PROCEEDINGS INTERNATIONAL CONGRESS MATHEMATICIANS

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PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS Cambridge, Massachusetts, U. S. A. 1950 Under the Auspices of the AMERICAN MATHEMATICAL SOCIETY EDITORIAL COMMITTEE LAWRENCE M. GRAVES PAUL A. SMITH EINAR HILLE OSCAR ZARISKI Copyright, AMBRICANMATHBMATICAL SOCIETY, 1952
HOST Harvard University CO-HOSTS American Academy of Arts and Sciences Boston College Boston University Massachusetts Institute of Technology Tufts College
Page 1: PROCEEDINGS OF THE INTERNATIONAL CO
Page 7: HONORARY PRESIDENTS G U I D O C A S
Page 10 and 11: COMMITTEES OF THE CONGRESS G. B. PR
Page 12 and 13: COMMITTEES OF THE CONGRESS COMMITTE
Page 14 and 15: DONORS Northwestern National Life I
Page 16 and 17: AUSTRIA BELGIUM BRAZIL LIST OF DELE
Page 18 and 19: 10 LIST OF DELEGATES EGYPT ENGLAND
Page 20 and 21: 12 LIST OF DELEGATES JACQUES HADAMA
Page 22 and 23: 'Ï4 LIST OF DELEGATES University o
Page 24 and 25: 16 LIST OF DELEGATES KENKICHI IWASA
Page 26 and 27: 18 LIST OF DELEGATES PANAMA PERU Un
Page 28 and 29: 20 LIST OF DELEGATES TURKEY Univers
Page 30 and 31: 22 LIST OF DELEGATES ARIZONA Tallad
Page 32 and 33: 24 LIST OF DELEGATES University of
Page 34 and 35: 26 LIST OF DELEGATES United States
Page 36 and 37: 28 LIST OF DELEGATES FRANCIS REGAN
Page 38 and 39: 30 LIST OF DELEGATES United States
Page 40 and 41: 32 LIST OF DELEGATES Bryn Mawr Coll
Page 42 and 43: 34 LIST OF DELEGATES University of
Page 44 and 45: AABOE, Asger H., Adjunkt, Cand. Mag
Page 46 and 47: 38 LIST OF MEMBERS BACON, Harold Ma
Page 48 and 49: 40 LIST OF MEMBERS BLACK, Harold Ly
Page 50 and 51: 42 LIST OF MEMBERS BRUDNO, Charlott
Page 52 and 53:
44 LIST OF MEMBERS CHERRY, Thomas M
Page 54 and 55:
46 LIST OF MEMBERS CREMER, Hubert H
Page 56 and 57:
48 LIST OF MEMBERS DUDMAN, John Alm
Page 58 and 59:
50 LIST OF MEMBERS Mrs. Fenchel Mr.
Page 60 and 61:
52 LIST OF MEMBERS GEPHART, F. L.,
Page 62 and 63:
54 LIST OF MEMBERS GRIFFIN, Frank L
Page 64 and 65:
56 Miss S. Jean Herriot Mr. James W
Page 66 and 67:
58 LIST OF MEMBERS INZINGER, Rudolf
Page 68 and 69:
60 LIST OF MEMBERS KINCAID, Wilfred
Page 70 and 71:
62 LIST OF MEMBERS LARGUIER, Rev. E
Page 72 and 73:
64 LIST OF MEMBERS LUCE, Robert Dun
Page 74 and 75:
66 LIST OF MEMBERS MAY, Lida B., Pr
Page 76 and 77:
68 LIST OF MEMBERS MOUSINHO, Maria
Page 78 and 79:
70 LIST OF MEMBERS OXTOBY, John C,
Page 80 and 81:
72 LIST OF MEMBERS PRESTON, Glenn W
Page 82 and 83:
74 LIST OF MEMBERS RIES, Henry Fran
Page 84 and 85:
76 LIST OF MEMBERS SANCHEZ-DIAZ, Ra
Page 86 and 87:
