Number Theory / / Helmut Hasse.
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Superior document: | Title is part of eBook package: De Gruyter DGBA Mathematics - <1990 |
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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. |
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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 |
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