1207:
76:
1623:
20:
62:
Originally, the mathematicians who gathered at the cafe would write down the problems and equations directly on the cafe's marble table tops, but these would be erased at the end of each day, and so the record of the preceding discussions would be lost. The idea for the book was most likely
157:. The book—a collection of solved, unsolved, and even probably unsolvable problems—could be borrowed by any of the guests of the café. Solving any of the problems was rewarded with prizes, with the most difficult and challenging problems having expensive prizes (during the
84:
297:
149:
tops, so they could write in pencil, directly on the table, during their discussions. To keep the results from being lost, and after becoming annoyed with their writing directly on the table tops,
218:
1706:
1686:
1011:
1593:
1286:
1316:
842:
804:
736:
189:
210:
contributed a total of 43 problems, 24 of them as a single author and 19 together with Stefan Banach. Banach himself wrote 14, plus another 11 with
542:
527:
408:
328:
153:'s wife provided the mathematicians with a large notebook, which was used for writing the problems and answers and eventually became known as the
792:
1276:
1642:
1359:
824:
1156:
1281:
1004:
961:
928:
1711:
1701:
1464:
1296:
852:
1696:
1301:
1231:
552:
290:
1519:
248:
1191:
1171:
1603:
1354:
1161:
893:
886:
268:
124:
48:
1681:
1256:
997:
981:
1266:
373:
1529:
1151:
832:
483:
418:
67:'s wife, Łucja Banach. Stefan or Łucja Banach purchased a large notebook and left it with the proprietor of the cafe.
1494:
1226:
1046:
354:
1271:
1608:
1429:
1206:
1196:
1691:
1509:
1136:
869:
786:
232:
184:
1261:
1166:
1146:
1116:
1071:
591:(see problems 156 and 157, The Scottish Book. Later Fellow and Bursar at Emmanuel College, Cambridge, England)
252:
1369:
1101:
1424:
1241:
813:
763:
523:
1051:
1041:
1374:
1306:
1291:
1251:
1081:
1061:
1056:
479:
434:
52:
474:
463:
459:
1514:
1484:
1439:
1086:
169:
96:
1141:
1076:
548:
1598:
1504:
1449:
1444:
1414:
1404:
918:
453:
404:
394:
367:
348:
228:
128:
588:
1524:
1379:
1311:
1176:
1096:
132:
675:
493:
308:
910:- A new Scottish Book at the original café following the tradition of the original Scottish Book
862:
444:
414:
207:
198:
Prospekt. The original cafe was renovated in May 2014 and contains a copy of the
Scottish Book.
173:
1409:
1399:
1349:
1344:
957:
924:
901:
577:
573:
567:
513:
489:
211:
301:
1588:
1454:
1419:
1389:
1186:
1121:
1036:
873:
711:
667:
563:
517:
503:
449:
424:
344:
280:
195:
180:, who was presented with the live goose in a ceremony that was broadcast throughout Poland.
158:
136:
56:
971:
938:
1578:
1479:
1469:
1434:
1394:
1384:
1111:
1028:
967:
934:
897:
858:
846:
836:
828:
796:
740:
388:
334:
286:
104:
88:
75:
40:
1131:
168:
For problem 153, which was later recognized as being closely related to Stefan Banach's "
773:(sent by Stan Ulam from Los Alamos to Professor Copson in Edinburgh on January 28, 1958)
652:
1474:
1181:
594:
558:
538:
533:
438:
359:
224:
221:, several Russian mathematicians visited the city and also added problems to the book.
142:
28:
1675:
1627:
1573:
1459:
953:
428:
314:
236:
150:
64:
24:
679:
1550:
1339:
469:
324:
162:
1066:
391:(died in unclear circumstances in 1939 after being called up for military service)
947:
1236:
583:
398:
382:
318:
55:
for jotting down problems meant to be solved. The notebook was named after the "
1364:
1334:
1091:
247:
After World War II, an
English translation annotated by Ulam was published by
1657:
1644:
378:
363:
338:
177:
92:
19:
176:
offered the prize of a live goose. This problem was solved only in 1972 by
1583:
1246:
1106:
718:. School of Mathematics and Statistics University of St Andrews, Scotland
381:(went to study in the US in 1938; his family who stayed were murdered in
79:
The building of the
Scottish cafe where the book was recorded and stored
1545:
671:
507:
497:
235:
of matches within a matchbox, a problem motivated by Banach's habit of
120:
214:
and Mazur. Ulam wrote 40 problems and additional 15 ones with others.
