GOLDEN YEARS OF MOSCOW MATHEMATICS

Smilka Zdravkovska Peter L. DurenEditors

HISTORY OF MATHEMATICS • VOLUME 6AMERICAN MATHEMATICAL SOCIETYLONDON MATHEMATICAL SOCIETY

SECOND EDITION

HISTORY OF MATHEMATICS • VOLUME 6

GOLDEN YEARSOF MOSCOWMATHEMATICSSECOND EDITION

GOLDEN YEARSOF MOSCOWMATHEMATICSSECOND EDITION

Smilka Zdravkovska Peter L. DurenEditors

HISTORY OF MATHEMATICS • VOLUME 6

American Mathematical SocietyLondon Mathematical Society

10.1090/hmath/006

2000 Mathematics Subject Classification. Primary 01–06, 01A60, 01A65, 01A70.

For additional information and updates on this book, visitwww.ams.org/bookpages/hmath-6

Library of Congress Cataloging-in-Publication Data

Golden years of Moscow mathematics / Smilka Zdravkovska, Peter L. Duren, editors. — 2nd ed.p. cm. — (History of mathematics ; v. 6)

ISBN-13: 978-0-8218-4261-4 (alk. paper)ISBN-10: 0-8218-4261-7 (alk. paper)1. Mathematics—Russia (Federation)—Moscow—History—20th century. I. Zdravkovska,

Smilka, 1947– II. Duren, Peter L., 1935–

QA27.R8G65 2007510.947′310904—dc22 2006052223

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Preface to the Second Edition

It is a truism to state that much has changed for the Moscow mathematicalcommunity in the almost twenty years since the idea for this book was conceived andwe approached about forty mathematicians in the Soviet Union for contributions.Some accepted, others did not reply, and some declined with an apology that timeswere too uncertain for them to be completely open about airing their views.

In the meantime, many have emigrated, others remained, but the contactsbetween the first and second groups are more numerous than anyone could haveanticipated in the early 1990’s: some of those who emigrated return regularly toMoscow for seminars, teaching and conducting research, and some of those who re-mained go to conferences, sabbaticals and other visits abroad. This interminglingof Russian mathematicians with those from outside of Russia has had several con-sequences for mathematics, both within and without Russia. Thus, to mention butone example, we see in the U.S. (say, at UC Davis, or Penn State) the organizationby Russian mathematicians of “mathematical circles” as a method for training highschool and undergraduate students by their slightly older peers, as was common inRussia (see footnote on p. 143).

When we were asked to prepare a preface for this second edition, it seemed natu-ral to solicit an update by a Moscow mathematician. V. M. Tikhomirov graciouslyagreed and contributed on very short notice the beautiful article “On MoscowMathematics—Then and Now”, which is much more than an update, giving us anoverview of 20th-century Moscow mathematics.

Reading this account was like a trip down memory lane. We hope it will provokethe same reaction from those who have experienced Moscow mathematics in thatperiod, and, for others, that it will provide some flavor of what it was like to bethere.

Tikhomirov sent us his article just before the 2006 International Congress ofMathematicians in Madrid began. So he had no way of knowing that out of thefour Fields medals in Madrid, two would be awarded to mathematicians born andtrained in Russia, one of them in Moscow. One of them has remained in Russia, andthe other lives and works in the U.S. but has kept close ties with mathematiciansin the old country.

So we join our hope to that of Tikhomirov and many others that the newcentury will be as productive for Moscow and Russian mathematics in general asthe preceding one was.

In addition to the new article by Tikhomirov, this edition contains an index ofnames and a short list of errata. We are grateful to V. I. Arnold, who sent a wholepage of corrections as soon as the first edition appeared.

Smilka Zdravkovska and Peter DurenAnn Arbor, September 2006

vii

ERRATA

p. ix, line 1, “IMU” should be “IUM”p. 8, line 11 from below, “V1” should be “VI”p. 9, line 7 from below, “it the” should be “it”p. 11, line 21 from below, “Louis K. Arboleda” should be “Luis C. Arboleda”p. 12, line 11, “appeared 1980” should be “appeared in 1980”p. 26, line 2 from below, “Petrova-Vodkina” should be “Petrov-Vodkin”p. 30, line 17, “Komarovka” should be “Komarovo”p. 30, line 10 from below, “Komarov” should be “Komarovo”p. 30, line 15 from below, “Yudina” should be “Yudin”p. 31, line 5 from below, “Komarovka” should be “Komarovo”p. 37, line 17 from below, “195?” should be “1950”p. 40, line 7, “19??” should be “1996” (she died in the meantime)p. 45, line 14, “[A13]” should be “[A13])”p. 49, line 24, “again Lusin” should be “against Lusin”p. 56, line 13 from below, “Ivernova” should be “Iveronova”p. 58, line 17, “consisting” should be “consisted”p. 60, line 12 from below, “did not more” should be “did no more”p. 66, line 20 from below, “at the MMS” should be “of the MMS”p. 67, line 8 from below, “grater” should be “greater”p. 72, line 5 from below, “abut” should be “about”p. 76, line 4, “vector diagrams and” should be “vector diagrams, and”p. 86, line 16, “Nordan” should be “Norden”p. 88, line 13 from below, “when it came” should be “when it came time”p. 90, line 19, “of this” should be “of his”p. 91, line 20, “Aleksandrovna” should be “Arsentievna”p. 93, line 8, “only partically” should be “only partially”p. 93, line 15, “HET” should be “IIET”p. 93, line 3 from below, “Sacceri” should be “Saccheri”p. 94, line 17 from below, “Arbic” should be “Arabic”p. 98, line 4, “in this city” should be “to this city”p. 101, in the footnote, Tikhomirov’s name is misspelledp. 104, line 2 from below, “Honoray” should be “Honorary”p. 105, line 23, “may seen” should be “may seem”p. 117, lines 24–25, “of the 1930” should be “of 1930”p. 123, line 3, “where overtaken” should be “were overtaken”p. 125, line 4 from below, “USSR” should be “UkrSSR”p. 126, line 6, “Martin-Lev” should be “Martin-Lof”p. 126, line 17, “academy” should be “Academy”

285

286 ERRATA

p. 133, line 4 of the footnote, “trehizmeritel!nye” should be“trehizmeritel"nye”

p. 134, line 6 from below, “works Andrei” should be “works of Andrei”p. 135, lines 15 and 16, the subject of the dissertation should be

“On the homotopy groups of the group of diffeomorphisms of the sphere”p. 137, line 4, “Martin-Lev” should be “Martin-Lof”p. 140, line 1 from below, “invesigational” should be “investigational”p. 140, line 7 from below in the footnote, “did not recall” should be “reminded

me of”p. 143, line 11, “new” should be “now”p. 143, line 12 from below, “reading-room for” should be “colloquium for high-

school”p. 145, line 4, “official” should be “waiter”p. 149, line 19, “hears” should be “years”p. 149, line 26, “this” should be “his”p. 149, line 16 from below, “this death” should be “his death”p. 151, line 19, “his” should be “one”p. 152, line 20, “but although” should be “but when” (the second event occurs