78 LIST OF MEMBERS SHAPIRO, George
Page 88 and 89:
80 LIST OF MEMBERS STARKE, Emory Po
Page 90 and 91:
82 LIST OF MEMBERS TOMBER, Marvin L
Page 92 and 93:
84 LIST OF MEMBERS WALLACE, Andrew
Page 94 and 95:
86 LIST OF MEMBERS WILLIAMSON, Char
Page 96 and 97:
PROGRAM WEDNESDAY, AUGUST 30 ADDRES
Page 98 and 99:
90 PROGRAM THURSDAY, AUGUST 31 10:1
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92 PROGRAM THURSDAY, AUGUST 31 2:15
Page 102 and 103:
94 PROGRAM D. ELLIS, University of
Page 104 and 105:
96 PROGRAM J. B. ROSSER, Institute
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98 PROGRAM FRIDAY, SEPTEMBER 1 2:15
Page 108 and 109:
100 PROGRAM M. GUT, University of Z
Page 110 and 111:
102 PROGRAM W. R. WASOW, Institute
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104 PROGRAM SATURDAY, SEPTEMBER 2 -
Page 114 and 115:
106 PROGRAM S. CHOWLA and A. L. WHI
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108 PROGRAM MONDAY, SEPTEMBER 4 9:0
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110 PROGRAM J. C. OXTOBY, Bryn Mawr
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112 PROGRAM TUESDAY, SEPTEMBER 5 AD
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114 PROGRAM TUESDAY, SEPTEMBER 5 2
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116 PROGRAM A. GLEASON, Harvard Uni
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118 PROGRAM WEDNESDAY, SEPTEMBER 6
Page 128 and 129:
120 PROGRAM V. L. KLEE, JR., Univer
Page 130 and 131:
122 SECRETARY'S REPORT Kline, Unive
Page 132 and 133:
OPENING ADDRESS OF PROFESSOR OSWALD
Page 134 and 135:
126 SECRETARY'S REPORT Immediately
Page 136 and 137:
128 HARALD BOHR some of the most im
Page 138 and 139:
130 HARALD BOHR To the proof in its
Page 140 and 141:
132 HARALD BOHR integration i.e., t
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134 HARALD BOHR congratulate you mo
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136 SECRETARY'S REPORT Stated Addre
Page 146 and 147:
138 SECRETARY'S REPORT Hurewicz, S.
Page 148 and 149:
140 SECRETARY'S REPORT Hull, J. R.
Page 150 and 151:
142 DETLEV BRONK in rare goods, the
Page 152 and 153:
144 DETLEV BRONX of this, we know t
Page 155:
STATED ADDRESSES
Page 158 and 159:
ON NULL-SETS IN HARMONIC ANALYSIS A
Page 160 and 161:
PROBLÈMES GLOBAUX DANS LA THÉORIE
Page 162 and 163:
154 HENRI CARTAN 2. Domaines d'holo
Page 164 and 165:
156 HENRI CARTAN 3. Etude globale d
Page 166 and 167:
158 HENRI CARTAN une ancienne conje
Page 168 and 169:
160 v HENRI CARTAN réelles donnée
Page 170 and 171:
162 HENRICARTAN En fait, dès 1941,
Page 172 and 173:
164 . HENRI CARTAN f(zi, z2), unifo
