Basic Number Theory (Record no. 59105)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03548nam a22002897a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220908130501.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220411b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783540586555 |
| 028 ## - DISTRIBUTOR NAME | |
| Distributor Name | :Zafaa Books & Distributors |
| Distributor address | :313/56F 49A, Anand Nagar Inderlok Delhi 110035 |
| Bill Number | :ZBD0020 |
| Bill Date | :04/04/2022 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.7 WEI |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Weil , Andre |
| 245 ## - TITLE STATEMENT | |
| Title | Basic Number Theory |
| Statement of responsibility, etc | / André Weil |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | New York, |
| Name of publisher, distributor, etc | Springer-Verlag, |
| Date of publication, distribution, etc | 1974. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xviii, 325p. |
| Dimensions | 23 cm. |
| 365 ## - TRADE PRICE | |
| Price amount | 5784 |
| 490 ## - SERIES STATEMENT | |
| Series statement | Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Bd. 144. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Contents note | I. Elementary Theory.- I. Locally compact fields.- 1. Finite fields.- 2. The module in a locally compact field.- 3. Classification of locally compact fields.- 4. Structure of p-fields.- II. Lattices and duality over local fields.- 1. Norms.- 2. Lattices.- 3. Multiplicative structure of local fields.- 4. Lattices over R.- 5. Duality over local fields.- III. Places of A-fields.- 1. A-fields and their completions.- 2. Tensor-products of commutative fields.- 3. Traces and norms.- 4. Tensor-products of A-fields and local fields.- IV. Adeles.- 1. Adeles of A-fields.- 2. The main theorems.- 3. Ideles.- 4. Ideles of A-fields.- V. Algebraic number-fields.- 1. Orders in algebras over Q.- 2. Lattices over algebraic number-fields.- 3. Ideals.- 4. Fundamental sets.- VI. The theorem of Riemann-Roch.- VII. Zeta-functions of A-fields.- 1. Convergence of Euler products.- 2. Fourier transforms and standard functions.- 3. Quasicharacters.- 4. Quasicharacters of A-fields.- 5. The functional equation.- 6. The Dedekind zeta-function.- 7. L-functions.- 8. The coefficients of the L-series.- VIII. Traces and norms.- 1. Traces and norms in local fields.- 2. Calculation of the different.- 3. Ramification theory.- 4. Traces and norms in A-fields.- 5. Splitting places in separable extensions.- 6. An application to inseparable extensions.- II. Classfield Theory.- IX. Simple algebras.- 1. Structure of simple algebras.- 2. The representations of a simple algebra.- 3. Factor-sets and the Brauer group.- 4. Cyclic factor-sets.- 5. Special cyclic factor-sets.- X. Simple algebras over local fields.- 1. Orders and lattices.- 2. Traces and norms.- 3. Computation of some integrals.- XI. Simple algebras over A-fields.- 1. Ramification.- 2. The zeta-function of a simple algebra.- 3. Norms in simple algebras.- 4. Simple algebras over algebraic number-fields.- XII. Local classfield theory.- 1. The formalism of classfield theory.- 2. The Brauer group of a local field.- 3. The canonical morphism.- 4. Ramification of abelian extensions.- 5. The transfer.- XIII. Global classfield theory.- 1. The canonical pairing.- 2. An elementary lemma.- 3. Hasse's "law of reciprocity".- 4. Classfield theory for Q.- 5. The Hilbert symbol.- 6. The Brauer group of an A-field.- 7. The Hilbert p-symbol.- 8. The kernel of the canonical morphism.- 9. The main theorems.- 10. Local behavior of abelian extensions.- 11. "Classical" classfield theory.- 12. "Coronidis loco".- Notes to the text.- Appendix I. The transfer theorem.- Appendix III. Shafarevitch's theorem.- Appendix IV. The Herbrand distribution.- Index of definitions. |
| 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 | Number theory. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Class field theory. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Théorie des nombres. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Number Theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Class field theory. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Weil , André |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| 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 | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Not For Loan | SNU LIBRARY | SNU LIBRARY | 11/04/2022 | Zafaa Books & Distributors | 5784.00 | 512.7 WEI | 28597 | 11/04/2022 | 11/04/2022 | Books |