40 years later)p. 152, line 27, “mountains.” should be “mountains).”p. 152, the footnote should read: “Editors’ note: The chairman of any Depart-

ment of the Academy is called Academic Secretary.”p. 195, line 1, “contacts.”” should be “contacts.”p. 195, line 21, “precise.”” should be “precise.”p. 196, line 4, “I goes” should be “It goes”p. 201, line 1 from below, “certain of closed” should be “certain closed”p. 215, line 9 from below, “bet” should be “best”p. 220, line 13, “listed” should be “listened”p. 228, line 6 from below, “1959” should be “1962”p. 229, line 11, “Plank” should be “Planck”p. 246, line 16 from below, “Vigodskiı” should be “Vygodskiı”p. 246, line 6 from below, “Ribkin” should be “Rybkin”p. 247, line 7 from below, “Ozhigov” should be “Ozhigova”p. 250, line 14, “Luens” should be “Lusis”p. 250, line 16, “Khalinnov” should be “Khalilov”p. 250, line 14 from below, “Putyat” should be “Putyata”p. 251, line 21 from below, “A. S. Novikov” should be “P. S. Novikov”p. 252, line 13, “L. K. Arboleda” should be “L. C. Arboleda”p. 252, line 10 from below, “Ermolaev” should be “Ermolaeva”p. 256, line 23, “L.K. Arboleva” should be “L. C. Arboleda”

