The plaid model / (Record no. 81424)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05704cam a2200889 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | on1066741225 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220908100150.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 181121s2019 nju ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | N$T |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | N$T |
| Modifying agency | EBLCP |
| -- | N$T |
| -- | OCLCF |
| -- | JSTOR |
| -- | YDX |
| -- | UKOUP |
| -- | OH1 |
| -- | UKAHL |
| -- | OCLCQ |
| -- | OCL |
| -- | IEEEE |
| -- | OCLCQ |
| -- | OCLCO |
| 019 ## - | |
| -- | 1096512940 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780691188997 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0691188998 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780691181370 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0691181373 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780691181387 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0691181381 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000065084178 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1066741225 |
| Canceled/invalid control number | (OCoLC)1096512940 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 22573/ctv5rnhk3 |
| Source of stock number/acquisition | JSTOR |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 9452377 |
| Source of stock number/acquisition | IEEE |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA614.8 |
| Item number | .S39 2019 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA853 |
| Item number | .S39 2019 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 039000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 023000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 026000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 012000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 022000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 036000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.39 |
| Edition number | 23 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Schwartz, Richard Evan, |
| Relator term | author. |
| 9 (RLIN) | 65242 |
| 245 14 - TITLE STATEMENT | |
| Title | The plaid model / |
| Statement of responsibility, etc. | Richard Evan Schwartz. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Princeton, New Jersey : |
| Name of producer, publisher, distributor, manufacturer | Princeton University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | [2019] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | �2019 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Annals of mathematics studies ; |
| Volume/sequential designation | Number 198 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Vendor-supplied metadata. |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Miscellaneous information | Frontmatter -- Contents -- Preface -- Introduction -- Part 1. |
| Title | The plaid model -- |
| Miscellaneous information | Chapter 1. |
| Title | Definition of the plaid model -- |
| Miscellaneous information | Chapter 2. |
| Title | Properties of the model -- |
| Miscellaneous information | Chapter 3. |
| Title | Using the model -- |
| Miscellaneous information | Chapter 4. |
| Title | Particles and spacetime diagrams -- |
| Miscellaneous information | Chapter 5. |
| Title | Three-dimensional interpretation -- |
| Miscellaneous information | Chapter 6. |
| Title | Pixellation and curve turning -- |
| Miscellaneous information | Chapter 7. |
| Title | Connection to the Truchet tile system -- |
| Miscellaneous information | Part 2. |
| Title | The plaid PET -- |
| Miscellaneous information | Chapter 8. |
| Title | The plaid master picture theorem -- |
| Miscellaneous information | Chapter 9. |
| Title | The segment lemma -- |
| Miscellaneous information | Chapter 10. |
| Title | The vertical lemma -- |
| Miscellaneous information | Chapter 11. |
| Title | The horizontal lemma -- |
| Miscellaneous information | Chapter 12. |
| Title | Proof of the main result -- |
| Miscellaneous information | Part 3. |
| Title | The graph PET -- |
| Miscellaneous information | Chapter 13. |
| Title | Graph master picture theorem -- |
| Miscellaneous information | Chapter 14. |
| Title | Pinwheels and quarter turns -- |
| Miscellaneous information | Chapter 15. |
| Title | Quarter turn compositions and PETs -- |
| Miscellaneous information | Chapter 16. |
| Title | The nature of the compactification -- |
| Miscellaneous information | Part 4. |
| Title | The plaid-graph correspondence -- |
| Miscellaneous information | Chapter 17. |
| Title | The orbit equivalence theorem -- |
| Miscellaneous information | Chapter 18. |
| Title | The quasi-isomorphism theorem -- |
| Miscellaneous information | Chapter 19. |
| Title | Geometry of the graph grid -- |
| Miscellaneous information | Chapter 20. |
| Title | The intertwining lemma -- |
| Miscellaneous information | Part 5. |
| Title | The distribution of orbits -- |
| Miscellaneous information | Chapter 21. |
| Title | Existence of infinite orbits -- |
| Miscellaneous information | Chapter 22. |
| Title | Existence of many large orbits -- |
| Miscellaneous information | Chapter 23. |
| Title | Infinite orbits revisited -- |
| Miscellaneous information | Chapter 24. |
| Title | Some elementary number theory -- |
| Miscellaneous information | Chapter 25. |
| Title | The weak and strong case -- |
| Miscellaneous information | Chapter 26. |
| Title | The core case -- |
| Miscellaneous information | References -- Index. |
| 520 8# - SUMMARY, ETC. | |
| Summary, etc. | Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behaviour even for simple examples. It is a dynamical system in which a particle in the plane moves around the outside of a convex shape according to a scheme that is reminiscent of billiards. 'The Plaid Model', which is a self-contained sequel to Schwartz's 'Outer Billiards on Kites', provides a combinatorial model for orbits of outer billiards on kites. The combinatorial model, called 'the plaid model', has a self-similar structure that blends geometry and elementary number theory. The results were discovered through computer experimentation and it seems that the conclusions would be very difficult to reach through traditional maths. The work includes an extensive computer program that allows readers to explore the materials interactively and each theorem is accompanied by a computer demonstration. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | IEEE |
| Provenance (VM) [OBSOLETE] | IEEE Xplore Princeton University Press eBooks Library |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differentiable dynamical systems. |
| 9 (RLIN) | 20832 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Combinatorial dynamics. |
| 9 (RLIN) | 65243 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometry. |
| 9 (RLIN) | 21224 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Number theory. |
| 9 (RLIN) | 13208 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Dynamique diff�erentiable. |
| 9 (RLIN) | 63691 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Orbites p�eriodiques (Math�ematiques) |
| 9 (RLIN) | 65244 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | G�eom�etrie. |
| 9 (RLIN) | 65245 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Th�eorie des nombres. |
| 9 (RLIN) | 64750 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | geometry. |
| Source of heading or term | aat |
| 9 (RLIN) | 21224 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Essays. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 64120 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Pre-Calculus. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 64121 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Reference. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 64122 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Geometry |
| -- | General. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 7661 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Number theory. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst01041214 |
| 9 (RLIN) | 13208 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometry. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst00940864 |
| 9 (RLIN) | 21224 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differentiable dynamical systems. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst00893426 |
| 9 (RLIN) | 20832 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Combinatorial dynamics. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst00868969 |
| 9 (RLIN) | 65243 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst01012163 |
| 9 (RLIN) | 11584 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 9 (RLIN) | 3294 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Schwartz, Richard Evan. |
| Title | Plaid model. |
| Place, publisher, and date of publication | Princeton, New Jersey : Princeton University Press, [2019] |
| International Standard Book Number | 9780691181370 |
| -- | 0691181373 |
| Record control number | (OCoLC)1051133975 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Annals of mathematics studies ; |
| Volume/sequential designation | no. 198. |
| 9 (RLIN) | 65246 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452377">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452377</a> |
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| 938 ## - | |
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| 938 ## - | |
| -- | Oxford University Press USA |
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| Koha item type | eBooks |
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