MARC details
| 000 -LEADER |
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| fixed length control field |
06574cam a2200841 a 4500 |
| 001 - CONTROL NUMBER |
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ocn839544128 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20220711195536.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
130416s1989 enka ob 100 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
N$T |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
N$T |
| Modifying agency |
E7B |
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IDEBK |
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OCLCF |
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OCLCO |
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YDXCP |
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OCL |
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OCLCO |
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OCLCQ |
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OCLCO |
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OCLCQ |
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AGLDB |
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OCLCQ |
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UAB |
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OCLCQ |
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VTS |
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REC |
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STF |
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AU@ |
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M8D |
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OCL |
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SFB |
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OCLCO |
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OCLCQ |
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OCLCO |
| 019 ## - |
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| -- |
715181929 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781107361553 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1107361559 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780511661983 |
| Qualifying information |
(e-book) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0511661983 |
| Qualifying information |
(e-book) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
0521369193 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9780521369190 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9521369193 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBBG |
| System control number |
BV043092163 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
| System control number |
421266864 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
GBVCP |
| System control number |
804564698 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)839544128 |
| Canceled/invalid control number |
(OCoLC)715181929 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA241 |
| Item number |
.N8672 1989eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
022000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512/.7 |
| Edition number |
22 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
31.55 |
| Source of number |
bcl |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
31.14 |
| Source of number |
bcl |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
*00Bxx |
| Source of number |
msc |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
11-06 |
| Source of number |
msc |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
58-06 |
| Source of number |
msc |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 245 00 - TITLE STATEMENT |
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| Title |
Number theory and dynamical systems / |
| Statement of responsibility, etc |
edited by M.M. Dodson, J.A.G. Vickers. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Cambridge ; |
| -- |
New York : |
| Name of publisher, distributor, etc |
Cambridge University Press, |
| Date of publication, distribution, etc |
1989. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (172 pages) : |
| Other physical details |
illustrations |
| 336 ## - |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
London Mathematical Society lecture note series ; |
| Volume number/sequential designation |
134 |
| 500 ## - GENERAL NOTE |
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| General note |
Contributions from a meeting held at the University of York, March 30-April 15, 1987. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references. |
| 588 0# - |
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| -- |
Print version record. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This volume contains selected contributions from a very successful meeting on Number Theory and Dynamical Systems held at the University of York in 1987. There are close and surprising connections between number theory and dynamical systems. One emerged last century from the study of the stability of the solar system where problems of small divisors associated with the near resonance of planetary frequencies arose. Previously the question of the stability of the solar system was answered in more general terms by the celebrated KAM theorem, in which the relationship between near resonance (and so Diophantine approximation) and stability is of central importance. Other examples of the connections involve the work of Szemeredi and Furstenberg, and Sprindzuk. As well as containing results on the relationship between number theory and dynamical systems, the book also includes some more speculative and exploratory work which should stimulate interest in different approaches to old problems. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Cover; Title; Copyright; Contents; Contributors; Introduction; References; 1 Non-degeneracy in the perturbation theory of integrable dynamical systems; 1. The Problem; 2. A general non-degeneracy condition; 3. Formulation of the existence theorem; 4. Lower dimensional invariant tori; 5. The twist mapping theorem; References; 2 Infinite dimensional inverse function theorems and small divisors; 1. Introduction.; 2. Stability under Group Actions; 3. Linearisation and Newton's tangent method.; 4. The infinite dimensional case: finite orderand G-stability |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
5. Finite order, small divisors and exceptionalsets6. Coflnite G-stability; 7. Normal forms and Siegel's Theorem; 8. References; 3 Metric Diophantine approximation of quadratic forms; 1. Introduction; References; 4 Symbolic dynamics and Diophantine equations; 1. The problems; 2. The Proofs; References; 5 On badly approximable numbers, Schmidt games and bounded orbits of flows; 1. Introduction; 2. Bounded geodesies and horocycles; 3. Anosov flows; 4. Flows on SL(n, R)/SL(n, Z); 5. The Schmidt game; 6, Examples of winning sets in Rn; 7, Back to bounded geodesies |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
8. Comments on the proofs of other results9. Bounded orbits and simultaneous Diophantine approximation; 10. Miscellaneous comments and questions; 11. References; 6 Estimates for Fourier coefficients of cusp forms; 1. Introduction; 2. Estimation of Satake parameters; 3. Modified Rankin-Selberg method; 4. References; 7 The integral geometry of fractals; 1. Fractals; 2. Integral Geometry; 3. Towards Inequality A; 4. Towards inequality B; 5. Applications to Brownian Motion; 6. Sets with large intersection; 7. References; 8 Geometry of algebraiccontinued fractals; 1. Introduction |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
2. Quadratic continued fractals. 3. Applications to dynamical systems.; 4. Appendix; 5. References; 9 Chaos implies confusion; 1. A dynamical system and transcendental numbers; 2. Dragon curves; 3. The dimension of a planar curve [2], [10]; 4. Resolvable curves; 5. Geometric probability; 6. Entropy of a finite curve [4], [7], [8].; 7. Thermodynamics [4], [7].; 8. Entropy of unbounded curves; 9. Entropy and dimension; 10. References; 10 The Riemann hypothesis and the Hamiltonian of a quantum mechanical system; 1. Introduction |
| 590 ## - LOCAL NOTE (RLIN) |
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| Local note |
eBooks on EBSCOhost |
| Provenance (VM) [OBSOLETE] |
EBSCO eBook Subscription Academic Collection - Worldwide |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Number theory |
| Form subdivision |
Congresses. |
| 9 (RLIN) |
147866 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differentiable dynamical systems |
| Form subdivision |
Congresses. |
| 9 (RLIN) |
230719 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Number theory. |
| 9 (RLIN) |
147498 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Théorie des nombres. |
| 9 (RLIN) |
866894 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Théorie des nombres |
| Form subdivision |
Congrès. |
| 9 (RLIN) |
896908 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Dynamique différentiable |
| Form subdivision |
Congrès. |
| 9 (RLIN) |
935170 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Number Theory. |
| Source of heading or term |
bisacsh |
| 9 (RLIN) |
865493 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differentiable dynamical systems. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst00893426 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Number theory. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01041214 |
| 9 (RLIN) |
147498 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Nombres, Théorie des |
| General subdivision |
Congrès. |
| Source of heading or term |
ram |
| 9 (RLIN) |
938474 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Dynamique différentiable |
| General subdivision |
Congrès. |
| Source of heading or term |
ram |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 655 #7 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Conference papers and proceedings. |
| Source of term |
fast |
| -- |
(OCoLC)fst01423772 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Dodson, M. M. |
| 9 (RLIN) |
940357 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Vickers, J. A. G. |
| 9 (RLIN) |
940358 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Print version: |
| Title |
Number theory and dynamical systems. |
| Place, publisher, and date of publication |
Cambridge ; New York : Cambridge University Press, 1989 |
| International Standard Book Number |
0521369193 |
| Record control number |
(DLC) 90118913 |
| -- |
(OCoLC)21152847 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
London Mathematical Society lecture note series ; |
| Volume number/sequential designation |
134. |
| 9 (RLIN) |
144795 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552438">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552438</a> |
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ebrary |
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EBRY |
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ebr10454532 |
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EBSCOhost |
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EBSC |
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552438 |
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ProQuest MyiLibrary Digital eBook Collection |
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IDEB |
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cis25154521 |
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YBP Library Services |
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YANK |
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10407408 |
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92 |
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INOPJ |