Index of Names

Abramov, A. M., 125

Adams, 219

Agaev, G. N., 250, 257

Agranovich, M., 220

Aivazyan, 144

Aizenshtat, N. D., 279

Akhiezer, N. I., 250, 256

Akhundov, A. M., 250, 256

Aleksakhin, I. P., 50

Aleksandrov, Aleksandr Danilovich, 1, 85,

97, 99

Aleksandrov [Alexandroff, Alexandrov],

Pavel Sergeevich, 1, 2, 6–17, 23–26, 31,

32, 37, 40, 41, 46, 48–50, 52, 53, 56,

58, 60, 62, 63, 65, 66, 80–82, 89, 103,

104, 108, 110, 115, 119, 120, 135, 142,

149, 150, 152, 157, 159, 167, 169, 170,

174–176, 184, 217–219, 228–230, 232,

233, 237, 238, 241, 246, 249–253, 256,

257, 260, 261, 273, 274, 276, 277, 279,

280

Alekseev [Alexeev], Vladimir Mikhailovich

[Volodya], 125, 144, 235, 278, 280, 281

Alekser, S., 282

Alexander, J., 122, 135

Anderson, R. D., 230

Andreev, K. A., 248, 260

Andrunakievich, V. A., 250, 256

Anosov, D. V., 217, 218, 230, 232, 278, 282

Apollonius, 20

Arak, T. V., 116

Arato, A. M., 125

Arboleda, Luis Carlos, 11, 252, 256

Archimedes, 118

Aristotle, 109

Arnol′d, Igor Vladimirovich, 18, 87

Arnol′d, Natal′ya Mikhaılovna, 87

Arnol′d [Arnold], V. I. [Dima], viii, ix, 18,

68, 73, 87, 97, 105, 110, 117, 125, 129,

217, 218, 222, 223, 230, 232, 235, 239,

242, 273, 278–282

Artemov, S. N., 281, 282

Arzela, 121

287

288 INDEX OF NAMES

Arzhannikov, 21

Arzhanykh, I. S., 250, 256

Asarin, E. A., 125

at-Tusı, Nasır ad-Dın, 93, 94

Atiyah, 219

Averbukh, B., 218

Babel′, I. I. [Isaak], 91

Bach, A. N., 48, 49

Bach, Iohann Sebastian, 148

Bachelier, 110

Bachmann, 175

Baily, W., 207

Baire, R., 274

Bakhrushin, S. V., 103

Bakhvalov, N. S., 278

Bakhvalov, S. V., 250, 260

Balla, Katalin, 195

Balzan, 105

Banach, 209

Bardzin′, 136

Barenblatt [Barenblat], Grigoriı Isaakovich,

80, 125

Bari, N. K., 40, 58, 61–63, 68, 112, 201,

217, 230, 274, 276, 279, 280

Baron, S. A., 250, 256

Bashmakova, I. G., 10, 19, 25, 183, 248,

249, 253, 256

Bassalygo, L. A. [Lenya], 125, 137

Batyrev, V. V., 282

Bavli, G. M., 125

Bazhanov, V. A., 248, 260

Beethoven, 31, 183

Beilinson, A. A., viii, 214, 215, 282

Belavin, A. A., 282

Belokrinitskaya, Tatiana, ix

Belozerov, S. E., 248, 250, 254

Belyaev [Belaev], Yu. K., 125, 278, 281

Berezin, Feliks Aleksandrovich [F. A.], 278,

280, 281

Berg, 44

Bergman, S., 213

Bermant, A. F., 2

Bernal, 175

Bernoulli, Daniel, 29

Bernoulli, Jacob [Jacques], 112

Bernshteın [Bernstein], S. N., 40, 48, 59,

64, 71, 109, 112, 114, 247, 251, 252,

254, 259, 261

Bernstein, J., 199

Bers, Lipman, 226, 227, 229

Berstein, I., 170, 177

Besicovitch, A. S., 27

Bespamyatnykh, N. D., 248, 254

Besprozvannyı, Moiseı Izrailevich, 76

Bessel, 157

Bettelheim, 238

Betti, 177

Bickford, 111

INDEX OF NAMES 289

Bieberbach, L., 6

Bierman, K. R., 9, 31

Bing, R. H., 230

Birkhoff, G. D., 109, 130

Birkhoff, Garrett, 82

Bishop, Errett, 179, 187–196

Bityutskov, V. I., 19, 20, 125

Boas, R., 262

Bobynin, Viktor Viktorovich, 255

Bogolyubov, A. N. [O. M.], 246, 250, 253,

256, 260

Bogolyubov, N. N., 108, 109, 130, 251, 261

Bogomolov, 44, 47

Bogomolov, Fedya, 281

Bogoyavlenskii, O. I., 282

Bohr, 229

Boks, 61

Bokshteın, M. F., 167, 174

Bol′, P. G., 248, 251, 260, 261

Bolibruch, A. A., 282

Bol′shev, L. N., 125

Boltyanskiı [Boltyanski], V. G., 174, 178,

229

Bonner, Elena, 99

Borel, A., 206, 207, 225

Borel, E., 104, 109, 114, 194, 225, 274

Born, 133

Borodin, A. I., 246, 253

Borodin, A. M., 282

Borovkov, A. A., 125

Bosse, Yura, 95

Bourbaki, Nicolas, 57, 62, 101, 121

Bozhich, E. S., 125

Brahe, Tycho, 56

Brashman, Nikolai Dmitrievich, 72, 273,

274

Brezhnev, 208, 220, 240, 247

Bridges, Douglas, 187, 190, 193, 195, 196

Brouwer, L. E. J., 17, 19, 109, 191–194

Brouwers, Maryse, ix

Brudno, A. L., 63

Buchgolz, N. N., 48

Buchstab, A. D., 202

Buchstaber, V. M., 282

Bugaev, N. A., 35, 273

Bugaev, N. V., 53, 254

Bugaı, A. S., 246, 253

Bukanova, Asya Aleksandrovna, 149

Bukharin, Nikolaı Ivanovich, 93

Bulinskiı, A. V., 125

Bunyakovskiı, 27

Burgers, 130

Burns, D., 279, 283

Burstin [Byurstin], Ts., 251, 261

Busemann, 11

Bychkov, V. P., 250, 256

Byushgens, Sergeı Sergeevich, 83

Calderon, 113

290 INDEX OF NAMES

Cantor, Georg, 17, 26

Caratheodory, 104, 109, 119

Carleson, 62, 112, 113

Carnot, L., 2

Cartan, Elie, 88–90, 98

Cartan, H., 225

Cartier, P., 225, 282

Casselman, W., 210

Cauchy, 61, 118

Cavalieri, Bonaventura, 4

Chaplygin, Sergeı Aleksandrovich, 49,

250–252, 258, 260, 261

Charlier, 109, 130

Chasles, 1

Chazy, 109, 130

Chebotarev, N. G., 250–252, 256, 261

Chebyshev, Pafnutiı L′vovich, 2, 25, 27, 29,

64, 105, 109, 112, 114, 247, 254, 255,

260

Chentsov, N. N., 278

Chern, 174

Chernavskiı, A. V., 232, 237, 241

Chernov, V. M., 223

Chevalley, 161, 225

Chogoshvili, Georgiı Sever′yanovich, 137,

159, 160, 250, 258

Chukovskiı, Korneı, 96

Church, 188

Cogdell, Jim, 199

Cohen, 64

Conway, 240

Cornu, Mademoiselle, 139, 140

Courant, 11

Cramer, 115

Daniel, 220

Danilov, V. I., 282

Darboux, G., 276

Davidovich, B. M., 242

Davydov, A. Yu, 273

de Finetti, Bruno, 114

