Number Theory / / Helmut Hasse.
Saved in:
| Superior document: | Title is part of eBook package: De Gruyter DGBA Mathematics - <1990 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©1979 |
| Year of Publication: | 2022 |
| Edition: | English Translation. Edited and Prepared for Publication by Horst Giinter Zimmer, Reprint 2021 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (658 p.) :; 49 Fig. |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| LEADER | 04797nam a22006375i 4500 | ||
|---|---|---|---|
| 001 | 9783112570067 | ||
| 003 | DE-B1597 | ||
| 005 | 20220302035458.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 220302t20221979gw fo d z eng d | ||
| 020 | |a 9783112570067 | ||
| 024 | 7 | |a 10.1515/9783112570067 |2 doi | |
| 035 | |a (DE-B1597)607384 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 072 | 7 | |a NON000000 |2 bisacsh | |
| 100 | 1 | |a Hasse, Helmut, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Number Theory / |c Helmut Hasse. |
| 250 | |a English Translation. Edited and Prepared for Publication by Horst Giinter Zimmer, Reprint 2021 | ||
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2022] | |
| 264 | 4 | |c ©1979 | |
| 300 | |a 1 online resource (658 p.) : |b 49 Fig. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Preface to the English Edition -- |t Preface to the First Edition -- |t Preface to the Second Edition -- |t Preface to the Third Edition -- |t Table of Contents -- |t Part I The Foundations of Arithmetic in the Rational Number Field -- |t Chapter 1. Prime Decomposition -- |t Chapter 2. Divisibility -- |t Chapter 3. Congruences -- |t Chapter 4. The Structure of the Residue Class Ring mod m and of the Reduced Residue Class Group mod m -- |t Chapter 5. Quadratic Residues -- |t Part II The Theory of Valued Fields -- |t Chapter 6. The Fundamental Concepts Regarding Valuations -- |t Chapter 7. Arithmetic in a Discrete Valued Field -- |t Chapter 8. The Completion of a Valued Field -- |t Chapter 9. The Completion of a Discrete Valued Field. The p-adie Number Fields -- |t Chapter 10. The Isomorphism Types of Complete Discrete Valued Fields with Perfect Residue Class Field -- |t Chapter 11. Prolongation of a Discrete Valuation to a Purely Transcendental Extension -- |t Chapter 12. Prolongation of the Valuation of a Complete Field to a Finite-Algebraic Extension -- |t Chapter 13. The Isomorphism Types of Complete Archimedean Valued Fields -- |t Chapter 14. The Structure of a Finite-Algebraic Extension of a Complete Discrete Valued Field -- |t Chapter 15. The Structure of the Multiplicative Group of a Complete Discrete Valued Field with a Perfect Residue Class Field of Prime Characteristic -- |t Chapter 16. The Tamely Ramified Extension Types of a Complete Discrete Valued Field with Finite Residue Class Field of Characteristic p -- |t Chapter 17. The Exponential Function, the Logarithm, and Powers in a Complete Non-Archimedean Valued Field of Characteristic Zero -- |t Chapter 18. Prolongation of the Valuation of a Non-Complete Field to a Finite-Algebraic Extension -- |t Part III The Foundations of Arithmetic in Algebraic Number Fields -- |t Chapter 19. Relations Between the Complete System of Valuations and the Arithmetic of the Rational Number Field -- |t Chapter 20. Prolongation of the Complete System of Valuations to a Finite-Algebraic Extension -- |t Chapter 21. The Prime Spots of an Algebraic Number Field and their Completions -- |t Chapter 22. Decomposition into Prime Divisors, Integrality, and Divisibility -- |t Chapter 23. Congruences -- |t Chapter 24. The Multiples of a Divisor -- |t Chapter 25. Differents and Discriminants -- |t Chapter 26. Quadratic Number Fields -- |t Chapter 27. Cyclotomic Fields -- |t Chapter 28. Units -- |t Chapter 29. The Class Number -- |t Chapter 30. Approximation Theorems and Estimates for the Discriminant -- |t Index of Names -- |t Subject Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mrz 2022) | |
| 650 | 7 | |a NON-CLASSIFIABLE. |2 bisacsh | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Mathematics - <1990 |z 9783110635881 |o ZDB-23-GMA |
| 776 | 0 | |c print |z 9783112570050 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783112570067 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783112570067 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783112570067/original |
| 912 | |a EBA_BACKALL | ||
| 912 | |a EBA_DGALL | ||
| 912 | |a EBA_EBACKALL | ||
| 912 | |a EBA_EBKALL | ||
| 912 | |a EBA_EEBKALL | ||
| 912 | |a EBA_ESSHALL | ||
| 912 | |a EBA_ESTMALL | ||
| 912 | |a EBA_SSHALL | ||
| 912 | |a EBA_STMALL | ||
| 912 | |a GBV-deGruyter-alles | ||
| 912 | |a PDA11SSHE | ||
| 912 | |a PDA12STME | ||
| 912 | |a PDA13ENGE | ||
| 912 | |a PDA17SSHEE | ||
| 912 | |a PDA18STMEE | ||
| 912 | |a PDA5EBK | ||
| 912 | |a ZDB-23-GMA |b 1990 | ||