1126:
146:
83:
907:
878:
870:
Photograph and description of the
Scottish café (Kawiarnia Szkocka)
1555:
82:
74:
18:
623:
1565:
1326:
1218:
1020:
227:
contributed the last problem on 31 May 1941, shortly before the
112:
993:
917:
Kałuża, Roman (1996). Ann
Kostant and Wojbor Woyczyński (ed.).
1205:
95:
with the promised "live goose", the prize for having solved
506:(had no paper to record his results after 1941, killed by
255:
revived the tradition of the
Scottish book by initiating
123:) where, in the 1930s and 1940s, mathematicians from the
989:
441:; his manuscripts, entrusted to his parents, were lost)
206:
A total of 193 problems were written down in the book.
267:
The following mathematicians were associated with the
949:
The
Scottish Book: Mathematics from the Scottish Café
47:) was a thick notebook used by mathematicians of the
920:
Through a reporter's eyes: The life of Stefan Banach
1564:
1538:
1493:
1325:
1217:
1027:
812:, English version of Scottish book, archived from
576:(left Poland for the US in 1939, worked on the
861: (archived April 28, 2018), an article by
526:(house burned by Nazis in 1944, worked in the
251:in 1957. After World War II, Steinhaus at the
1005:
231:; this problem involved a question about the
8:
976:(Includes selected papers presented at the
716:The MacTutor History of Mathematics archive
541:(spent World War II in hiding, teaching in
1012:
998:
990:
624:"Scottish Book: Lviv's mathematical relic"
202:Problems contributed by individual authors
16:Math problem notebook in Lwów (1930s–1941)
617:
615:
613:
611:
145:recounts that the tables of the café had
900: (archived April 28, 2018) (page in
646:
644:
23:Part of the Scottish Book with notes of
1707:Education in Poland during World War II
1687:Education in the Second Polish Republic
607:
1495:
1287:Monastery and church of St. Onuphrius
7:
793:Adam Mickiewicz University in Poznań
651:Visser, Jan; Visser, Muriel (2003).
183:The café building used to house the
165:), such as a bottle of fine brandy.
879:Review of Roman Kaluza’s 1996 book
821:(typescript of the English version)
366:to Lwów in 1935 but left again for
894:The New Scottish Book in PDF files
831: (archived April 28, 2018) at
14:
1360:Cemetery of the Defenders of Lwów
843:Manuscript of Scottish book (PDF)
737:Manuscript of Scottish book (PDF)
229:German attack on the Soviet Union
1622:
1621:
1297:Church of the Purification, Lviv
1192:Lvov–Sandomierz Offensive (1944)
956:. pp. xiii+268 (2 plates).
946:Mauldin, R. Daniel, ed. (1981).
327:(imprisoned for working in the
849: (archived April 28, 2018)
839: (archived April 28, 2018)
743: (archived April 28, 2018)
622:Raikhel, Yuri (January 2010).
