Kolmogorov's heritage in mathematics:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Berlin u.a.
Springer
2007
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 317 S. Ill., graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783540363491 3540363491 |
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MARC
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| 245 | 1 | 0 | |a Kolmogorov's heritage in mathematics |c Éric Charpentier ... (eds) |
| 264 | 1 | |a Berlin u.a. |b Springer |c 2007 | |
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| 650 | 4 | |a Kolmogorov complexity | |
| 650 | 4 | |a Mathematics |x History |y 20th century | |
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Record in the Search Index
| _version_ | 1804137124009607168 |
|---|---|
| adam_text | Contents
Introduction
Eric
Charpentier.
Annick
Lesne,
and Nikolai Nikolski
................. 1
1
The youth of Andrei Nikolaevich and Fourier series
Jean-Pierre
Kahane
.............................................. 7
2
Kolmogorov s contribution to intuitionistic logic
Thierry Coquand
................................................. 19
3
Some aspects of the probabilistic work
Loïc
Chaumont. Laurent Mazliak, and
Alare Yor
..................... 41
4
Infinite-dimensional Kolmogorov equations
Giuseppe
Da. Prato
............................................... 67
5
From Kolmogorov s theorem on empirical distribution to
number theory
Kevin Ford
...................................................... 97
6
Kolmogorov s
ε
-entropy and the problem of statistical
estimation
Mikhail Nikouline and Valentin Solev
...............................109
7
Kolmogorov and topology
Victor M. Buchstaber
.............................................139
8
Geometry and approximation theory
in A.
N.
Kolmogorov s works
Vladimir
M.
Tiklwmirov
..........................................151
9
Kolmogorov and population dynamics
Karl Sigmund....................................................177
VI
Contents ·
10
Resonances and small divisors
Etienne
Ghys
....................................................187
11
The
KAM
Theorem
John H. Hubhard
.................................................215
12
From Kolmogorov s work on entropy of dynamical systems
to non-uniformly hyperbolic dynamics
Denis V. Kosygin and Yakov G. Sinai
..............................239
13
From Hubert s 13th Problem to the theory of neural
networks: constructive aspects of Kolmogorov s Superposition
Theorem
Vasco
Brattka
...................................................25,3
14
Kolrnogorov complexity
Bruno
Durand,
and, Alexander Zvonkin
..............................281
15
Algorithmic chaos and the incompressibility method
Paul
Vitányi
....................................................301
|
| adam_txt |
Contents
Introduction
Eric
Charpentier.
Annick
Lesne,
and Nikolai Nikolski
. 1
1
The youth of Andrei Nikolaevich and Fourier series
Jean-Pierre
Kahane
. 7
2
Kolmogorov's contribution to intuitionistic logic
Thierry Coquand
. 19
3
Some aspects of the probabilistic work
Loïc
Chaumont. Laurent Mazliak, and
Alare Yor
. 41
4
Infinite-dimensional Kolmogorov equations
Giuseppe
Da. Prato
. 67
5
From Kolmogorov's theorem on empirical distribution to
number theory
Kevin Ford
. 97
6
Kolmogorov's
ε
-entropy and the problem of statistical
estimation
Mikhail Nikouline and Valentin Solev
.109
7
Kolmogorov and topology
Victor M. Buchstaber
.139
8
Geometry and approximation theory
in A.
N.
Kolmogorov's works
Vladimir
M.