Page 174 and 175:
RECENT PROGRESS IN THE GEOMETRY OF
Page 176 and 177:
168' H. DAVENPORT depending only on
Page 178 and 179:
170 H. DAVENPORT stated by Minkowsk
Page 180 and 181:
172 H. DAVENPORT integer for all va
Page 182 and 183:
174 H. DAVENPORT and had given this
Page 184 and 185:
176 KURT GÖDEL In such a coordinat
Page 186 and 187:
178 KURT GÖDEL (where hih is posit
Page 188 and 189:
180 • KURT GÖDEL lines of matter
Page 190 and 191:
THE TOPOLOGICAL INVARIANTS OF ALGEB
Page 192 and 193:
184 ' * , • W, V. D, HODGE that t
Page 194 and 195:
186 W. V. D. HODGE of K2m . Its bou
Page 196 and 197:
188 W. V. D. HODGE The effective p-
Page 198 and 199:
190 W. V. D. HODGE the Jacobian mat
Page 200 and 201:
192 W. V. D. HODGE 15. , Proc. Lond
Page 202 and 203:
194 HEINZ HOPF Man kann diesen Unte
Page 204 and 205:
196 HEINZ HOPP als Basisvektoren in
Page 206 and 207:
198 HEINZ HOPF zu beweisen, versagt
Page 208 and 209:
200 HEINZ HOPF A'(3) > 1 und A'(7)
Page 210 and 211:
202 HEINZ HOPF der Frage nach der E
Page 212 and 213:
ERGODIC THEORY S. KAKUTANI This add
Page 214 and 215:
SHOCK INTERACTION AND ITS MATHEMATI
Page 216 and 217:
208 J. F. RITT their derivatives, w
Page 218 and 219:
210 A. ROME Theon says that he has
Page 220 and 221:
212 A. ROME can we use a modern tab
Page 222 and 223:
214 A. ROME the sought days and hou
Page 224 and 225:
216 A. ROME distance; and finally,
Page 226 and 227:
218 A. ROME of corrections, one val
Page 228 and 229:
THÉORIE DES NOYAUX 1 LAURENT SCHWA
Page 230 and 231:
222 LAURENT SCHWARTZ Y n X X m asso
Page 232 and 233:
224 LAURENT SCHWARTZ 1°. (3D)
Page 234 and 235:
226 LAURENT SCHWARTZ Les noyaux des
Page 236 and 237:
228 LAURENT SCHWARTZ (et $(X) doit
Page 238 and 239:
230 LAURENT SCHWARTZ donne lieu à
Page 240 and 241:
232 ABRAHAM WALD experimentation wi
Page 242 and 243:
234 ABRAHAM WALD that the decision
Page 244 and 245:
236 ABRAHAM WALD decision rules dis
Page 246 and 247:
238 ABRAHAM WALD obtained by Krylof
Page 248 and 249:
240 ABRAHAM WALD (8.1) z. = l o g ^
Page 250 and 251:
242 ' ABRAHAM WALD As a last exampl
Page 252 and 253:
NUMBER-THEORY AND ALGEBRAIC GEOMETR
Page 254 and 255:
246 HASSLER WHITNEY 2. The general
Page 256 and 257:
248 HASSLER WHITNEY (3.3) | * r |*
Page 258 and 259:
250 HASSLER WHITNEY Moreover, using
Page 260 and 261:
252 HASSLER WHITNEY A "simple" cont
Page 262 and 263:
254 v HASSLER WHITNEY schitz r-chai
Page 264 and 265:
256 HASSLER WHITNEY the differentia
Page 266 and 267:
THE CULTURAL BASIS OF MATHEMATICS 1
Page 268 and 269:
260 R. L. WILDER punch to the nose?
Page 270 and 271:
262 R. L. WILDER Chinese practiced
