Number Theory (Grundlehren der mathematischen Wissenschaften, 229) - edition reliée, livre de poche

EAN (ISBN-13): 9783540082750
ISBN (ISBN-10): 3540082751
Version reliée
Date de parution: 1980
Editeur: Springer

Livre dans la base de données depuis 2008-02-03T12:33:24+01:00 (Paris)
Page de détail modifiée en dernier sur 2023-12-23T16:57:42+01:00 (Paris)
ISBN/EAN: 9783540082750

ISBN - Autres types d'écriture:
3-540-08275-1, 978-3-540-08275-0
Autres types d'écriture et termes associés:
Auteur du livre: helmut hasse
Titre du livre: number theory, grundlehren der mathematischen wissenschaften, 229, mathematisch

---

Données de l'éditeur

Auteur: Helmut Hasse
Titre: Grundlehren der mathematischen Wissenschaften; Number Theory - A Series of Comprehensive Studies in Mathematics
Editeur: Springer; Springer Berlin
640 Pages
Date de parution: 1980-02-01
Berlin; Heidelberg; DE
Imprimé / Fabriqué en
Traducteur: H.G. Zimmer
Poids: 1,200 kg
Langue: Anglais
85,55 € (DE)
87,95 € (AT)
106,60 CHF (CH)
Not available, publisher indicates OP

BB; Book; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Zahlentheorie; number theory; quadratic forms; arithmetic; valuation theory; YellowSale2006; C; Number Theory; Mathematics and Statistics; EA; EA

Part I. The Foundations of Arthmetic in the Rational Number Field: Chapter 1 Prime Decomposition Chapter 2 Divisibility Chapter 3 Congruences Chapter 4 The Structure of the Residue Class Ring mod m and the Reduces Residue Class Group mod m. Chapter 5 Quadratic Residues Part II. The Theory of Valued Fields Chapter 6 The Fundamental Concepts Regarding Valuations Chapter 7 Arithmetic in a Discrete Valued Field Chapter 8 The Completition of a Valued Field Chapter 9 The Completition of a Discrete Valued Field. The p-adic Number Fields Chapter 10 The Isomorphism Types of Complete Discrete Valued Fields with Perfect Residue Class Field Chapter 11 Prolongation of the Discrete Valuation to a Purely Transcendental Extension Chapter 12 Prolongation of the Valuation of a Complete Field to a Finite Algebraic Extension Chapter 13 The Isomorphism Types of Complete Archidemean Valued Fields Chapter 14 The Structure of a Finite-Algebraic Extension of a Complete Discrete Valued Field Chapter 15 The Structure of the Multiplicative Group of a Complete Discrete Valued Field with Perfect Residue Class Fields of Prime Characteristic Chapter 16 The Tamely Ramified Extension Types of a Complete Discrete Valued Fields with Finite Residue Class Field of Characteristic p Chapter 17 The Exponential Function, the Logarithm, and Powers in a Complete Non-Archimedean Valued Field of Characteristic 0 Chapter 18 Prolongation of the Valuation of a Non-Complete Field to a Finite-Algebraic Extension Part III. The Foundations of Arithmetic Algebraic Number Fields Chapter 19 Relations Between the Complete System of Valuations and the Arithmetic of the Rational Number Field Chapter 20 Prolongation of the Complete System of Valuations to a Finite-Algebraic Extension Chapter 21 The Prime Spots of an Algebraic Number Field and their Completions Chapter 22 Decomposition into Prime Divisors, Integrality, and Divisibility Chapter 23 Congruences Chapter 24 The Multiples of a Divisor Chapter 25 Differents and Discriminants Chapter 26 Quadratic Number Fields Chapter 27 Cyclotomic Fields Chapter 28 Units Chapter 29 The Class Number Chapter 30 Approximation Theorems and Estimates of the Discriminant Index of Names Subject Index
86412605