Tiklwmirov
.151
9
Kolmogorov and population dynamics
Karl Sigmund.177
VI
Contents ·
10
Resonances and small divisors
Etienne
Ghys
.187
11
The
KAM
Theorem
John H. Hubhard
.215
12
From Kolmogorov's work on entropy of dynamical systems
to non-uniformly hyperbolic dynamics
Denis V. Kosygin and Yakov G. Sinai
.239
13
From Hubert's 13th Problem to the theory of neural
networks: constructive aspects of Kolmogorov's Superposition
Theorem
Vasco
Brattka
.25,3
14
Kolrnogorov complexity
Bruno
Durand,
and, Alexander Zvonkin
.281
15
Algorithmic chaos and the incompressibility method
Paul
Vitányi
.301 |
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| bvnumber | BV022867162 |
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| callnumber-label | QA267 |
| callnumber-raw | QA267.7 |
| callnumber-search | QA267.7 |
| callnumber-sort | QA 3267.7 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SF 4760 |
| classification_tum | MAT 002f |
| ctrlnum | (OCoLC)237201752 (DE-599)BVBBV022867162 |
| dewey-full | 510.92 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.92 510 |
| dewey-search | 510.92 510 |
| dewey-sort | 3510.92 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| era | Geschichte 1900-2000 |
| era_facet | Geschichte 1900-2000 |
| format | Book |
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| id | DE-604.BV022867162 |
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| index_date | 2024-07-02T18:45:41Z |
| indexdate | 2024-07-09T21:07:18Z |
| institution | BVB |
| isbn | 9783540363491 3540363491 |
| language | English |
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| physical | VIII, 317 S. Ill., graph. Darst. 235 mm x 155 mm |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Springer |
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| spelling | Kolmogorov's heritage in mathematics Éric Charpentier ... (eds) Berlin u.a. Springer 2007 VIII, 317 S. Ill., graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Kolmogorov, A. N <1903-1987> (Andreĭ Nikolaevich) Kolmogorov, Andrej Nikolaevič 1903-1987 (DE-588)119056399 gnd rswk-swf Geschichte 1900-2000 Geschichte Mathematik Kolmogorov complexity Mathematics History 20th century Kolmogorov-System (DE-588)4164700-2 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Kolmogorovsche Differentialgleichungen (DE-588)4164698-8 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Kolmogorov, Andrej Nikolaevič 1903-1987 (DE-588)119056399 p Mathematik (DE-588)4037944-9 s DE-604 Kolmogorovsche Differentialgleichungen (DE-588)4164698-8 s 1\p DE-604 Kolmogorov-System (DE-588)4164700-2 s 2\p DE-604 Charpentier, Éric 1963- Sonstige (DE-588)133661008 oth Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016072319&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kolmogorov's heritage in mathematics Kolmogorov, A. N <1903-1987> (Andreĭ Nikolaevich) Kolmogorov, Andrej Nikolaevič 1903-1987 (DE-588)119056399 gnd Geschichte Mathematik Kolmogorov complexity Mathematics History 20th century Kolmogorov-System (DE-588)4164700-2 gnd Mathematik (DE-588)4037944-9 gnd Kolmogorovsche Differentialgleichungen (DE-588)4164698-8 gnd |
| subject_GND | (DE-588)119056399 (DE-588)4164700-2 (DE-588)4037944-9 (DE-588)4164698-8 (DE-588)4143413-4 |
| title | Kolmogorov's heritage in mathematics |
| title_auth | Kolmogorov's heritage in mathematics |
| title_exact_search | Kolmogorov's heritage in mathematics |
| title_exact_search_txtP | Kolmogorov's heritage in mathematics |
| title_full | Kolmogorov's heritage in mathematics Éric Charpentier ... (eds) |
| title_fullStr | Kolmogorov's heritage in mathematics Éric Charpentier ... (eds) |
| title_full_unstemmed | Kolmogorov's heritage in mathematics Éric Charpentier ... (eds) |
| title_short | Kolmogorov's heritage in mathematics |
| title_sort | kolmogorov s heritage in mathematics |
| topic | Kolmogorov, A. N <1903-1987> (Andreĭ Nikolaevich) Kolmogorov, Andrej Nikolaevič 1903-1987 (DE-588)119056399 gnd Geschichte Mathematik Kolmogorov complexity Mathematics History 20th century Kolmogorov-System (DE-588)4164700-2 gnd Mathematik (DE-588)4037944-9 gnd Kolmogorovsche Differentialgleichungen (DE-588)4164698-8 gnd |
| topic_facet | Kolmogorov, A. N <1903-1987> (Andreĭ Nikolaevich) Kolmogorov, Andrej Nikolaevič 1903-1987 Geschichte Mathematik Kolmogorov complexity Mathematics History 20th century Kolmogorov-System Kolmogorovsche Differentialgleichungen Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016072319&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT charpentiereric kolmogorovsheritageinmathematics |