Page 272 and 273:
264 R. L. WILDER Some evidence perh
Page 274 and 275:
266 R. L. WILDER relationships betw
Page 276 and 277:
26S R. L. WILDER point for mathemat
Page 278 and 279:
270 R. L. WILDER matical. In the ea
Page 280 and 281:
THE FUNDAMENTAL IDEAS OF ABSTRACT A
Page 283 and 284:
SECTION I. ALGEBRA AND THEORY OF NU
Page 285 and 286:
BINARY MODULARY CONGRUENCE GROUPS 2
Page 287 and 288:
BINARY MODULARY CONGRUENCE GROUPS 2
Page 289 and 290:
FAREY SECTIONS IN THE FIELDS OF GAU
Page 291 and 292:
FAREY SECTIONS 283 a combination of
Page 293 and 294:
FAREY SECTIONS 285 Theorem C is unc
Page 295 and 296:
SIEVE-METHOD IN PRIME NUMBER THEORY
Page 297 and 298:
Page 299 and 300:
Page 301 and 302:
THEORY OF NUMBERS AND FORMS ON THE
Page 303 and 304:
THEORY OF NUMBERS AND FORMS 295 An
Page 305 and 306:
THEORY OF NUMBERS AND FORMS 297 PRO
Page 307 and 308:
THEORY OF NUMBERS AND FORMS 299 EXP
Page 309 and 310:
THEORY OF NUMBERS AND FORMS 301 THE
Page 311 and 312:
GROUPS AND UNIVERSAL ALGEBRA SIMILA
Page 313 and 314:
GROUPS AND UNIVERSAL ALGEBRA 305 sa
Page 315 and 316:
GROUPS AND UNIVERSAL ALGEBRA 307 va
Page 317 and 318:
GROUPS AND UNIVERSAL ALGEBRA 309 an
Page 319 and 320:
GROUPS AND UNIVERSAL ALGEBRA 311 re
Page 321 and 322:
GROUPS AND UNIVERSAL ALGEBRA 313 TH
Page 323 and 324:
GROUPS AND UNIVERSAL ALGEBRA 315 ON
Page 325 and 326:
RINGS AND ALGEBRAS 317 (A, A, R) =
Page 327 and 328:
RINGS AND ALGEBRAS 319 ON THE THEOR
Page 329 and 330:
RINGS AND ALGEBRAS 321 simple Jorda
Page 331 and 332:
ARITHMETIC ALGEBRA 323 &i2/i + •
Page 333 and 334:
VECTOR SPACES AND MATRICES VARIÉT
Page 335 and 336:
VECTOR SPACES AND MATRICES 327 CYCL
Page 337 and 338:
VECTOR SPACES AND MATRICES 329 {s +
Page 339 and 340:
THEORY OF FIELDS AND EQUATIONS 331
Page 341 and 342:
THEORY OF FIELDS AND EQUATIONS 333
Page 343:
max mm, um Z. / / Z) ai3ri(x)sj(y)
Page 347 and 348:
SECTION IL ANALYSIS A SURVEY OF THE
Page 349 and 350:
THEORY OF ALMOST PERIODIC FUNCTIONS
Page 351 and 352:
Page 353 and 354:
Page 355 and 356:
Page 357 and 358:
QUELQUES THÉORÈMES D'UNICITÉ 1 S
Page 359 and 360:
QUELQUES THÉORÈMES D'UNICITÉ 351
Page 361 and 362:
Page 363 and 364:
Page 365 and 366:
ADDITIVE ALGEBRAIC NUMBER THEORY 35
Page 367 and 368:
Page 369 and 370:
Page 371 and 372:
ON VISUALIZATION OF DOMAINS IN THE
Page 373 and 374:
(2.1a) * = Zi, (2.1b) Zi = Z2, VISU
Page 375 and 376:
VISUALIZATION OF DOMAINS IN THEORY
Page 377 and 378:
Page 379 and 380:
VISUALIZAITON OF DOMAINS IN THEORY
Page 381 and 382:
Page 383 and 384:
FUNCTIONS OP REAL VARIABLES 375 MET
Page 385 and 386:
FUNCTIONS OF BEAL VARIABLES 377 THE