de la Vallee-Poussin, C. J., 6, 78, 252, 259

de Moivre, 112

de Rham, 109

Dehn, 159

Delaunay, 83

Deligne, P., 225, 282

Delone [Delaunay], Boris Nicholaevich, 1, 9,

10, 27, 56, 83–85, 88, 90, 106, 203, 217,

247, 249, 250, 254, 256, 277, 279

Delone, Nikolaı Borisovich, 85

Demidov, Sergeı Sergeevich, 35, 52, 53, 94,

195, 231, 245, 248, 252, 254, 258

Demidovich, B. P., 279

Demuth, Osvald, 195, 196

Denjoy, A., 252, 258

Depman, I. Ya., 247, 248, 254

Dieudonne, J., 25, 225

Dinnik, A. N., 24

INDEX OF NAMES 291

Dionysius, 137

Dixmier, 225

Dizman, A., 203

Dmitriev, N. A., 125

Dobrokhotov, S. Yu., 282

Dobrovol′skiı, V. A., 248, 250, 256, 260

Dobrushin, R. L., viii, 23, 125, 278, 281

Dolgachev, Igor, ix

Dolin, I. G., 52

Dorodnitsin, A. A., 251

Dorofeeva, A. V., 252, 256, 257

Dostoevskii, 204

Douady, 225

Dragomirov, General, 85

Drinfeld, V., 207, 281

Dubnov, Semen Markovich, 88

Dubnov, Yakov Semenovich, 87–89

duBois-Reymond, 62

Dubrovin, B. A., viii, 281

Dubuque, Petr Evgen′evich, 76

Dugac [Dyugak], P., 53, 252, 258

Dulac, 72

Duren, Peter, vii, 283

Dvoıchenkov, A. N., 125

Dynin, A., 214

Dynkin, E. B., 23, 73, 91, 125, 155, 156,

161, 217, 279–282

Dzhavadov, M. A., 250, 257

Dzincheradze, 4

Efendiev, M. R., 250, 257

Efimov, Nikolaı Vladimirovich, 97, 213,

222, 228, 229, 280, 281

Efimova, E. N., 243

Egorov, Dmitriı Fedorovich, 8, 13, 35–37,

40, 41, 44–47, 52, 53, 70, 89, 246, 249,

251–253, 256, 257, 259, 261, 273–276

Egorov, Yu. V., 278, 281

Eichenwald, Tat′yana Yul′evna, 75, 79

Eiges, Ekaterina Romanovna, 80

Eilenberg, S., 163, 168, 170, 171, 177, 178

Einstein, 65, 110, 143, 229

Eisenstein, 210

Enduraev, A., 234

Engels, F., 32

Ermakov, Vasiliı Petrovich, 248, 260

Ermolaeva, N. S., 252, 258

Erokhin, V. D., 125, 144

Ertel, G., 9

Esenin-Vol′pin, Aleksandr Sergeevich, viii,

80, 83, 95, 98, 219–222, 235, 281

Etkin, V., 242

Euclid, 93, 94

Euler, Leonhard, 2, 4, 5, 8–10, 12, 20, 27,

29, 31, 94, 252, 258

Faddeev, L. D., viii, 210

Fage, M. K., 125

Faust, 106

Favard, 138, 140, 146

292 INDEX OF NAMES

Fedorov, V. S., 37

Fedoseev, P. N., 30

Feigin, B. L., 282, 283

Fersman, A. E., 48

Feynman, 142

Fikhtengol′ts [Fikhtengolts], G. M., 2, 27

Finikov [Finnikov], Sergeı Pavlovich, 86,

89, 90, 252, 258, 274, 277, 279

Finkelberg, M. V., 283

Fisher, 109

Flammarion, 130

Florenskiı, P. V., 258

Florenskiı [Florensky], P. A., 35, 47, 53,

252, 258

Fokker, 110

Fomin, Sergı Vasil′evich [Serezha], 67, 94,

95, 125, 137, 246, 253

Fontaine, J.-M., 283

Ford, Charles, 45, 53

Fourier, 110

Fradkin, M., 242

Fradlin, B. N., 77, 250, 260

Frank-Kamenetski, 239

Frankl′, F. I., 248, 254

Frechet, Maurice, 11, 12, 31, 104, 132, 139,

252, 256, 258

Frege, 120

Freidlin, M. I., 278, 281

Freiman, G., 201

Frenkel, 44

Fridman, A. A., 27

Frisch, K., 105

Frolova, Iraida, 89

Fuchs, B. A., 213

Fuchs, D. B. [Dmitry], viii, 135, 213, 220,

230, 232, 235, 239, 241, 242, 278, 281,

283

Fuss, P. N., 4

Gabovich, Ya. A., 250, 256

Gagaev, B. M., 250, 257

Gaidukov, E., 235

Galchenkova, R. I., 247, 254

Gal′perin, G. A., 125

Galpern, S. A., 279

Gannibal, Abram Petrovich, 85

Gel′fand, Izrael Moiseevich, 57–59, 68, 69,

95, 96, 121, 125, 151, 152, 204,

208–211, 215, 217, 219–223, 232, 239,

241, 242, 273, 274, 277, 279–281

Gelfand, S. I., 199, 281, 282

Gel′fond, A. O., 11, 18, 46, 49, 50, 52, 57,

201, 202, 217, 251, 257, 261, 277, 279

Gericke, Helmuth, 53

Giever, J. B., 173, 178

Gikhman, I. I., 250, 257

Gindikin, S. G., 205, 211, 227, 281, 282

Ginzburg, V., 242, 282

Girsanov, I. V., 278

INDEX OF NAMES 293

Givental, A., 214, 215

Gladkov, 144

Glagolev, Nil Aleksandrovich, 250, 260

Glazunov, 60

Glivenko, V. I., 18, 40, 70, 115, 253

Gluck, Herman, 226

Gnedenko, B. V., 1, 6, 53, 105, 125, 245,

248–250, 253, 254, 256, 257

Gnedenko, V. I., 246

Godel, K., 19, 64, 120

Godunov, S. K., 278

Gogol, 71

Gokhberg, A., 242

Gokhman, V. S., 4, 5

Goldbach, C., 4, 5, 59, 252, 258

Golod, E., 204, 214, 217

Golovin, Igor Nikolaevich, 95

Golovin, Oleg Nikolaevich, 95, 249, 256

Golubev, V. V., 8, 13, 37, 52, 149, 248, 250,

260, 274

Gonchar, A. A., 130, 278

Gorbunov, N. P., 48

Gordeev, Dima, 137, 235

Gordevskiı, D. Z., 248, 260

Gorin, E. A., 281

Gorky [Gorki], 133, 224

Goursat, E., 78

Graev, M. I., 73, 209, 210

Grant, Hardy, 33, 73, 195, 197

Grassmann, 98

Grave, Dmitriı Aleksandrovich, 60, 250,

251, 260, 261, 277

Grigorchuk, R. I., 282

Grigor′yan, A. T., 9

Grodzenskiı, S. Ya., 247, 260

Gromov, Nikolaı Alekseevich, 100

Grothendieck, 109, 225

Guckenheimer, J., 282

Gul′, I. M., 78

Gurevich, 44

Gurevich, Boris Lazarevich, 95

Gusein-Zade, S. M., 282

Guseınov, A. I., 250, 257

Gussov, V. V., 8, 32, 248, 254

Gyunter, N. M., 27, 247, 254

Habicht, W., 10, 31

Hadamard, J., 109, 150, 151, 225, 276

Hamilton, 98

Hardy, 1, 109, 112, 113

Harish-Chandra, 207

Hausdorff, F., 13, 15, 37, 109, 119, 120, 276

Havin, Viktor, ix

Hecke, 161

Heijenoort, 120

Helemskii, A. Ya., 283

Hellinger, 118

Helmholtz, 105

Henkin, 227

