Survey of diophantine geometry (Record no. 4225)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02252nam a2200337Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250217114614.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 241112s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783540612230 (pbk.) |
| Terms of availability | € 99.99 |
| 040 ## - CATALOGING SOURCE | |
| Language of cataloging | ENG |
| Transcribing agency | IISER-BPR |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | ENG |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.73 |
| Item number | LAN |
| Edition number | 23rd |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Lang, Serge |
| 9 (RLIN) | 1085 |
| 222 ## - KEY TITLE | |
| Key title | Mathematics |
| 245 #0 - TITLE STATEMENT | |
| Title | Survey of diophantine geometry |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Berlin: |
| Name of publisher, distributor, etc | Springer-Verlag, |
| Date of publication, distribution, etc | c1997 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiii, 298p. : |
| Other physical details | ill. ; |
| Dimensions | 24cm |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes illustrations, notation, bibliographic references and subject index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of solutions of algebraic equations in rings and fields, and eventually for the number of such solutions. The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the field Q of rational numbers. One discovers rapidly that to have all the technical freedom needed in handling general problems, one must consider rings and fields of finite type over the integers and rationals. Furthermore, one is led to consider also finite fields, p-adic fields (including the real and complex numbers) as representing a localization of the problems under consideration. We shall deal with global problems, all of which will be of a qualitative nature. On the one hand we have curves defined over say the rational numbers. Ifthe curve is affine one may ask for its points in Z, and thanks to Siegel, one can classify all curves which have infinitely many integral points. This problem is treated in Chapter VII. One may ask also for those which have infinitely many rational points, and for this, there is only Mordell's conjecture that if the genus is :;;; 2, then there is only a finite number of rational points. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 9 (RLIN) | 2466 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebra |
| 9 (RLIN) | 2467 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Number theory |
| 9 (RLIN) | 2468 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analytic number theory |
| 9 (RLIN) | 2469 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Diophantine approximations |
| 9 (RLIN) | 2470 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Diophantine geometry |
| 9 (RLIN) | 2471 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| 947 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
| a | 7331.0835 |
| 948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) | |
| Series part designator, SPT (RLIN) | 22 |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Vigyanpuri Campus | Vigyanpuri Campus | 14/01/2025 | 41 | 6951.40 | 512.73 LAN | M00033 | 14/01/2025 | 8912.11 | 14/01/2025 | Books | Acquired through NBHM Library Grant 2024-2025. |