Page 387 and 388:
FUNCTIONS OF REAL VARIABLES 379 Sec
Page 389 and 390:
FUNCTIONS OF REAL VARIABLES 381 Pn
Page 391 and 392:
FUNCTIONS OF REAL VARIABLES 383 DIF
Page 393 and 394:
FUNCTIONS OF REAL VARIABLES 385 and
Page 395 and 396:
FUNCTIONS OF REAL VARIABLES 387 THE
Page 397 and 398:
FUNCTIONS OF COMPLEX VARIABLES ON A
Page 399 and 400:
FUNCTIONS OF COMPLEX VARIABLES 391
Page 401 and 402:
Page 403 and 404:
Page 405 and 406:
Page 407 and 408:
Page 409 and 410:
Page 411 and 412:
FUNCTIONS OP COMPLEX VARIABLES 403
Page 413 and 414:
Page 415 and 416:
Page 417 and 418:
THEORY OF SERIES AND SUMMABILITY 40
Page 419 and 420:
THEORY OF SERIES AND SUMM ABILITY 4
Page 421 and 422:
Page 423 and 424:
Page 425 and 426:
Page 427 and 428:
Page 429 and 430:
Page 431 and 432:
Page 433 and 434:
Page 435 and 436:
DIFFERENTIAL AND INTEGRAL EQUATIONS
Page 437 and 438:
Page 439 and 440:
Page 441 and 442:
Page 443 and 444:
Page 445 and 446:
Page 447 and 448:
Page 449 and 450:
Page 451 and 452:
Page 453 and 454:
Page 455 and 456:
Page 457 and 458:
FUNCTIONAL ANALYSIS 449 APPROXIMATE
Page 459 and 460:
FUNCTIONAL ANALYSIS 451 (i) iterati
Page 461 and 462:
FUNCTIONAL ANALYSIS 453 in a bounde
Page 463 and 464:
FUNCTIONAL ANALYSIS 455 a single po
Page 465 and 466:
FUNCTIONAL ANALYSIS 457 linear isom
Page 467 and 468:
FUNCTIONAL ANALYSIS 459 A multiplic
Page 469 and 470:
FUNCTIONAL ANALYSIS 461 et par O (S
Page 471 and 472:
FUNCTIONAL ANALYSIS 463 inverse of
Page 473 and 474:
FUNCTIONAL ANALYSIS 465 space, ther
Page 475 and 476:
FUNCTIONAL ANALYSIS 467 functions a
Page 477 and 478:
FUNCTIONAL ANALYSIS 469 In each of
Page 479 and 480:
FUNCTIONAL ANALYSIS 471 ON VARIATIO
Page 481 and 482:
FUNCTIONAL ANALYSIS 473 In this cas
Page 483 and 484:
FUNCTIONAL ANALYSIS 475 wählen, we
Page 485 and 486:
MEASURE THEORY ON HAUSDORFF MEASURE
Page 487:
MEASURE THEORY 479 {xn} with 5^*»i
Page 491 and 492:
SECTION III. GEOMETRY AND TOPOLOGY
Page 493 and 494:
INTEGRAL GEOMETRY IN GENERAL SPACES
Page 495 and 496:
Page 497 and 498:
Page 499 and 500:
ARITHMETICAL PROPERTIES OF ALGEBRAI
Page 501 and 502:
ARITHMETICAL PROPERTIES OF ALGEBRAI
Page 503 and 504:
GEOMETRY 495 4. The sets C(r) are a
Page 505 and 506:
GEOMETRY 497 Elliptic planes map in
Page 507 and 508:
(v) If S is a cube, then/r(£) = r-
Page 509 and 510:
DIFFERENTIAL GEOMETRY 501 genie at
Page 511 and 512:
DIFFERENTIAL GEOMETRY 503 vertex v
Page 513 and 514:
DIFFERENTIAL GEOMETRY 505 THE CONVE
Page 515 and 516:
DIFFERENTIAL GEOMETRY 507 dätische
Page 517 and 518:
DIFFERENTIAL GEOMETRY 509 SUR CERTA
Page 519 and 520:
ALGEBRAIC GEOMETRY SOPRA ALCUNE SUP
Page 521 and 522:
ALGEBRAIC GEOMETRY 513 {a f x) n ~
Page 523 and 524:
ALGEBRAIC GEOMETRY 515 SYSTEMS OF S
Page 525 and 526:
ALGEBRAIC GEOMETRY 517 folds, then
Page 527 and 528:
ALGEBRAIC GEOMETRY 519 The matrix C
Page 529 and 530:
ALGEBRAIC TOPOLOGY IRREDUCIBLE RING
Page 531 and 532:
ALGEBRAIC TOPOLOGY 523 R which are
Page 533 and 534:
ALGEBRAIC TOPOLOGY 525 In order tha
Page 535 and 536:
ALGEBRAIC TOPOLOGY 527 This result
Page 537 and 538:
ALGEBRAIC TOPOLOGY 529 near b,+i. S
Page 539 and 540:
ALGEBRAIC TOPOLOGY 531 Moreover, co
Page 541 and 542:
FUNCTION SPACES AND POINT SET TOPOL
Page 543 and 544:
Page 545 and 546:
Page 547:
Page 551 and 552:
SECTION IV. PROBABILITY AND STATIST
Page 553 and 554:
MATHEMATICS OP FACTORIAL DESIGNS 54
Page 555 and 556:
MATHEMATICS OF FACTORIAL DESIGNS 54
Page 557 and 558:
PROCESSUS À LA FOIS STATIONNAIRES
Page 559 and 560:
PROCESSUS STATIONNAIRES ET MARKOVIE
Page 561 and 562:
PROCESSUS STATIONNAIRES ET MARKOVIE
Page 563 and 564:
ON SOME ASPECTS OF STATISTICAL INFE
Page 565 and 566:
Page 567 and 568:
Page 569 and 570:
Page 571 and 572:
Page 573 and 574:
PROBABILITY A HISTORY OF PROBABILIT
Page 575 and 576:
PROBABILITY 567 and let Q be that n
Page 577 and 578:
PROBABILITY 569 ELEMENTS ALÉATOIRE
Page 579 and 580:
PROBABILITY 571 being variables of
Page 581 and 582:
PROBABILITY 573 difficulties, and t
Page 583 and 584:
PROBABILITY 575 information passes
Page 585 and 586:
INTERPOLATION NEW DEVELOPMENTS IN I
Page 587 and 588:
INTERPOLATION 579 polation. If ei,
Page 589 and 590:
STATISTICS 581 If £ and rj are two
Page 591 and 592:
STATISTICS 583 where Kt is the stan
Page 593 and 594:
STATISTICS 585 Case Bi : 22 = 1. Ca
Page 595 and 596:
STATISTICS 587 chosen by means of a
Page 597:
ECONOMICS 589 quantità dei due ben
Page 601 and 602:
SECTION V. MATHEMATICAL PHYSICS AND
Page 603 and 604:
THE REFRACTIVE INDEX OF AN IONISED
Page 605 and 606:
THE REFRACTIVE INDEX OF AN IONISED
Page 607 and 608:
TUE BEFfìACTIVE INDEX OF AN IONISE
Page 609 and 610:
DEVELOPMENTS AT THE CONFLUENCE OF A
Page 611 and 612:
ANALYTIC BOUNDARY CONDITIONS 603 be
Page 613 and 614:
ANALYTIC BOUNDARY CONDITIONS 605 Th
Page 615 and 616:
STOPÜNGSTHEOPIE DER SPEKTPÀLZEP L
Page 617 and 618:
STORÜNGSTHEORIE DER SPEKTRALZERLEG
Page 619 and 620:
ST0EÜNGSTI1E0R1E DER SPEKTRALZERLE
Page 621 and 622:
STÖRUNG STHEORIE DER SPEKTRALZERLE
Page 623 and 624:
MECHANICS 615 ROTORS IN SPHERICAL P
Page 625 and 626:
MECHANICS: ELASTICITY AND PLASTICIT
Page 627 and 628:
Page 629 and 630:
Page 631 and 632:
Page 633 and 634:
MECHANICS : HYDRODYNAMICS ON THE ST
Page 635 and 636:
MECHANICS: HYDRODYNAMICS 627 faces.
