Pearls from a lost city: the Lvov school of mathematics
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
American Mathematical Soc.
2014
[London] London Mathematical Soc. |
| Schriftenreihe: | History of mathematics
40 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027498638&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027498638&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XI, 231 S. Ill., graph. Darst., Kt. 26 cm |
| ISBN: | 9781470410766 |
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| 245 | 1 | 0 | |a Pearls from a lost city |b the Lvov school of mathematics |c Roman Duda ; translated by Daniel Davies |
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Datensatz im Suchindex
| _version_ | 1819340341747122176 |
|---|---|
| adam_text | Contents
Preface
ix
Part I. BACKGROUND
1
Chapter
1.
The University and the Polytechnic in Lvov
3
Chapter
2.
Polish Mathematics at the Turn of the Twentieth Century
7
Chapter
3.
Sierpinski s Stay at the University of Lvov
(1908-1914) 11
Chapter
4.
The University in Warsaw and Janiszewski s Program
(1915-1920) 17
Chapter
5.
World Mathematics (Active Fields in Poland) Around
1920 21
Part II. THE GOLDEN AGE: Individuals and Community
25
Chapter
6.
The Mathematical Community in Lvov after World War I
27
Chapter
7.
Mathematical Studies and Students
37
Chapter
8.
Journals, Monographs, and Congresses
43
Chapter
9.
The Popularization of Mathematics
49
Chapter
10.
Social Life (the Scottish
Café,
the Scottish Book)
55
Chapter
11.
The Polish Mathematical Society
63
Chapter
12.
Collaboration with Other Centers
67
Chapter
13.
In the Eyes of Others
69
13.1.
Stefan Banach
69
13.2.
Hugo
Steinhaus 73
13.3.
Stanisław Mazur
76
13.4.
Kazimierz Kuratowski
77
13.5.
Stanisław
Ulam
78
13.6.
Juliusz
Schauder
and Zbigniew
Lomnickí
79
13.7.
Włodzimierz Stożek
80
13.8.
Herman Auerbach
81
13.9.
Others
81
vi
CONTENTS
Part III. THE GOLDEN AGE: Achievements
83
Chapter
14.
Stefan Banach s Doctoral Thesis and Priority Claims
85
Chapter
15.
Probability Theory
91
Chapter
16.
Measure Theory
97
Chapter
17.
Game Theory: A Revelation Without Follow-up
103
Chapter
18.
Operator Theory in the
1920s 105
Chapter
19.
Methodological Audacity
109
Chapter
20.
Banach s Monograph: Polishing the Pearls
113
Chapter
21.
Operator Theory in the
1930s:
The Dazzle of Pearls
119
Chapter
22.
New Perspectives for Which Time Did Not Allow
123
22.1.
Nonlinear functional analysis
123
22.2.
The theory of partial differential equations
125
22.3.
The theory of linear topological spaces
126
22.4.
The theory of recursive functions
127
22.5.
Algebra, specifically Banach algebras
127
22.6.
Noncommutative
probability theory
128
22.7.
Graph theory
128
22.8.
Applications of mathematics
129
22.9.
Numerical analysis
130
Chapter
23.
On the Periphery
131
Part IV. OBLIVION
133
Chapter
24.
Ukrainization the Soviet Way
(1939-1941) 135
Chapter
25.
The German Occupation
(1941-1944) 141
Chapter
26.
The Expulsion of Poles
(1945-1946) 149
Part V. HISTORICAL SIGNIFICANCE
153
Chapter
27.
Chronological Overview
155
Chapter
28.
Chronology of Events as Perceived Elsewhere
165
Chapter
29.
Influence on Mathematics of the Lvov School
169
Chapter
30.
A Tentative Summary
173
Chapter
31.
Mathematics in Lvov after
1945 175
CONTENTS
vii
Part VI. LIST OF LVOV MATHEMATICIANS
177
Mathematicians Associated with Lvov
179
Part
VII.
BIBLIOGRAPHIES
193
A. Mathematical Works by Lvov Mathematicians
195
B. Personal Recollections, Surveys, and Historical Source Material
205
C. Other Mathematical Works Cited
219
List of Illustrations and Acknowledgments
225
Index of Names
227
The fame of the Polish school at
Lvov rests with the diverse and
fundamental contributions of
Polish mathematicians working
there during the interwar years.
