Course in arithmetic (Record no. 3184)
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fixed length control field | 02021nam a2200277Ia 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240130194819.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 231229s9999 xx 000 0 und d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780387900407 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | IISER BPR |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | Eng |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512.944 |
Item number | SER |
Edition number | 23rd |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Serre, Jean-Pierre |
245 #2 - TITLE STATEMENT | |
Title | Course in arithmetic |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc | New York: |
Name of publisher, distributor, etc | Springer-Verlag, |
Date of publication, distribution, etc | c1973. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | ix, 118p. : |
Other physical details | ill (hb). ; |
Dimensions | 22cm. |
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
Title | Graduate texts in mathematics ; |
Volume number/sequential designation | Vol. 7 |
520 ## - SUMMARY, ETC. | |
Summary, etc | This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.<br/><br/>Includes bibliography, index of definitions and index of notations. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Algebra |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Analytic methods |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | Books |
Source of classification or shelving scheme | Dewey Decimal Classification |
947 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
a | 5262.136831 |
948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) | |
Series part designator, SPT (RLIN) | 0.22 |
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 |
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Dewey Decimal Classification | Vigyanpuri Campus | Vigyanpuri Campus | 16/01/2024 | 42 | 4264.64 | 512.944 SER | 006520 | 16/01/2024 | 0.00 | 16/01/2024 | Books |