401:during the occupation of Lwów)
370:in 1936 under the Nazi threat)
249:Los Alamos National Laboratory
1:
1302:Church of the Transfiguration
887:American Mathematical Monthly
597:(emigrated to the US in 1940)
543:illegal underground education
528:Underground Warsaw University
409:Underground Warsaw University
329:Underground Warsaw University
1282:Church of St. Mary Magdalene
982:North Texas State University
904:, with unarchived PDF links)
298:ru:Бермант, Анисим Фёдорович
194:at the street address of 27
1465:Theatre of Opera and Ballet
1172:Massacre of Lwów professors
1157:Lwów–Warsaw school of logic
1152:Secret Ukrainian University
653:"Talking about the unknown"
570:to escape Nazi persecution)
566:(later changed his name to
484:Massacre of Lviv professors
419:Massacre of Lviv professors
1728:
1267:Church of John the Baptist
1162:Lwów School of Mathematics
833:Home Page of Stefan Banach
429:persecution of his teacher
269:Lwów School of Mathematics
127:collaboratively discussed
49:Lwów School of Mathematics
1617:
1609:Pidzamche railway station
1203:
1197:Sknyliv air show disaster
984:, Denton, Tex., May 1979)
881:The Life of Stefan Banach
795:website (archived by the
553:Bełżec extermination camp
520:in 1943 to avoid capture)
321:, died of cancer in 1945)
302:Anisim Fedorovich Bermant
291:Bełżec extermination camp
219:Soviet occupation of Lwów
1604:Suburban railway station
1117:Ruthenian National House
1062:Siege by Cossacks (1655)
1057:Siege by Cossacks (1648)
803:Ulam, Stan, ed. (1958),
437:(believed killed in the
63:originally suggested by
1702:Mathematics manuscripts
1292:Church of the Dormition
1277:Church of St. Elizabeth
1257:Convent of Benedictines
1232:Cathedral of St. George
1102:Halytsko-Ruska Matytsia
1697:History of mathematics
1420:Polytechnic University
1272:Church of Mary of Snow
1211:
1082:Stauropegion Institute
825:Scottish book Web page
516:(took his life in the
496:, executed in 1942 by
374:Joseph Kampé de Fériet
108:
100:
80:
44:
32:
1658:49.83583°N 24.03250°E
1589:Intercity bus station
1485:Union of Lublin Mound
1400:Lychakivskiy Cemetery
1209:
1072:Siege by Turks (1675)
1047:Dormition Brotherhood
854:The New Scottish Book
787:Scottish book preface
701:Mauldin, ed.; Kaluza.
427:(participated in the
317:(forced to live as a
257:The New Scottish Book
253:University of Wrocław
86:
78:
59:" where it was kept.
22:
1712:Lwów in World War II
1599:Main railway station
1210:Coat of arms of Lviv
890:104 (1997), 577-579.
454:Princeton University
405:Kazimierz Kuratowski
368:Princeton University
355:Maurice René Fréchet
349:Princeton University
91:(left) acknowledges
1654: /
1460:Shevchenkivskyi Hai
1430:Metropolitan Palace
1380:King Cross Leopolis
1355:Catholic University
1247:Bridgettine Convent
1177:Lviv pogroms (1941)
980:Conference held at
480:Stanisław Ruziewicz
460:Władysław Nikliborc
435:Józef Marcinkiewicz
233:likely distribution
133:functional analysis
103:The Scottish Café (
1663:49.83583; 24.03250
1262:Church of St. Anne
1227:Armenian Cathedral
1212:
1087:Stauropegion Press
908:Lviv Scottish Book
672:10.1007/BF02763324
494:Polish underground
309:Nikolay Bogolyubov
271:or contributed to
161:and on the eve of
131:, particularly in
111:) was the café in
101:
81:
33:
1637:
1636:
1425:Lubomirski Palace
1410:Mickiewicz Square
1370:Freedom Boulevard
1345:Bandinelli Palace
1242:Bernardine Church
952:. Boston, Mass.:
806:The Scottish book
765:The Scottish Book
762:Ulam, Stanislaw.
712:"Stanislaw Mazur"
578:Manhattan project
568:Edward Marczewski
524:Wacław Sierpiński
482:(murdered in the
417:(murdered in the
395:Bronisław Knaster
347:(fled Europe for
337:(murdered in the
273:The Scottish Book
263:Associated people
129:research problems
109:Kawiarnia Szkocka
1719:
1682:Birkhäuser books
1669:
1668:
1666:
1665:
1664:
1659:
1655:
1652:
1651:
1650:
1647:
1625:
1624:
1497:
1390:Lviv High Castle
1375:Government House
1307:Dominican Church
1252:Carmelite Church
1122:Hutsul Secession
1077:Leopolis Triplex
1052:Jesuit Collegium
1042:Armenian Statute
1014:
1007:
1000:
991:
975:
942:
874:MacTutor archive
820:
819:on 28 April 2018
818:
811:
774:
772:
771:. pp. I–II.
