Collected works with commentaries: 1 Mathematical philosophy and foundations, potential theory, Brownian movement, Wiener integrals, ergodic and chaos theories, turbulences and statistical mechanics
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| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, [u.a.]
MIT Press
1976
|
| Series: | Mathematicians of our time
10 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 761 S. Ill. |
| ISBN: | 0262230704 |
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MARC
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| 100 | 1 | |a Wiener, Norbert |d 1894-1964 |0 (DE-588)118632558 |4 aut | |
| 245 | 1 | 0 | |a Collected works with commentaries |n 1 |p Mathematical philosophy and foundations, potential theory, Brownian movement, Wiener integrals, ergodic and chaos theories, turbulences and statistical mechanics |c Norbert Wiener ; edited by P. Masani |
| 264 | 1 | |a Cambridge, [u.a.] |b MIT Press |c 1976 | |
| 300 | |a X, 761 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Mathematicians of our time |v 10 | |
| 490 | 0 | |a Mathematicians of our time |v ... | |
| 700 | 1 | |a Masani, Pesi Rustom |d 1919-1999 |0 (DE-588)1089109326 |4 edt | |
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| 830 | 0 | |a Mathematicians of our time |v 10 |w (DE-604)BV000014195 |9 10 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-001527316 | |
Record in the Search Index
| _version_ | 1825759189326102528 |
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| adam_text |
Contents
(Bracketed numbers are from the Bibliography.)
Preface
xi
The Classification of Wiener's Papers
2
P. Masani: Introduction and Acknowledgment
3
Bibliography of Norbert Wiener
IA
Mathematical Philosophy and Foundations
[14a] A simplification of the logic of relations 29
H. E. Kyburg: Comments on [14a] 33
[14b] A contribution to the theory of relative position 34
[15a] Studies in synthetic logic 43
[21a] A new theory of measurement: A study in the logic of
mathematics 58
H. E. Kyburg: Comments on [14b], [15a], [21a] 83
[22a] The relation of space and geometry to experience 87
A. Fine: Commentary on [22a] 215
[15b] Is mathematical certainty absolute? 218
W. V. Quine: Comments on [15b] 225
[16a] Mr. Lewis and implication 226
W. V. Quine: Comments on [16a] 233
[23a] On the nature of mathematical thinking 234
R. L. Wilder: Comments on [23a] 239
/
[13a] On a method of rearranging the positive integers in a series of
ordinal numbers greater than that of any given fundamental
sequence of omegas 240
P. Masani: Comments on [13a] 249
[20a] Bilinear operations generating all operations rational in a
domain Q, 250
[20b] A set of postulates for fields 259
[20c] Certain iterative characteristics of bilinear operations 269
[20d] Certain iterative properties of bilinear operations 274
[21b] The isomorphisms of complex algebra 277
R. J. Levit: Comments on [20a, b, c, d], [21b] 280
[20e] On the theory of sets of points in terms of continuous trans¬
formations 281
[22b] The group of the linear continuum 285
[22c] Limit in terms of continuous transformation 303
R. L. Wilder: Comments on [20e], [22b,c] 319
[17a] Certain formal invariances in Boolean algebras 321
F. E. Hohn: Comments on [17a] 329
IB
Potential Theory
[23b] Nets and the Dirichlet problem (with H. B. Phillips) 333
L. Lumer: Comments on [23b] 353
[23c] Discontinuous boundary conditions and the Dirichlet problem 355
L. Lumer: Comments on [23c] 363
[24a] Certain notions in potential theory 364
L. Lumer: Comments on [24a] 392
[24b] The Dirichlet problem 394
[24c] Une condition ne'cessaire et suffisante de possibilite pour le
probleme de Dirichlet 414
viii CONTENTS
L. Lumer: Comments on [24b, c] 419
[25a] Note on a paper of 0. Perron 420
L. Lumer: Comments on [25a] 432
IC
Brownian Movement, Wiener Integrals
Ergodic and Chaos Theories,
Turbulence and Statistical Mechanics
[20f] The mean of a functional of arbitrary elements 435
[21c] The average of an analytic functional 442
[21d] The average of an analytic functional and the Brownian
movement 450
[23d] Differential space 455
[24d] The average value of a functional 499
K. Ito: Commentary on [20f], [21c, d], [23d], [24d] 513
[23e] Note on the series f (± l/«) 520
J. P. Kahane: Comments on [23e] 524
[24e] Un probleme de probabilites denombrables 525
J. —P. Kahane: Comments on [24e] 535
[33a] Notes on random functions (with R. E. A. C. Paley and A.