In particular, despite material
hardship and without a notable
mathematical tradition, the
school made major contributions to what is now
called^functional analysis. The results and names
of Banach,
Kac, Kuratowski, Mazur, Nikodym,
Orjicz,
Schauder,
Sierpiński,
Steinhaus,
and
Ulam,
among others, now appear in all the standard
textbooks.
.
The vibrant
joie de vivre
and singular ambience
of Lvov s once scintillating social scene are evoca¬
tively recaptured in personal recollections. The
heyday of the famous Scottish
Café
—
unques¬
tionably the most
m
atine
m
atica
Ily
productive
cafeteria of all time
—
and its precious Scottish
Book of highly influential problems are described
in detail, revealing the special synergy of scholar¬
ship and camaraderie that permanently elevated
Polish mathematics from utter obscurity to global
prominence.
This chronicle of the Lvov school
—
its legacy and
the tumultuous historical events which defined its
lifespan
—
will appeal equally to mathematicians,
historians, or general readers seeking a cultural
and institutional overview of key aspects of twen¬
tieth-century Polish mathematics not described
anywhere else in the extant English-language
literature.
|
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| spellingShingle | Duda, Roman 1935- Pearls from a lost city the Lvov school of mathematics History of mathematics History and biography ... History of mathematics and mathematicians ... 20th century msc History and biography ... History of mathematics and mathematicians ... Biographies, obituaries, personalia, bibliographies msc History and biography ... History of mathematics and mathematicians ... Schools of mathematics msc History and biography ... History of mathematics and mathematicians ... Sociology (and profession) of mathematics msc Geschichte Mathematik Mathematics Study and teaching Ukraine Lʹviv History 20th century Mathematicians Ukraine Lʹviv Biography History and biography ... History of mathematics and mathematicians ... 20th century History and biography ... History of mathematics and mathematicians ... Biographies, obituaries, personalia, bibliographies History and biography ... History of mathematics and mathematicians ... Schools of mathematics History and biography ... History of mathematics and mathematicians ... Sociology (and profession) of mathematics Mathematik (DE-588)4037944-9 gnd |
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| title | Pearls from a lost city the Lvov school of mathematics |
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| title_auth | Pearls from a lost city the Lvov school of mathematics |
| title_exact_search | Pearls from a lost city the Lvov school of mathematics |
| title_full | Pearls from a lost city the Lvov school of mathematics Roman Duda ; translated by Daniel Davies |
| title_fullStr | Pearls from a lost city the Lvov school of mathematics Roman Duda ; translated by Daniel Davies |
| title_full_unstemmed | Pearls from a lost city the Lvov school of mathematics Roman Duda ; translated by Daniel Davies |
| title_short | Pearls from a lost city |
| title_sort | pearls from a lost city the lvov school of mathematics |
| title_sub | the Lvov school of mathematics |
| topic | History and biography ... History of mathematics and mathematicians ... 20th century msc History and biography ... History of mathematics and mathematicians ... Biographies, obituaries, personalia, bibliographies msc History and biography ... History of mathematics and mathematicians ... Schools of mathematics msc History and biography ... History of mathematics and mathematicians ... Sociology (and profession) of mathematics msc Geschichte Mathematik Mathematics Study and teaching Ukraine Lʹviv History 20th century Mathematicians Ukraine Lʹviv Biography History and biography ... History of mathematics and mathematicians ... 20th century History and biography ... History of mathematics and mathematicians ... Biographies, obituaries, personalia, bibliographies History and biography ... History of mathematics and mathematicians ... Schools of mathematics History and biography ... History of mathematics and mathematicians ... Sociology (and profession) of mathematics Mathematik (DE-588)4037944-9 gnd |
| topic_facet | History and biography ... History of mathematics and mathematicians ... 20th century History and biography ... History of mathematics and mathematicians ... Biographies, obituaries, personalia, bibliographies History and biography ... History of mathematics and mathematicians ... Schools of mathematics History and biography ... History of mathematics and mathematicians ... Sociology (and profession) of mathematics Geschichte Mathematik Mathematics Study and teaching Ukraine Lʹviv History 20th century Mathematicians Ukraine Lʹviv Biography Lemberg Biografie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027498638&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027498638&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001327576 |
| work_keys_str_mv | AT dudaroman lwowskaszkołamatematyczna AT dudaroman pearlsfromalostcitythelvovschoolofmathematics |