770:
759:
753:
750:
744:
734:
728:
727:
725:
723:
708:
702:
699:
693:
690:
684:
683:
657:
648:
639:
638:
636:
634:
619:
564:Edward Szpilrajn
549:Ludwig Sternbach
518:Drohobycz Ghetto
504:Juliusz Schauder
475:Władysław Orlicz
450:John von Neumann
425:Lazar Lyusternik
345:Samuel Eilenberg
281:Pavel Alexandrov
279:P. Alexandroff (
196:Taras Shevchenko
193:
159:Great Depression
1727:
1726:
1722:
1721:
1720:
1718:
1717:
1716:
1692:History of Lviv
1672:
1671:
1662:
1660:
1656:
1653:
1648:
1645:
1643:
1641:
1640:
1638:
1633:
1613:
1560:
1534:
1520:Shevchenkivskyi
1489:
1480:Ukraina Stadium
1470:Skarbek Theatre
1440:Pharmacy Museum
1415:National Museum
1395:Lviv University
1385:Korniakt Palace
1350:Black Kamienica
1321:
1317:Latin Cathedral
1213:
1201:
1112:Ruthenian Triad
1023:
1018:
964:
945:
931:
916:
898:Wayback Machine
859:Wayback Machine
847:Wayback Machine
837:Wayback Machine
829:Wayback Machine
816:
809:
802:
797:Wayback Machine
783:
778:
777:
768:
761:
760:
756:
751:
747:
741:Wayback Machine
735:
731:
721:
719:
710:
709:
705:
700:
696:
691:
687:
655:
650:
649:
642:
632:
630:
621:
620:
609:
604:
445:Stanisław Mazur
415:Antoni Łomnicki
407:(worked in the
389:Stefan Kaczmarz
362:(returned from
335:Meier Eidelheit
287:Herman Auerbach
265:
245:
208:Stanisław Mazur
204:
187:
174:Stanisław Mazur
73:
17:
12:
11:
5:
1725:
1723:
1715:
1714:
1709:
1704:
1699:
1694:
1689:
1684:
1674:
1673:
1635:
1634:
1632:
1631:
1618:
1615:
1614:
1612:
1611:
1606:
1601:
1596:
1591:
1586:
1581:
1576:
1570:
1568:
1562:
1561:
1559:
1558:
1553:
1548:
1542:
1540:
1536:
1535:
1533:
1532:
1527:
1522:
1517:
1512:
1507:
1501:
1499:
1491:
1490:
1488:
1487:
1482:
1477:
1472:
1467:
1462:
1457:
1452:
1450:Sapieha Palace
1447:
1445:Potocki Palace
1442:
1437:
1432:
1427:
1422:
1417:
1412:
1407:
1402:
1397:
1392:
1387:
1382:
1377:
1372:
1367:
1362:
1357:
1352:
1347:
1342:
1340:Arsenal Museum
1337:
1331:
1329:
1323:
1322:
1320:
1319:
1314:
1309:
1304:
1299:
1294:
1289:
1284:
1279:
1274:
1269:
1264:
1259:
1254:
1249:
1244:
1239:
1234:
1229:
1223:
1221:
1215:
1214:
1204:
1202:
1200:
1199:
1194:
1189:
1184:
1179:
1174:
1169:
1164:
1159:
1154:
1149:
1144:
1139:
1134:
1129:
1124:
1119:
1114:
1109:
1104:
1099:
1094:
1089:
1084:
1079:
1074:
1069:
1064:
1059:
1054:
1049:
1044:
1039:
1033:
1031:
1025:
1024:
1019:
1017:
1016:
1009:
1002:
994:
988:
987:
986:
985:
962:
943:
929:
923:. Birkhäuser.
911:
905:
891:
876:
867:
866:
865:
850:
840:
822:
789:
782:
781:External links
779:
776:
775:
754:
745:
729:
703:
694:
685:
640:
606:
605:
603:
600:
599:
598:
595:Antoni Zygmund
592:
589:A J (Gus) Ward
586:
581:
574:Stanisław Ulam
571:
561:
559:Simion Stoilow
556:
546:
539:Hugo Steinhaus
536:
534:Sergei Sobolev
531:
521:
514:Józef Schreier
511:
501:
490:Stanisław Saks
487:
477:
472:
467:
457:
447:
442:
439:Katyn massacre
432:
422:
412:
402:
392:
386:
376:
371:
360:Leopold Infeld
357:
352:
342:
332:
322:
312:
305:
296:A.F. Fermant (
294:
284:
264:
261:
259:in 1945-1958.