Page 637 and 638:
MECHANICS: HYDRODYNAMICS 629 POHLHA
Page 639 and 640:
MECHANICS: HYDRODYNAMICS 631 the di
Page 641 and 642:
MECHANICS: HYDRODYNAMICS 633 is, th
Page 643 and 644:
MECHANICS: HYDRODYNAMICS 635 Physic
Page 645 and 646:
MECHANICS: HYDRODYNAMICS 637 unifor
Page 647 and 648:
MECHANICS: HYDRODYNAMICS 639 stages
Page 649 and 650:
MECHANICS: HYDRODYNAMICS 641 partic
Page 651 and 652:
MECHANICS: HYDRODYNAMICS 643 a) The
Page 653 and 654:
MATHEMATICAL PHYSICS 645 grals of m
Page 655 and 656:
OPTICS AND ELECTROMAGNETIC THEORY 6
Page 657 and 658:
OPTICS AND ELECTROMAGNETIC THEORY 6
Page 659 and 660:
MATHEMATICAL PHYSICS: RELATIVITY, G
Page 661 and 662:
RELATIVITY, GRAVITATION, AND FIELD
Page 663 and 664:
RELATIVITY, GRAVITATION, AND FIELD
Page 665 and 666:
NUMERICAL METHODS ALMOST-TRIANGULAR
Page 667 and 668:
NUMERICAL METHODS 659 3. G. BOULANG
Page 669 and 670:
NUMERICAL METHODS 661 initial v unt
Page 671 and 672:
NUMERICAL METHODS 663 easily comput
Page 673 and 674:
NUMERICAL METHODS 665 tion of certa
Page 675 and 676:
PARTIAL DIFFERENTIAL EQUATIONS LE P
Page 677 and 678:
PARTIAL DIFFERENTIAL EQUATIONS 669'
Page 679 and 680:
PARTIAL DIFFERENTIAL EQUATIONS 671
Page 681 and 682:
MISCELLANEOUS 673
Page 683 and 684:
MISCELLANEOUS 675 If in the embryon
Page 685:
SECTION VI LOGIC AND PHILOSOPHY
Page 688 and 689:
680 S. C. KLEENE (freie Wahlfolge).
Page 690 and 691:
682 S. C. KLEENE dependent variable
Page 692 and 693:
684 S. C. KLEENE correlated number.
Page 694 and 695:
ON THE APPLICATION OF SYMBOLIC LOGI
Page 696 and 697:
688 ABRAHAM ROBINSON K holds, then
Page 698 and 699:
690 ABRAHAM ROBINSON sistent, it po
Page 700 and 701:
692 ABRAHAM ROBINSON certain type o
Page 702 and 703:
694. ABRAHAM • ROBINSON the more
Page 704 and 705:
696 TH. SKOLEM and we have the axio
Page 706 and 707:
698 TH. SKOLEM form xA(x) G D for a
Page 708 and 709:
700 TH. SKOLEM where (x, y) G S is
Page 710 and 711:
702 TH. SKOLEM by F. B. Fitch, and
Page 712 and 713:
704 TH. SKOLEM sistency of formaliz
Page 714 and 715:
706 ^ ALFRED TARSKI formed by a set
Page 716 and 717:
708 ALFRED TARSKI A symbol of the f
Page 718 and 719:
710 ALFRED TARSKI where each of the
Page 720 and 721:
712 ALFRED TARSKI For instance, the
Page 722 and 723:
714 ALFRED TARSKI is a topological
Page 724 and 725:
716 ALFRED TARSKI o be represented
Page 726 and 727:
718 ALFRED TARSKI direction whose p
Page 728 and 729:
720 ALFRED TARSKI Arithmetical clas
Page 730 and 731:
722 SECTION VI. LOGIC AND PHILOSOPH
Page 732 and 733:
Page 734 and 735:
Page 736 and 737:
Page 738 and 739:
Page 740 and 741:
Page 742 and 743:
Page 745:
SECTION VII HISTORY AND EDUCATION
Page 748 and 749:
740 G. PÓLYA 27 = 1 + 2 X 13 35 =1
Page 750 and 751:
742 G. PÖLYA the length of the per
Page 752 and 753:
744 G. PÓLYA 2 4 6 / i \ i ^ i # _
Page 754 and 755:
746 G. PÓLYA I cannot here enter i
Page 756 and 757:
HISTORY THE FOREMOST TEXTBOOK OF MO
Page 758 and 759:
750 SECTION VII. HISTORY AND EDUCAT
Page 760 and 761:
EDUCATION MATHEMATICS FOR THE MILLI
Page 762 and 763:
Page 764 and 765:
Page 766 and 767:
Page 768 and 769:
Page 770 and 771:
762 TABLE OF CONTENTS Zariski, O.,
Page 773 and 774:
ABBOTT, J. C. 303 ABELLANAS, P. 325
Page 775 and 776:
KARUSII, W. 663 KASNER, E. 505 KELL
Page 777:
WALSH, J. E. 582 WALSH, J. L. 405 W
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