294 INDEX OF NAMES

Heyting, A., 19, 120, 188, 196

Hilbert, David, 11, 12, 17, 32, 59, 60, 101,

104, 107–109, 113, 116, 117, 123–125,

152, 161, 192, 204, 205, 217, 252, 256,

257

Hilton, Peter, 220

Hindemith, P., 105

Hirsch, G., 25

Hitler, 142, 200, 202, 238

Hopf, H., 162, 169, 171, 174, 176

Howe, Roger, 199

Hu, 173

Hunt, 112

Idel′son, I. I., 29

Il′yashenko, Yu. S., 72

Ilyashenko, Yu., 282

Ilyashenko, Yu. S., 243, 282

Ioffe, A. F., 273

Ivanovskiı, L., 218

Ivashev-Musatov, O. S., 125

Ivernova, 56

Ivrii, V. Ya., 282

Jackson, 208

Jacquet-Langlands, 209

Javadov, Maksud Alievich, 93

Joel, J. S., 100

Jorgenson, Jay, 199

Josephus, 30

Kaazik, Yu. Ya., 256

Kagan, Veniamin (Benjamin) Fedorovich,

1, 19, 60, 77, 79, 80, 85–90, 98, 149,

175, 178, 250, 260, 277, 279

Kahler, 204

Kainer, Z., 98

Kalashnikov, 56

Kalinin, Mikhail Ivanovich, 149, 150

Kalmar, 188

Kaloshin, V. A., 282

Kamenev, 49

Kanevski, B., 242

Kantorovich, L. V., 108, 120, 133

Kanunov, N. F., 248, 250, 260

Kapitsa, P. L., 26, 53, 273

Kapitsa, P. S., 49

Karryev, A. A., 250, 256

Katok, A., 282

Katok, S. B., 282

Kazaryan, M. E., 282

Kazhdan, D., 199, 220

Kazik, Yu. Ya., 250

Keldysh, L. V. [Lyudmila], 40, 58, 63, 115,

230–232, 236, 241, 274, 276

Keldysh, Leonid, 231

Keldysh, M. V. [Mstislav], 24, 58, 59, 68,

99, 208, 209, 231, 251, 261, 279

Keldysh, Vsevolod, 231

Keller, B., 282

INDEX OF NAMES 295

Khalilov, Z. I., 250, 257

Khavinson, Dmitry, ix

Khayyam, Omar, 78, 93, 94

Khinchin, Aleksandr Yakovlevich, 13, 18,

35, 37, 40, 49, 50, 52, 56, 57, 61, 65,

71, 105, 110, 112, 114, 122, 217, 248,

254, 274, 276, 277, 279, 280

Khlodovsky, I. N., 40

Khodasevich, 133

Khomyakov, Maxim, 232, 237

Khovanskii, A. G., viii, ix, 281–283

Khristianovich, 82

Khrushchev [Khrushev], 50, 144, 225, 227,

247

Khvorostin, G. V., 45

Kikoin, Isaac, 233, 239, 240

Kim, Yu., 235

Kirillov, A. A., viii, 73, 209, 217, 232, 239,

240, 278, 280–282

Kiro, S. N. [M.], 248, 254

Kiselev, 22

Kishkina, Zoya Mikhaılovna, 83, 279

Klado, T. N., 31

Kleene, 188

Klein, Felix, 1, 11, 12, 98, 225

Klumova, I., 240

Koblitz, Neil, 178

Kochin, Nikolaı Evgrafovich, 250, 251, 260

Kochina [Polubarinova-Kochina], P. Ya.,

248, 250, 251, 255, 257, 260

Kodaira, K., 204

Kogan, 236

Kolbasina-Chernova, O. E., 223

Kolchin, 144

Kolman, Ernest, 44–48, 50–52

Kolmogorov, Andreı Nikolaevich, 1, 2, 11,

13, 14, 17, 19, 20, 22–26, 33, 40, 48–50,

57, 58, 60, 62, 63, 65–68, 71, 80–82, 95,

97, 98, 101–125, 127, 129–136, 142,

143, 148–153, 185, 186, 194, 217, 223,

226, 229, 230, 232–237, 239, 240, 248,

251, 254, 257, 261, 273, 274, 276, 277,

279–281

Kolmogorova, Anna Dmitrievna, 149, 151

Koltsov, 44

Komarov, 150

Komatu, A., 168

Kondurar′, A. T., 125

Konstantinov, N. N., viii, 242, 282

Kontsevich, M. L., 281, 282

Kopelevich, Yu. Kh., 31

Korkin, Aleksandr Nikolaevich, 247, 260

Korneıchuk, 96

Korobov, N. M., 201

Koshlyakov, N. S., 32

Kosmodem′yanskiı, A. A., 248, 260

296 INDEX OF NAMES

Kotel′nikov, Aleksandr Petrovich, 76, 94,

250, 260

Kotel′nikov, Petr Ivanovich, 76

Kotel′nikov, Vladimir Aleksandrovich, 76

Koval′chuk, L. V., 253, 257

Kovalevskaya, Sof′ya Vasil′evna, 248, 254,

255, 260

Kozlov, M. V., 125, 137

Kozlov, V. V., 126

Kozlovskiı, I. M., 116

Kramar, Feodosiı Dement′evich, 92

Kravchuk, M. F., 248, 253, 254, 257

Kravets, T. P., 29

Krein, M. G., 115

Kreines, M. A., 58, 279

Krichever, I., 282

Kronrod, A. S., 56, 65, 68, 69, 72, 73, 139

Kropotov, A. I., 247, 260

Krug, Karl Adol′fovich, 75

Krulikovskiı, N. N., 250, 257

Kruzhkov, S. A., 278

Krylov, A. N., 49, 250–252, 257, 258, 261

Krylov [Krilov], Nikolaı Mitrofanovich

[Mikola Mitrofanovich], 40, 108, 109,

130, 250, 251, 260, 261

Krylov, N. V., 281

Krzhizhanovsky, G. M., 48

Kudryavtsev, L. D., 249, 256

Kukolevskiı, I. I., 21

Kurosh, Aleksandr Gennadievich, 23, 57,

82, 95, 173, 174, 217, 246, 249, 250,

253, 279

Kushner, B. A., 179, 182, 196

Kushnirenko, A., 232

Kuzichev, A. S., 183

Kuznetsov, P. I., 53, 249, 257

Lachaud, G., 282

Lafforgue, L., 282

Lagrange, 2, 61

Lakhtin, L. K., 252, 259

Landau, E., 11, 104

Landau, L., 129, 130

Landis, E. M., 55

Lando, S. K., 282

Lange, F. G., 31

Lapitski, Isaac, 236

Lapko, A. F., 53, 249, 258

Laplace, 60, 66, 90, 110, 112

Lappo-Danilevskiı, I. A., 29

Laptev, B. L., 10, 77, 250, 258, 260

Larishvili, Tamaz, 160

Lavrent′ev [Lavrentiev], M. A., 8–10, 24,

40, 50, 58, 230, 250, 252, 259, 274, 276,

277, 279, 280

Lavut, 202

Lebedev, N. A., 249, 258

Lebesgue, Henri, 13, 15, 16, 47, 63, 70, 104,

109, 274, 276

INDEX OF NAMES 297

Leıbman, E. B., 248, 254

Leibniz, 109, 118

Leites, D. A., 282

Lenin, 105, 202, 223

Lenskii, Erlen Viktorovich, 148

Leonov, V. P., 126, 144

Leontovich, E. A., 40

Leontovich, M. A., 110, 133

Leray, 138, 225

LeVeque, Bill, vii

Levin, A., 53

Levin, L. A., 126, 226, 234, 282

Levin, M. L., 279

Levinson, 96

Levy, P., 104, 114

Lidov, M. L., 278

Lie, 99

Lifschitz, Vladimir, 190

Lifshits, I. M., 71

Lifshitz, A., 242