244:
241:
225:Hugo Steinhaus
212:Stanisław Ulam
203:
200:
185:Universal Bank
143:Stanislaw Ulam
72:
69:
45:Księga Szkocka
29:Stanislaw Ulam
15:
13:
10:
9:
6:
4:
3:
2:
1724:
1713:
1710:
1708:
1705:
1703:
1700:
1698:
1695:
1693:
1690:
1688:
1685:
1683:
1680:
1679:
1677:
1670:
1667:
1630:
1629:
1620:
1619:
1616:
1610:
1607:
1605:
1602:
1600:
1597:
1595:
1592:
1590:
1587:
1585:
1582:
1580:
1577:
1575:
1572:
1571:
1569:
1567:
1563:
1557:
1554:
1552:
1549:
1547:
1544:
1543:
1541:
1537:
1531:
1528:
1526:
1523:
1521:
1518:
1516:
1513:
1511:
1508:
1506:
1503:
1502:
1500:
1498:
1492:
1486:
1483:
1481:
1478:
1476:
1473:
1471:
1468:
1466:
1463:
1461:
1458:
1456:
1455:Scottish Café
1453:
1451:
1448:
1446:
1443:
1441:
1438:
1436:
1433:
1431:
1428:
1426:
1423:
1421:
1418:
1416:
1413:
1411:
1408:
1406:
1405:Market Square
1403:
1401:
1398:
1396:
1393:
1391:
1388:
1386:
1383:
1381:
1378:
1376:
1373:
1371:
1368:
1366:
1363:
1361:
1358:
1356:
1353:
1351:
1348:
1346:
1343:
1341:
1338:
1336:
1333:
1332:
1330:
1328:
1324:
1318:
1315:
1313:
1312:Jesuit Church
1310:
1308:
1305:
1303:
1300:
1298:
1295:
1293:
1290:
1288:
1285:
1283:
1280:
1278:
1275:
1273:
1270:
1268:
1265:
1263:
1260:
1258:
1255:
1253:
1250:
1248:
1245:
1243:
1240:
1238:
1235:
1233:
1230:
1228:
1225:
1224:
1222:
1220:
1216:
1208:
1198:
1195:
1193:
1190:
1188:
1187:Lwów Uprising
1185:
1183:
1180:
1178:
1175:
1173:
1170:
1168:
1167:Battle (1939)
1165:
1163:
1160:
1158:
1155:
1153:
1150:
1148:
1147:Battle (1920)
1145:
1143:
1142:Pogrom (1918)
1140:
1138:
1137:Battle (1918)
1135:
1133:
1130:
1128:
1125:
1123:
1120:
1118:
1115:
1113:
1110:
1108:
1105:
1103:
1100:
1098:
1097:Galician Rada
1095:
1093:
1090:
1088:
1085:
1083:
1080:
1078:
1075:
1073:
1070:
1068:
1065:
1063:
1060:
1058:
1055:
1053:
1050:
1048:
1045:
1043:
1040:
1038:
1035:
1034:
1032:
1030:
1026:
1022:
1015:
1010:
1008:
1003:
1001:
996:
995:
992:
983:
979:
978:Scottish Book
973:
969:
965:
963:3-7643-3045-7
959:
955:
951:
950:
944:
940:
936:
932:
930:0-8176-3772-9
926:
922:
921:
915:
914:
912:
909:
906:
903:
899:
895:
892:
889:
888:
883:
882:
877:
875:
871:
868:
864:
860:
856:
855:
851:
848:
844:
841:
838:
834:
830:
826:
823:
815:
808:
807:
801:
800:
798:
794:
790:
788:
785:
784:
780:
767:
766:
758:
755:
752:Ulam, page=88
749:
746:
742:
738:
733:
730:
717:
713:
707:
704:
698:
695:
689:
686:
681:
677:
673:
669:
665:
661:
654:
647:
645:
641:
629:
625:
618:
616:
614:
612:
608:
601:
596:
593:
590:
587:
585:
582:
579:
575:
572:
569:
565:
562:
560:
557:
554:
550:
547:
544:
540:
537:
535:
532:
529:
525:
522:
519:
515:
512:
509:
505:
502:
499:
495:
491:
488:
485:
481:
478:
476:
473:
471:
468:
465:
461:
458:
455:
451:
448:
446:
443:
440:
436:
433:
430:
426:
423:
420:
416:
413:
410:
406:
403:
400:
396:
393:
390:
387:
384:
380:
377:
375:
372:
369:
365:
361:
358:
356:
353:
350:
346:
343:
340:
336:
333:
330:
326:
323:
320:
316:
315:Stefan Banach
313:
310:
306:
303:
299:
295:
292:
289:(murdered in
288:
285:
282:
278:
277:
276:
274:
270:
262:
260:
258:
254:
250:
242:
240:
238:
237:chain smoking
234:
230:
226:
222:
220:
215:
213:
209:
201:
199:
197:
191:
186:
181:
179:
175:
171:
170:basis problem
166:
164:
160:
156:
155:Scottish Book
152:
151:Stefan Banach
148:
144:
140:
138:
134:
130:
126:
122:
118:
114:
110:
106:
98:
94:
90:
85:
77:
70:
68:
66:
65:Stefan Banach
60:
58:
57:Scottish Café
54:
50:
46:
42:
38:
37:Scottish Book
30:
26:
25:Stefan Banach
21:
1639:
1626:
1551:Briukhovychi
1539:City Council
1530:Zaliznychnyi
1515:Lychakivskyi
1132:Lwów Eaglets
977:
948:
919:
885:
880:
853:
814:the original
805:
764:
757:
748:
732:
722:November 17,
720:. Retrieved
715:
706:
697:
692:Mauldin, ed.
688:
663:
659:
633:November 17,
631:. Retrieved
627:
492:(joined the
470:Cyril Offord
466:, died 1948)
397:(lived as a
325:Karol Borsuk
272:
266:
256:
246:
239:cigarettes.
223:
216:
205:
182:
167:
163:World War II
154:
141:
116:
102:
61:
36:
34:
1661: /
1505:Frankivskyi
1327:Attractions
1237:Boim Chapel
1182:Lwów Ghetto
584:Rolin Wavre
399:lice feeder
383:Krzemieniec
319:lice feeder
307:Bogolubov (
217:During the
188: [
125:Lwów School
97:problem 153
1676:Categories
1646:49°50′09″N
1579:Trolleybus
1525:Sykhivskyi
1365:Forum Lviv
1335:Arena Lviv
1092:Ossolineum
954:Birkhäuser
863:Roman Duda
666:(1): 5–8.
660:TechTrends
602:References
551:(taken to
452:(moved to
243:Continuity
1649:24°1′57″E
1566:Transport
1510:Halytskyi
1496:Districts
1475:Town Hall
1067:Lwów Oath
379:Marek Kac
364:Cambridge
339:Holocaust
178:Per Enflo
93:Per Enflo
1628:Category
1435:Old Town
1219:Religion
1107:Prosvita
1037:Timeline
680:62646372
510:in 1943)
456:in 1930)
431:in 1936)
385:in 1942)
351:in 1939)
341:in 1943)
137:topology
1594:Airport
1574:Tramway
1546:Vynnyky
1127:Batiars
1029:History
972:0666400
939:1392949
913:Books:
896:at the
872:at the
857:at the
845:at the
835:at the
827:at the
791:At the
739:at the
508:Gestapo
498:Gestapo
300:, i.e.
121:Ukraine
71:History
970:
960:
937:
927:
902:Polish
678:
147:marble
105:Polish
87:1972:
53:Poland
41:Polish
1556:Rudne
884:from
817:(PDF)
810:(PDF)
769:(PDF)
676:S2CID
656:(PDF)
192:]
115:(now
89:Mazur
1021:Lviv
958:ISBN
925:ISBN
724:2011
635:2011
628:День
135:and
117:Lviv
113:Lwów
35:The
27:and
1584:Bus
799:):
668:doi
172:",
51:in
1678::
968:MR
966:.
935:MR
933:.
714:.
674:.
664:47
662:.
658:.
643:^
626:.
610:^
464:pl
311:?)
304:?)
283:?)
275::
190:uk
139:.
119:,
107::
43::
1013:e
1006:t
999:v
974:.
941:.
726:.
682:.
670::
637:.
580:)
555:)
545:)
530:)
500:)
486:)
462:(
421:)
411:)
331:)
293:)
99:.
39:(
31:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.