplest version) 183—184
Weierstrass's polynomial approximation theorem in two dimensions 301
Weierstrass's polynomial approximation theorem, another proof 219
Weierstrass's polynomial approximation theorem, Bernstein's proof 25—26
Weierstrass's polynomial approximation theorem, Fejer, incidental proof of 182—183
Weierstrass's polynomial approximation theorem, Lebesgue's proof 27—29
Weierstrass's polynomial approximation theorem, must be modified for complex case 21
Weierstrass, analytic function with prescribed zeros 286
Weierstrass, curly P function 152—154
Weierstrass, M-test 39—40
Weierstrass, Riemann's use of Dirichlet's principle, views on 118 140
Wen, Lui, space filling curve 49—50
Weyl's criterion 11
Worm's life, a 32 142—143
Wrong envelope problem 16—17 198 348
X-ray tomography 318—319
Zeeman M.L., population oscillation 253
Zeta function, extension to complex plane 352—356
Zeta function, Riemann identity 354—356
Zeta function, value at one half 352
Zeta function, value at positive even integers 68
Zeta function, value at three 172—175
Zeta function, zeros of 356 361—362 364—365
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