Likhtenbaum, L. M., 18

Linnik, Yu. V., 201, 251, 261

Littlewood, 113

Litvinov, G. L., 282

Lobachevskiı, N. I., 4, 5, 10, 76, 77, 88,

105, 175, 178

Lofthouse, A., 127

Lokutsievskiı, O. V., 169

Lomonosov, 24

Lomonosov, Vitya, 281

Lopshitz, A. M., 250, 260

Losev, A. S., 282

Lozinskiı, S. M., 249, 258

Lukashenko, T., 234

Lukina, T. A., 31

Lunts, A. L., 56, 72

Lupanov, O. B., 143, 278

Lusis, A. Ya., 250, 258

Luzin [Lusin], Nikolaı Nikolaevich, 1–6,

9–17, 23, 24, 27, 32, 35, 37, 38, 40, 41,

46–53, 57–59, 61–63, 65, 70, 75, 79–82,

89, 103–105, 109, 112, 133, 230, 231,

249–253, 256–259, 261, 275–277, 279,

280

Lyapunov, A. A., vii, 58, 61, 63–65, 68, 72,

120, 279

Lyapunov, Aleksandr Mikhaılovich, 27, 29,

247, 255, 260

Lykova, 130

Lysenko, 51, 64, 133, 229, 277

Lysenkovshchina, 277

Lyusternik, Lazar′ Aronovich, 11, 18, 26,

37, 46, 48–50, 52, 53, 58, 59, 70, 157,

249, 251, 258, 274, 276, 277

Mac Lane, 168, 170–172

Mach, 44

MacPherson, R., 282

Magalanobis, 147

298 INDEX OF NAMES

Magnarazde, L. G., 250, 258

Maimin, Z., 234

Maıstrov, L. E., 248, 251, 254

Makar-Limanov, L., 239

Malgrange, 142

Malikov, F., 242

Mal′tsev, Anatoliı Ivanovich, 90, 126, 251,

261, 274

Manin, Yu. I., 25, 73, 211, 214, 217, 232,

242, 278, 280–282

Mann, Thomas, 106

Marchevskiı, M. N., 248, 255

Marchuk, G. I., 251

Marcinkiewicz, 113

Margulis, G., 220, 281, 282

Markov, Andreı Andreevich, Junior,

179–188, 190, 191, 194–196, 217, 226,

232, 279

Markov, Andreı Andreevich, Senior, 23, 27,

29, 30, 110, 112, 114, 181, 247, 251,

260, 261

Markov, Andreı Andreevich, the fourth, 181

Markov, Andreı Andreevich, the third, 181

Markush, I. I., 247, 250, 255, 260

Markushevich, A. I., 1, 2, 17, 25, 246, 247,

253, 255, 279, 280

Martin-Lof, Per, 126, 137

Martynov, A. V., 126

Marx, Galina Ivanovna, 151

Marx, K., 32

Maslov, V. P., 223, 241, 243, 282

Matveev, R. F., 126

Matyasevich, Yu., 233

Medvedev, F. A., 11, 26, 52, 53, 247, 248,

252, 255, 257, 259

Medvedev, Yu. T., 126

Mehlman, Mark, 196

Mel′nikov, I. G., 31

Melnikov, M., 281

Menger, 108

Men′shov, D. E., 6, 9, 13, 23, 24, 35, 37, 40,

52, 57, 58, 61–63, 68, 69, 71, 72, 112,

113, 232, 249, 258, 274, 276, 279, 280

Mergelyan, S. N., 279

Meshalkin, L. D., 116, 126, 144, 278

Metner, 30

Michurin, 51

Migdal, 239

Mikhaılov, G. K., 248, 255

Mikhalevich, V. S., 126

Mikulinskiı, S., 245, 253

Millionshchikov, M. D., 126

Milnor, J., 135, 173, 178, 218

Minding, F. F., 274

Minkowski, 204

Minlos, R. A., 278, 281

Mitropolskiı, Yu. A. [O.], 250, 260

Mityagin, B. S., 214, 278, 281

INDEX OF NAMES 299

Mlodzeevskiı [Mlodzeyevsky], Boleslav

Kornelievich, 8, 13, 35, 41, 89, 248,

252, 255, 260, 274

Moishezon, B., 208

Molchanov, S. A., 281

Molin, Fedor Eduardovich, 248, 250, 251,

260, 261

Molotov, 200

Monin, A. S., 126

Moore, 118

Mordell, 211

Mordukhaı-Boltovskiı, Dmitriı Dmitrievich,

91, 248, 255

Morozov, V. V., 250, 257

Morris, Bonnie F., 195

Morrison, S., 105

Moser, J., 110

Mozart, 106

Muchnik, B. A. [Bella], 241, 242

Muskhelishvili, Nikolaı Ivanovich, 250, 260

Myshkis, A. D., 248, 260

Nadirashvili, N., 282

Nagornyı, N. M., 185–187, 196

Naimark, 209

Nalbandyan, M. B., 248, 255

Naumov, I. A., 250, 258, 260

Nechaev, S. K., 282

Nekrasov, P. A., 52, 273

Nemytskiı, V. V., 260

Neptune, 148

Neretin, Yu., 282

Nerode, 191, 192, 194

Nesmeyanov, Aleksandr N., 22

Newton, 2, 108, 110, 118, 133

Nikoladze, Georgiı Nikolaevich, 250, 260

Nikol′skiı, S. M., 126, 175, 274

Nikolskiı, Nikolai, ix

Nikulin, V. V., 282

Nomizu, K., 86

Norden, Aleksandr Petrovic, 85–87, 95,

250, 257

Norden, August, 85

Novikov, P. S., 40, 57, 58, 61, 63, 64, 68,

202, 230, 251, 261, 274, 276, 279

Novikov, Sergei Petrovich, viii, 73, 79, 135,

217–219, 222, 223, 230–232, 242, 273,

278, 280, 282

Novoselov, 140

Obukhov, A. M., 126

Ochan, Yu. S., 126

Ofman, Yu. P., 126

Ogibalov, 222

Oleınik, Ol′ga Aleksandrovna, 10, 91, 279,

280

Olshanski, G. A., 282

Onishchik, A. L., 278, 281

Orevkov, S. Yu., 282

Orlov, 56

300 INDEX OF NAMES

Orlova, Marina, 232

Orlovskiı, Ernst, 99

Osipov, Yu., 234

Ostraya, R. A., 235

Ostrogradskiı, 27

Ostwald, Wilhelm, 107

Ozhigova, E. P., 31, 247–249, 255, 259, 260

Palamodov, V. P., 217, 278, 281

Paley, 113

Palis, J., 282

Panchishkin, A., 281

Pankratova, A. M., 22, 23

Pannwitz, E., 169, 177

Panov, M. I., 196, 197

Parkhomenko, A. S., 230, 241, 279

Parshin, A. N., 53, 252, 258, 282

Peixoto, Maurice, 148

Penkov, B., 126

Penrose, 227

Pentkovskiı, M. V., 250, 259

Perepelkin, Dmitriı Ivanovich, 90, 99

Perepelkina, Anastasiya Nikolaevna, 90, 99

Pesin, Moiseı Il′ich, 95

Peters, Klaus, 211

Peterson, Karl Mikhaılovich, 89, 254, 274

Petrov, A. A., 126

Petrov, G. I., 181

Petrov-Vodkin, K. S., 26

Petrova, S. S., 249, 256

Petrovskii [Petrovsky], Ivan Georgievich,

24, 57–59, 68–72, 111, 140, 141, 156,

168, 217, 220, 228, 229, 232, 233, 239,

251, 261, 274, 277, 279–282

Phillips, E., 53

Piatetski-Shapiro, Gregory, 199

Piatetski-Shapiro, Ilya Iosifovich, 199, 202,