Zygmund) 536
J. P. Kahane: Comments on [33a] 558
[34a] Random Functions 564
J. —P. Kahane: Comments on [34a] 571
[38a] The homogeneous chaos 572
L. Gross: Comments on [38a] 612
[43a] The discrete chaos (with A. Wintner) 614
J. Feldman: Comments on [43a] 634
B. McMillan: Comments on [43a] 636
ix CONTENTS
[39b] The use of statistical theory in the study of turbulence 641
[39h] A new method in statistical mechanics (with B. McMillan)
(abstract) 652
[40d] A canonical series for symmetric functions in statistical
mechanics (abstract) 653
B. McMillan and G. S. Deem: The Weiner program in statistical
physics. Commentary on [38a], [39b, h], [40d], [43a] 654
[39a] The ergodic theorem 672
E. M. Stein: Comments on [39a] 690
[41a] Harmonic analysis and ergodic theory (with A. Wintner) 693
[41b] On the ergodic dynamics of almost periodic systems
(with A. Wintner) 705
W. A. Veech: Commentary on [41a, b] 736
[57a] The definition and ergodic properties of the stochastic adjoint
of a unitary transformation (with E. J. Akutowicz) 744
K. Ito: Comments on [57a] 757
E. J. Akutowicz: Comments on [57a] 758
Index of Papers and Commentaries 759
x CONTENTS |
| any_adam_object | 1 |
| author | Wiener, Norbert 1894-1964 |
| author2 | Masani, Pesi Rustom 1919-1999 |
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| ctrlnum | (OCoLC)630874039 (DE-599)BVBBV002333104 |
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| id | DE-604.BV002333104 |
| illustrated | Illustrated |
| indexdate | 2025-03-05T13:00:46Z |
| institution | BVB |
| isbn | 0262230704 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001527316 |
| oclc_num | 630874039 |
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| physical | X, 761 S. Ill. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | MIT Press |
| record_format | marc |
| series | Mathematicians of our time |
| series2 | Mathematicians of our time |
| spelling | Wiener, Norbert 1894-1964 (DE-588)118632558 aut Collected works with commentaries 1 Mathematical philosophy and foundations, potential theory, Brownian movement, Wiener integrals, ergodic and chaos theories, turbulences and statistical mechanics Norbert Wiener ; edited by P. Masani Cambridge, [u.a.] MIT Press 1976 X, 761 S. Ill. txt rdacontent n rdamedia nc rdacarrier Mathematicians of our time 10 Mathematicians of our time ... Masani, Pesi Rustom 1919-1999 (DE-588)1089109326 edt (DE-604)BV000534993 1 Mathematicians of our time 10 (DE-604)BV000014195 10 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001527316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wiener, Norbert 1894-1964 Collected works with commentaries Mathematicians of our time |
| title | Collected works with commentaries |
| title_auth | Collected works with commentaries |
| title_exact_search | Collected works with commentaries |
| title_full | Collected works with commentaries 1 Mathematical philosophy and foundations, potential theory, Brownian movement, Wiener integrals, ergodic and chaos theories, turbulences and statistical mechanics Norbert Wiener ; edited by P. Masani |
| title_fullStr | Collected works with commentaries 1 Mathematical philosophy and foundations, potential theory, Brownian movement, Wiener integrals, ergodic and chaos theories, turbulences and statistical mechanics Norbert Wiener ; edited by P. Masani |
| title_full_unstemmed | Collected works with commentaries 1 Mathematical philosophy and foundations, potential theory, Brownian movement, Wiener integrals, ergodic and chaos theories, turbulences and statistical mechanics Norbert Wiener ; edited by P. Masani |
| title_short | Collected works with commentaries |
| title_sort | collected works with commentaries mathematical philosophy and foundations potential theory brownian movement wiener integrals ergodic and chaos theories turbulences and statistical mechanics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001527316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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