Projective differential geometry old and new : (Record no. 518053)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03224nam a22003738i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511543142 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160236.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090505s2005||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511543142 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521831864 (hardback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA660 |
| Item number | .O87 2005 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.3/6 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ovsienko, Valentin, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Projective differential geometry old and new : |
| Remainder of title | from the Schwarzian derivative to the cohomology of diffeomorphism groups / |
| Statement of responsibility, etc | V. Ovsienko, S. Tabachnikov. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | Projective Differential Geometry Old & New |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2005. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xi, 249 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | Cambridge tracts in mathematics ; |
| Volume number/sequential designation | 165 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Miscellaneous information | 1. |
| Title | Introduction -- |
| Miscellaneous information | 2. |
| Title | The Geometry of the projective line -- |
| Miscellaneous information | 3. |
| Title | The Algebra of the projective line and cohomology of Diff(S1) -- |
| Miscellaneous information | 4. |
| Title | Vertices of projective curves -- |
| Miscellaneous information | 5. |
| Title | Projective invariants of submanifolds -- |
| Miscellaneous information | 6. |
| Title | Projective structures on smooth manifolds -- |
| Miscellaneous information | 7. |
| Title | Multi-dimensional Schwarzian derivatives and differential operators -- |
| Miscellaneous information | Appendix 1. |
| Title | Five proofs of the Sturm theorem |
| Miscellaneous information | Appendix 2. |
| Title | The Language of symplectic and contact geometry -- |
| Miscellaneous information | Appendix 3. |
| Title | The Language of connections -- |
| Miscellaneous information | Appendix 4. |
| Title | The Language of homological algebra -- |
| Miscellaneous information | Appendix 5. |
| Title | Remarkable cocycles on groups of diffeomorphisms -- |
| Miscellaneous information | Appendix 6. |
| Title | The Godbillon-Vey class -- |
| Miscellaneous information | Appendix 7. |
| Title | The Adler-Gelfand-Dickey bracket and infinite-dimensional Poisson geometry. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. The authors' main goal in this 2005 book is to emphasize connections between classical projective differential geometry and contemporary mathematics and mathematical physics. They also give results and proofs of classic theorems. Exercises play a prominent role: historical and cultural comments set the basic notions in a broader context. The book opens by discussing the Schwarzian derivative and its connection to the Virasoro algebra. One-dimensional projective differential geometry features strongly. Related topics include differential operators, the cohomology of the group of diffeomorphisms of the circle, and the classical four-vertex theorem. The classical theory of projective hypersurfaces is surveyed and related to some very recent results and conjectures. A final chapter considers various versions of multi-dimensional Schwarzian derivative. In sum, here is a rapid route for graduate students and researchers to the frontiers of current research in this evergreen subject. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Projective differential geometry. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Tabachnikov, Serge, |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521831864 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Cambridge tracts in mathematics ; |
| Volume number/sequential designation | 165. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511543142">https://doi.org/10.1017/CBO9780511543142</a> |
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