208, 211, 278, 280, 281

Picard, E., 276

Pimenov, Revol′t Ivanovich, 99, 100

Pinsker, M. S., 126

Piskunov, N. S., 82, 111

Planck, 110, 229

Plato, 179, 187, 190

Plessner, Ya. I., 59

Plucker, 90

Pogrebysskiı, I. B., 250, 257

Poincare, H., 101, 108–110, 170, 225, 276

Poisson, 112

Poletski, E., 234

Polovinkin, S. M., 53, 248, 252, 255, 258

Pontryagin, Lev Semenovich, 11, 50, 52, 57,

58, 66, 82, 97, 98, 108, 121, 157–161,

163–168, 170, 172–177, 217–219, 229,

234, 239, 240, 251, 261, 274, 279, 280

Pope John XXIII, 105

Postnikov, A. G., 9, 201

INDEX OF NAMES 301

Postnikov, Mikhail Mikhaiılovich, 91, 155,

157, 166, 169, 174–178, 217, 218, 229,

237, 249, 256

Poznyak, Eduard Genrikhovich, 92

Primrose, E., 153

Privalov, I. I., 13, 37, 40, 52, 78, 274, 277

Prokhorov, A. V., 126

Prokhorov, Yu. V., 20, 116, 126, 202, 279

Proskuryakov, I. V., 279

Prudnikov, V. E., 247, 260

Pushkin, 106, 273

Putyata, T. V., 77, 250, 260

Rabinovich, I. M., 248, 260

Radovskiı, I. M., 29

Raıkov, D. A., 45, 69

Rashevskiı, Konstantin Nikolaevich, 86

Rashevskiı, Petr Konstantinovich, 57,

86–88, 90, 93, 95, 246, 250, 253, 260,

279

Razmadze, A. M., 251, 261

Reid, Constance, 11, 32

Reizin′, L. E., 258

Rene, A., 138

Reynolds, 129

Riekstyn′sh, E. Ya., 258

Riemann, 2, 27, 76, 118, 201

Riesz, M., 113, 121

Robbins, H., 168, 177

Robinson, A., 188

Robinson, Pamela, 147

Rogov, S., 242

Rokhlin, Ida, 96

Rokhlin, Vladimir Abramovich, 96, 97, 135,

161, 166–168, 213, 217, 229, 239

Rolle, 19

Romanovskiı, V. I., 250, 251, 259, 261

Rosenblatt, Murry, 191, 194, 196

Rosenfeld [Rozenfel′d], B. A., 75, 78, 260

Rossinskiı, S. D., 248, 260

Rozanov, Yu. A., 126, 144, 278

Rozenblat-Rot, M., 126

Rozhanskaya [Rojanskaya], Yulia

Antonovna, 40, 79, 230

Rudakov, A. N., viii, 281

Russell, B., 17

Rybkin [Ribkin], G. F., 6, 93, 246

Rybko, A. N., 282

Rybnikov, K. A., 248, 255

Saccheri, 93

Sadikova-Prokhorova, S., 123

Sakharov, A. D., 99, 208

Saks, S., 61

Salem, 201

Salmon, G., 78, 83

Sandrakova, L. V., 232

Sarymsakov, T. A., 250, 259

Satake, 206

Satlin, 93

302 INDEX OF NAMES

Savich, 44

Schechtman, V. V., 283

Schlichenmaier, M., 283

Schmidt [Shmidt], Otto Yul′evich, 18, 26,

40, 42–45, 48, 49, 52, 60, 92, 130, 251,

252, 258, 262, 277

Schouten, Jan, 88, 98

Schroder, K., 9

Schumann, 148, 151

Schwartz, L., 69, 138

Schwarz, A. S., 217–219

Segal, B., 215

Segal, B. J., 49

Selberg, Atle, 199

Selivanov, N. A., 40

Seliverstov, G. A., 40

Semenov, N. N., 273

Senderov, V., 241, 242

Serganova, V., 282

Sergeev, A. G., 282

Serre, 175, 225

Sevast′yanov, B. A., 126

Shabat, B. V., 279

Shafarevich, I. R., 56, 184, 203–205, 207,

208, 211, 215, 217, 219, 222, 273, 279,

280

Shahumyan, 96

Shannon, 108, 226

Shapiro, B., 242

Shapiro, Genrikh (Heinrich) Mikhaılovich,

77, 78, 81, 94

Shapiro, Zorya Yakovlevna, 95

Shatunovskiı, 118

Shchadenko, 96

Shekhtman, B. V., 283

Shen, Alexander, 241, 242

Shenitzer, Abe, ix, 33, 73, 195, 197

Shenkar, A., 200

Shereshevskiı, 140

Shevelev, F. Ya., 248, 255

Shibanov, A. S., 247, 260

Shields, Allen L., vii, 53

Shikhanovich, Yu., 239

Shilov, Georgiı Evgen′evich, 95, 96, 246,

250, 253, 259, 279

Shimada, N., 168, 177

Shirokov, Aleksandr Petrovich, 86

Shirokov, Petr Alekseevich, 86, 260

Shirshov, 227, 228, 230

Shiryaev, A. N., 126, 278

Shlosman, S. B., 282, 283

Shmidov, F. I., 126

Shnirel′man [Schnirelman], L. G., 11, 40,

46, 48–50, 52, 108, 252, 259, 274, 276,

277

Shomar, 9

Shtan′ko, M. E., 232

Shtokalo, I. Z., 246, 247, 249, 250, 253, 259

INDEX OF NAMES 303

Shtuka, 207

Shubin, M. A., viii, 281, 283

Sibirskiı, K. S., 250, 256

Siegel, 200, 203–206

Sierpinski, W., 13, 15, 252, 259

Silakov, V. D., 248, 255

Sinaı, Yakov Grigor′evich, viii, 80, 122, 126,

148, 214, 217, 232, 242, 278, 280–282

Singer, 219

Sintsov, Dmitriı Matveevich, 248, 250, 255,

260

Sinyavski, 220

Sirazhdinov, S. Kh., 126, 250, 259

Sitnikov, K. A., 60

Sklerenko, V., 234

Skvortsov, V. A., 235

Slutskiı, E. E., 251, 262

Smale, S., 148, 282

Smirnov, Vladimir Ivanovich, 1, 2, 6,

27–33, 60, 249–251, 258, 259, 262

Smirnov, Yu. M., 237

Smith, D. E., 93

Smolukhovskiı, 110

Sobolev, S. L., 48, 49, 58, 60, 129, 251, 279,

280

Sokhotskiı, Yu. V., 255

Sokolov, Yuriı Dmitrievich, 250, 260

Solzhenitsin, A. I., 30, 232, 237

Sonin, Nikolaı Yaklovevich, 32, 247, 260

Sorkin, Yu., 203

Sossinsky, A. B., viii, 139, 223, 224, 278,

279, 281–283

Sossinsky, Bronislav, 223

Sossinsky, Vladimir, 224

Spanier, E., 170, 177

Spielrein, Jan [Yan] Nikolaevich, 75, 76, 78

Stalin, 2, 6, 21, 22, 24, 26, 46, 50, 51, 96,

130, 133, 199, 202, 204, 221, 224–226,

238, 247, 278

Statulyavichus, V. A., 250, 259

Steenrod, N., 165, 166, 168, 177, 178, 219

Steklov, Vladimir Andreevich, 27, 247, 250,

254, 255, 260

Stepanov, S. Ya., 248, 255

Stepanov, Vyacheslav Vasil′evich, 2, 23–25,

37, 40, 53, 58, 65, 78, 79, 82, 104, 249,

250, 256, 259, 260, 274, 276, 277, 279

Stieltjes, 118

Stienstra, J., 282

Struik, 98

Styazhkin, N. I., 248, 255

Sushkevich, A. K., 248, 255

Suslin, A. A., 62

Suslin, M. Ya., 10, 13–17, 37, 52, 104, 274,

276

Suvorova, 140

Sverdlov, Y. M., 42

Svetlova, N., 232

304 INDEX OF NAMES

Tamarkin, J. L., 27

Tarski, 188

Taylor, 109, 111

Tchaikovsky, 31

Tikhomirov, V. M., viii, 13, 14, 101, 123,

126, 144, 253, 273

Tikhonov, A. N., 58, 185, 274, 280

Timiryazev, A. K., 18

Tits, 142

Todd, 219

Tolstoı Lev, 82

Tonelli, 65

Torelli, 207

Troelstra, Anne, 194, 196

Trotsky, Leon, 226

Tsfasman, M., 282

Tsikalo [Tsykalo], A. L., 247, 260

Tsinger, V. Ya., 273, 274

Tsygan, B., 214, 215

Tukhachevskiı, 83

Tulaikov, A. N., 126

Tumarkin, L. A., 279

Turgenev, Ivan, 224

Turkin, Vladimir Konstantinovich, 76

Tyurin, Andrei, 232

Tyurina, G. N., 218, 222, 230, 232

Uehara, H., 168, 177

Uglanov, A., 234

Ulyanov, P. L., 23

Urbanskiı, V. M., 250, 252, 256, 259, 260

Urumov, Andrej, ix

Urumova, Bojana, ix

Uryson, Pavel Samuilovich, 11, 12, 31, 40,

56, 66, 80, 103, 139, 140, 251, 252, 256,

262, 274, 276, 277, 280

Uspenskiı [Uspensky], Vladimir

Andreevich, 16, 27, 122, 126, 182, 192,

195, 197, 278, 280

Uspenskiı [Uspensky] Yakov Viktorovich

[James], 85

Uzawa, Tohru, 199

Vainberg, B. R., 281

Vaintrop, Arkady, 241, 242

van Dalen, Dirk, 194, 196

van der Waerden, B. L., 10

Van Est, 220

van Heijenoort, John, 226

Vasil′ev, Nikolaı Aleksandrovich, 1, 47, 248,

251, 260, 262

Vassiliev, N. B., viii, 239

Vassiliev, V. A., 282

Vavilov, N. I., 5

Vavilov, S. I., 2, 5, 22, 24, 29, 110

Veblen, 227

Vekua, I. N., 250, 251, 260

Veniaminov, V. I., 37, 40

Venkov, B. A., 262

Verchenko, I. Ya., 65, 126

INDEX OF NAMES 305

Vernadskiı [Vernadsky], V. I., 44, 49, 252,

259

Vershik, A. M., 282

Vigodskiı, M. Ya., 246

Vilenkin, N. Ya., 73

Vinberg, E. B., 205, 217, 278

Vinogradov, A. M. [Sasha], 217, 218, 230,

241, 278, 282

Vinogradov, I. M., 40, 48, 59, 215, 216,

240, 250–252, 259, 262

Vinokurov, V. G., 126

Virasoro, 220

Viro, O. Ya., 243

Vishik, M. I., 73

Vitushkin, A. G., 65, 278

Vivaldi, 148

Vladimirov, V. S., 247, 250, 251, 260

Vlasov, Aleksei Konstantinovich, 121

Vleduts, S. G., 282

Volkov, V. A., 252, 259

Volosov, 130

Vol′pin, Nadezhda Davydovna, 80

von Karman, 109, 111

von Mises, R., 18, 109, 115

von Neumann, J., 104, 117, 226

Vondracek, 88

Vovk, V. G., 126

Vygodskiı [Vygodsky], Mark Yakovlevich,

2, 42, 44, 91, 92, 248, 253, 255

Wagner, Richard, 150

Wagner, Viktor Vladimirovich, 88–90

Wallach, N., 210

Weil, A., 1, 225

Wentzell, A. D., 278, 281

Weyl, Hermann, 17, 19, 104, 112, 150, 194

Whitehead, J. H. C., 162, 166–168, 170,

175–178

Whitney, H., 162, 167, 177

Whittaker, 130

Wiener, 59, 66, 110, 226

Wilce, Alexander, 196

Winter, E., 6, 9

Wolf, 105

Yaglom, Akiva Moiseevich [Kika], 97–99,

126, 281

Yaglom, Isaak Moiseevich [Isya], 97–99

Yanenko, Nikolaı Nikolaevich, 87

Yanovskaya, Sof′ya Aleksandrovna [Sonya],

2, 8, 18, 22, 23, 42, 44, 45, 48, 91, 92,

149, 155, 156, 182, 183, 279

Yashchenko, I. V., 282

Yoran, Naomi, 195

Young, L., 62, 276

Yudina, P. F., 30

Yunovich, B. M., 127

Yushkevich [Youschkevitch], Adolf

Pavlovich, 1, 4, 14, 22, 32, 33, 49, 52,

306 INDEX OF NAMES

53, 91–94, 231, 245–247, 249, 251–253,

257–259

Yushkevich, Aleksandr, 23

Yushkevich, Pavel Solomonovich, 92

Zahorski, 113

Zaidenvar, I., 44, 45, 52

Zalgaller, Viktor Abramovich, 99

Zarhin, Yu. G., 282

Zasukhin, V. N., 127

Zdravkovska, Smilka, vii, xi, 283

Zeeman, 241

Zeıliger (Seeliger), D. N., 77

Zelevinsky, A. V., 241, 282

Zel′manov, A. L., 78

Zeno, 20

Zermelo, 57

Zeuthen, 1

Zhautykov, O. A., 250, 259

Zhelezina, I. I., 90, 99

Zhotilov, Georiı, 89

Zhukovskiı [Joukowsky], Nikolai Egorovich,

41, 72, 77, 248, 251, 252, 259, 260, 262,

273, 274

Zhurbenko, I. G., 127

Zilber, J. A., 178

Zilberman, A., 235, 236

Zinoviev, 49

Zolotarev, Egor Ivanovich, 247, 253, 260

Zolotarev, V. M., 127

Zorich, V. A., 278, 280

Zorn, 62

Zvonkin, A., 234

Zygmund, 113

HMATH/6.RAMS on the Web www.ams.org

This volume contains articles on the history of Soviet mathe-matics, many of which are personal accounts by mathematicians who witnessed and contributed to the turbulent and glorious years of Moscow mathematics. The articles in the book focus on mathematical developments in that era, the personal lives of Russian mathematicians, and political events that shaped the course of scientific work in the Soviet Union. Important contribu-tions include an article about Luzin and his school, based in part on documents that were released only after perestroika, and two articles on Kolmogorov. The volume concludes with annotated bibliographies in English and Russian for further reading.

The revised edition is appended by an article of Tikhomirov, which provides an update and general overview of 20th-century Moscow mathematics, and it also includes an Index of Names.

This book should appeal to mathematicians, historians, and anyone else interested in Soviet mathematical history.

For additional information and updates on this book, visit

www.ams.org/bookpages/hmath-6